id	sid	tid	token	lemma	pos
bae-3304	1	1	bio	bio	NOUN
bae-3304	1	2	-	-	PUNCT
bae-3304	1	3	based	base	VERB
bae-3304	1	4	and	and	CCONJ
bae-3304	1	5	applied	apply	VERB
bae-3304	1	6	economics	economic	NOUN
bae-3304	1	7	6(1	6(1	NUM
bae-3304	1	8	):	):	PUNCT
bae-3304	1	9	19	19	NUM
bae-3304	1	10	-	-	SYM
bae-3304	1	11	35	35	NUM
bae-3304	1	12	,	,	PUNCT
bae-3304	1	13	2017	2017	NUM
bae-3304	1	14	issn	issn	VERB
bae-3304	1	15	2280	2280	NUM
bae-3304	1	16	-	-	SYM
bae-3304	1	17	6180	6180	NUM
bae-3304	1	18	(	(	PUNCT
bae-3304	1	19	print	print	NOUN
bae-3304	1	20	)	)	PUNCT
bae-3304	1	21	©	©	PROPN
bae-3304	1	22	firenze	firenze	PROPN
bae-3304	1	23	university	university	PROPN
bae-3304	1	24	press	press	NOUN
bae-3304	1	25	issn	issn	VERB
bae-3304	1	26	2280	2280	NUM
bae-3304	1	27	-	-	SYM
bae-3304	1	28	6172	6172	NUM
bae-3304	1	29	(	(	PUNCT
bae-3304	1	30	online	online	ADJ
bae-3304	1	31	)	)	PUNCT
bae-3304	1	32	www.fupress.com/bae	www.fupress.com/bae	PROPN
bae-3304	1	33	full	full	ADJ
bae-3304	1	34	research	research	NOUN
bae-3304	1	35	article	article	NOUN
bae-3304	1	36	doi	doi	NOUN
bae-3304	1	37	:	:	PUNCT
bae-3304	1	38	10.13128	10.13128	NUM
bae-3304	1	39	/	/	SYM
bae-3304	1	40	bae-18140	bae-18140	NOUN
bae-3304	1	41	cost	cost	NOUN
bae-3304	1	42	function	function	NOUN
bae-3304	1	43	and	and	CCONJ
bae-3304	1	44	positive	positive	ADJ
bae-3304	1	45	mathematical	mathematical	ADJ
bae-3304	1	46	programming	programming	NOUN
bae-3304	1	47	quirino	quirino	PROPN
bae-3304	1	48	paris	paris	PROPN
bae-3304	1	49	department	department	PROPN
bae-3304	1	50	of	of	ADP
bae-3304	1	51	agricultural	agricultural	ADJ
bae-3304	1	52	and	and	CCONJ
bae-3304	1	53	resource	resource	NOUN
bae-3304	1	54	economics	economic	NOUN
bae-3304	1	55	,	,	PUNCT
bae-3304	1	56	university	university	PROPN
bae-3304	1	57	of	of	ADP
bae-3304	1	58	california	california	PROPN
bae-3304	1	59	,	,	PUNCT
bae-3304	1	60	davis	davis	PROPN
bae-3304	1	61	date	date	NOUN
bae-3304	1	62	of	of	ADP
bae-3304	1	63	submission	submission	NOUN
bae-3304	1	64	:	:	PUNCT
bae-3304	1	65	2016	2016	NUM
bae-3304	1	66	31st	31st	NOUN
bae-3304	1	67	,	,	PUNCT
bae-3304	1	68	march	march	PROPN
bae-3304	1	69	;	;	PUNCT
bae-3304	1	70	accepted	accept	VERB
bae-3304	1	71	2016	2016	NUM
bae-3304	1	72	28th	28th	NOUN
bae-3304	1	73	,	,	PUNCT
bae-3304	1	74	november	november	PROPN
bae-3304	1	75	abstract	abstract	NOUN
bae-3304	1	76	.	.	PUNCT
bae-3304	2	1	a	a	DET
bae-3304	2	2	line	line	NOUN
bae-3304	2	3	of	of	ADP
bae-3304	2	4	research	research	NOUN
bae-3304	2	5	in	in	ADP
bae-3304	2	6	positive	positive	ADJ
bae-3304	2	7	mathematical	mathematical	ADJ
bae-3304	2	8	programming	programming	NOUN
bae-3304	2	9	(	(	PUNCT
bae-3304	2	10	pmp	pmp	PROPN
bae-3304	2	11	)	)	PUNCT
bae-3304	2	12	has	have	AUX
bae-3304	2	13	pursued	pursue	VERB
bae-3304	2	14	the	the	DET
bae-3304	2	15	goal	goal	NOUN
bae-3304	2	16	of	of	ADP
bae-3304	2	17	estimating	estimate	VERB
bae-3304	2	18	a	a	DET
bae-3304	2	19	cost	cost	NOUN
bae-3304	2	20	function	function	NOUN
bae-3304	2	21	capable	capable	ADJ
bae-3304	2	22	of	of	ADP
bae-3304	2	23	reproducing	reproduce	VERB
bae-3304	2	24	the	the	DET
bae-3304	2	25	base	base	ADJ
bae-3304	2	26	-	-	PUNCT
bae-3304	2	27	year	year	NOUN
bae-3304	2	28	results	result	NOUN
bae-3304	2	29	in	in	ADP
bae-3304	2	30	a	a	DET
bae-3304	2	31	sample	sample	NOUN
bae-3304	2	32	of	of	ADP
bae-3304	2	33	farms	farm	NOUN
bae-3304	2	34	.	.	PUNCT
bae-3304	3	1	originally	originally	ADV
bae-3304	3	2	,	,	PUNCT
bae-3304	3	3	the	the	DET
bae-3304	3	4	pmp	pmp	PROPN
bae-3304	3	5	approach	approach	NOUN
bae-3304	3	6	estimated	estimate	VERB
bae-3304	3	7	a	a	DET
bae-3304	3	8	“	"	PUNCT
bae-3304	3	9	myopic	myopic	ADJ
bae-3304	3	10	”	"	PUNCT
bae-3304	3	11	cost	cost	NOUN
bae-3304	3	12	function	function	NOUN
bae-3304	3	13	,	,	PUNCT
bae-3304	3	14	that	that	ADV
bae-3304	3	15	is	is	ADV
bae-3304	3	16	,	,	PUNCT
bae-3304	3	17	a	a	DET
bae-3304	3	18	cost	cost	NOUN
bae-3304	3	19	relation	relation	NOUN
bae-3304	3	20	depending	depend	VERB
bae-3304	3	21	only	only	ADV
bae-3304	3	22	on	on	ADP
bae-3304	3	23	the	the	DET
bae-3304	3	24	output	output	NOUN
bae-3304	3	25	levels	level	NOUN
bae-3304	3	26	observed	observe	VERB
bae-3304	3	27	during	during	ADP
bae-3304	3	28	a	a	DET
bae-3304	3	29	production	production	NOUN
bae-3304	3	30	cycle	cycle	NOUN
bae-3304	3	31	.	.	PUNCT
bae-3304	4	1	no	no	DET
bae-3304	4	2	input	input	NOUN
bae-3304	4	3	price	price	NOUN
bae-3304	4	4	entered	enter	VERB
bae-3304	4	5	this	this	DET
bae-3304	4	6	type	type	NOUN
bae-3304	4	7	of	of	ADP
bae-3304	4	8	cost	cost	NOUN
bae-3304	4	9	function	function	NOUN
bae-3304	4	10	.	.	PUNCT
bae-3304	5	1	in	in	ADP
bae-3304	5	2	this	this	DET
bae-3304	5	3	paper	paper	NOUN
bae-3304	5	4	we	we	PRON
bae-3304	5	5	define	define	VERB
bae-3304	5	6	and	and	CCONJ
bae-3304	5	7	estimate	estimate	VERB
bae-3304	5	8	a	a	DET
bae-3304	5	9	proper	proper	ADJ
bae-3304	5	10	cost	cost	NOUN
bae-3304	5	11	function	function	NOUN
bae-3304	5	12	that	that	PRON
bae-3304	5	13	calibrates	calibrate	VERB
bae-3304	5	14	the	the	DET
bae-3304	5	15	economic	economic	ADJ
bae-3304	5	16	results	result	NOUN
bae-3304	5	17	of	of	ADP
bae-3304	5	18	a	a	DET
bae-3304	5	19	sample	sample	NOUN
bae-3304	5	20	of	of	ADP
bae-3304	5	21	farms	farm	NOUN
bae-3304	5	22	.	.	PUNCT
bae-3304	6	1	in	in	ADP
bae-3304	6	2	the	the	DET
bae-3304	6	3	process	process	NOUN
bae-3304	6	4	,	,	PUNCT
bae-3304	6	5	we	we	PRON
bae-3304	6	6	demonstrate	demonstrate	VERB
bae-3304	6	7	the	the	DET
bae-3304	6	8	existence	existence	NOUN
bae-3304	6	9	of	of	ADP
bae-3304	6	10	a	a	DET
bae-3304	6	11	unique	unique	ADJ
bae-3304	6	12	solution	solution	NOUN
bae-3304	6	13	of	of	ADP
bae-3304	6	14	the	the	DET
bae-3304	6	15	pmp	pmp	PROPN
bae-3304	6	16	problem	problem	NOUN
bae-3304	6	17	when	when	SCONJ
bae-3304	6	18	observed	observed	ADJ
bae-3304	6	19	output	output	NOUN
bae-3304	6	20	quantities	quantity	NOUN
bae-3304	6	21	and	and	CCONJ
bae-3304	6	22	limiting	limit	VERB
bae-3304	6	23	input	input	NOUN
bae-3304	6	24	prices	price	NOUN
bae-3304	6	25	are	be	AUX
bae-3304	6	26	taken	take	VERB
bae-3304	6	27	as	as	ADP
bae-3304	6	28	calibrating	calibrate	VERB
bae-3304	6	29	benchmarks	benchmark	NOUN
bae-3304	6	30	.	.	PUNCT
bae-3304	7	1	furthermore	furthermore	ADV
bae-3304	7	2	,	,	PUNCT
bae-3304	7	3	the	the	DET
bae-3304	7	4	paper	paper	NOUN
bae-3304	7	5	shows	show	VERB
bae-3304	7	6	how	how	SCONJ
bae-3304	7	7	to	to	PART
bae-3304	7	8	obtain	obtain	VERB
bae-3304	7	9	endogenous	endogenous	ADJ
bae-3304	7	10	output	output	NOUN
bae-3304	7	11	supply	supply	NOUN
bae-3304	7	12	elasticities	elasticity	NOUN
bae-3304	7	13	that	that	PRON
bae-3304	7	14	calibrate	calibrate	VERB
bae-3304	7	15	with	with	ADP
bae-3304	7	16	available	available	ADJ
bae-3304	7	17	exogenous	exogenous	ADJ
bae-3304	7	18	information	information	NOUN
bae-3304	7	19	in	in	ADP
bae-3304	7	20	the	the	DET
bae-3304	7	21	form	form	NOUN
bae-3304	7	22	of	of	ADP
bae-3304	7	23	previously	previously	ADV
bae-3304	7	24	estimated	estimate	VERB
bae-3304	7	25	elasticities	elasticity	NOUN
bae-3304	7	26	for	for	ADP
bae-3304	7	27	an	an	DET
bae-3304	7	28	entire	entire	ADJ
bae-3304	7	29	region	region	NOUN
bae-3304	7	30	or	or	CCONJ
bae-3304	7	31	sector	sector	NOUN
bae-3304	7	32	.	.	PUNCT
bae-3304	8	1	this	this	DET
bae-3304	8	2	framework	framework	NOUN
bae-3304	8	3	is	be	AUX
bae-3304	8	4	applied	apply	VERB
bae-3304	8	5	to	to	ADP
bae-3304	8	6	a	a	DET
bae-3304	8	7	sample	sample	NOUN
bae-3304	8	8	of	of	ADP
bae-3304	8	9	italian	italian	ADJ
bae-3304	8	10	farms	farm	NOUN
bae-3304	8	11	that	that	PRON
bae-3304	8	12	admit	admit	VERB
bae-3304	8	13	no	no	DET
bae-3304	8	14	production	production	NOUN
bae-3304	8	15	for	for	ADP
bae-3304	8	16	some	some	PRON
bae-3304	8	17	of	of	ADP
bae-3304	8	18	the	the	DET
bae-3304	8	19	crop	crop	NOUN
bae-3304	8	20	activities	activity	NOUN
bae-3304	8	21	.	.	PUNCT
bae-3304	9	1	this	this	DET
bae-3304	9	2	pmp	pmp	PROPN
bae-3304	9	3	model	model	NOUN
bae-3304	9	4	can	can	AUX
bae-3304	9	5	be	be	AUX
bae-3304	9	6	used	use	VERB
bae-3304	9	7	to	to	PART
bae-3304	9	8	explore	explore	VERB
bae-3304	9	9	farmers	farmer	NOUN
bae-3304	9	10	’	'	PUNCT
bae-3304	9	11	response	response	NOUN
bae-3304	9	12	to	to	ADP
bae-3304	9	13	various	various	ADJ
bae-3304	9	14	policy	policy	NOUN
bae-3304	9	15	decisions	decision	NOUN
bae-3304	9	16	involving	involve	VERB
bae-3304	9	17	output	output	NOUN
bae-3304	9	18	prices	price	NOUN
bae-3304	9	19	,	,	PUNCT
bae-3304	9	20	environmental	environmental	ADJ
bae-3304	9	21	constraints	constraint	NOUN
bae-3304	9	22	,	,	PUNCT
bae-3304	9	23	limiting	limit	VERB
bae-3304	9	24	input	input	NOUN
bae-3304	9	25	supply	supply	NOUN
bae-3304	9	26	,	,	PUNCT
bae-3304	9	27	and	and	CCONJ
bae-3304	9	28	other	other	ADJ
bae-3304	9	29	government	government	NOUN
bae-3304	9	30	interventions	intervention	NOUN
bae-3304	9	31	.	.	PUNCT
bae-3304	10	1	keywords	keyword	NOUN
bae-3304	10	2	.	.	PUNCT
bae-3304	11	1	positive	positive	ADJ
bae-3304	11	2	mathematical	mathematical	ADJ
bae-3304	11	3	programming	programming	NOUN
bae-3304	11	4	,	,	PUNCT
bae-3304	11	5	solution	solution	NOUN
bae-3304	11	6	uniqueness	uniqueness	NOUN
bae-3304	11	7	,	,	PUNCT
bae-3304	11	8	supply	supply	NOUN
bae-3304	11	9	elasticities	elasticity	NOUN
bae-3304	11	10	,	,	PUNCT
bae-3304	11	11	calibrating	calibrate	VERB
bae-3304	11	12	model	model	PROPN
bae-3304	11	13	jel	jel	PROPN
bae-3304	11	14	codes	code	NOUN
bae-3304	11	15	.	.	PUNCT
bae-3304	12	1	c6	c6	PROPN
bae-3304	12	2	1	1	NUM
bae-3304	12	3	.	.	PUNCT
bae-3304	12	4	introduction	introduction	NOUN
bae-3304	12	5	a	a	DET
bae-3304	12	6	cost	cost	NOUN
bae-3304	12	7	function	function	NOUN
bae-3304	12	8	embodies	embody	VERB
bae-3304	12	9	the	the	DET
bae-3304	12	10	technological	technological	ADJ
bae-3304	12	11	and	and	CCONJ
bae-3304	12	12	market	market	NOUN
bae-3304	12	13	conditions	condition	NOUN
bae-3304	12	14	facing	face	VERB
bae-3304	12	15	a	a	DET
bae-3304	12	16	rational	rational	ADJ
bae-3304	12	17	entrepreneur	entrepreneur	NOUN
bae-3304	12	18	in	in	ADP
bae-3304	12	19	the	the	DET
bae-3304	12	20	production	production	NOUN
bae-3304	12	21	of	of	ADP
bae-3304	12	22	given	give	VERB
bae-3304	12	23	output	output	NOUN
bae-3304	12	24	levels	level	NOUN
bae-3304	12	25	.	.	PUNCT
bae-3304	13	1	shephard	shephard	PROPN
bae-3304	13	2	lemma	lemma	PROPN
bae-3304	13	3	(	(	PUNCT
bae-3304	13	4	1953	1953	NUM
bae-3304	13	5	)	)	PUNCT
bae-3304	13	6	established	establish	VERB
bae-3304	13	7	the	the	DET
bae-3304	13	8	duality	duality	NOUN
bae-3304	13	9	between	between	ADP
bae-3304	13	10	a	a	DET
bae-3304	13	11	cost	cost	NOUN
bae-3304	13	12	function	function	NOUN
bae-3304	13	13	and	and	CCONJ
bae-3304	13	14	the	the	DET
bae-3304	13	15	underlying	underlie	VERB
bae-3304	13	16	production	production	NOUN
bae-3304	13	17	technology	technology	NOUN
bae-3304	13	18	.	.	PUNCT
bae-3304	14	1	under	under	ADP
bae-3304	14	2	restrictive	restrictive	ADJ
bae-3304	14	3	conditions	condition	NOUN
bae-3304	14	4	,	,	PUNCT
bae-3304	14	5	it	it	PRON
bae-3304	14	6	may	may	AUX
bae-3304	14	7	be	be	AUX
bae-3304	14	8	possible	possible	ADJ
bae-3304	14	9	to	to	PART
bae-3304	14	10	obtain	obtain	VERB
bae-3304	14	11	an	an	DET
bae-3304	14	12	explicit	explicit	ADJ
bae-3304	14	13	expression	expression	NOUN
bae-3304	14	14	of	of	ADP
bae-3304	14	15	the	the	DET
bae-3304	14	16	underlying	underlie	VERB
bae-3304	14	17	production	production	NOUN
bae-3304	14	18	function	function	NOUN
bae-3304	14	19	(	(	PUNCT
bae-3304	14	20	cobb	cobb	PROPN
bae-3304	14	21	-	-	PUNCT
bae-3304	14	22	douglas	douglas	PROPN
bae-3304	14	23	,	,	PUNCT
bae-3304	14	24	ces	ces	PROPN
bae-3304	14	25	,	,	PUNCT
bae-3304	14	26	generalized	generalized	ADJ
bae-3304	14	27	leontief	leontief	NOUN
bae-3304	14	28	)	)	PUNCT
bae-3304	14	29	.	.	PUNCT
bae-3304	15	1	in	in	ADP
bae-3304	15	2	other	other	ADJ
bae-3304	15	3	cases	case	NOUN
bae-3304	15	4	,	,	PUNCT
bae-3304	15	5	however	however	ADV
bae-3304	15	6	,	,	PUNCT
bae-3304	15	7	the	the	DET
bae-3304	15	8	derivation	derivation	NOUN
bae-3304	15	9	of	of	ADP
bae-3304	15	10	an	an	DET
bae-3304	15	11	explicit	explicit	ADJ
bae-3304	15	12	production	production	NOUN
bae-3304	15	13	function	function	NOUN
bae-3304	15	14	may	may	AUX
bae-3304	15	15	be	be	AUX
bae-3304	15	16	impossible	impossible	ADJ
bae-3304	15	17	(	(	PUNCT
bae-3304	15	18	translog	translog	NOUN
bae-3304	15	19	cost	cost	NOUN
bae-3304	15	20	function	function	NOUN
bae-3304	15	21	)	)	PUNCT
bae-3304	15	22	.	.	PUNCT
bae-3304	16	1	from	from	ADP
bae-3304	16	2	an	an	DET
bae-3304	16	3	empirical	empirical	ADJ
bae-3304	16	4	and	and	CCONJ
bae-3304	16	5	policy	policy	NOUN
bae-3304	16	6	viewpoint	viewpoint	NOUN
bae-3304	16	7	,	,	PUNCT
bae-3304	16	8	however	however	ADV
bae-3304	16	9	,	,	PUNCT
bae-3304	16	10	this	this	DET
bae-3304	16	11	lack	lack	NOUN
bae-3304	16	12	of	of	ADP
bae-3304	16	13	explicit	explicit	ADJ
bae-3304	16	14	duality	duality	NOUN
bae-3304	16	15	is	be	AUX
bae-3304	16	16	not	not	PART
bae-3304	16	17	a	a	DET
bae-3304	16	18	serious	serious	ADJ
bae-3304	16	19	deficit	deficit	NOUN
bae-3304	16	20	since	since	SCONJ
bae-3304	16	21	the	the	DET
bae-3304	16	22	cost	cost	NOUN
bae-3304	16	23	function	function	NOUN
bae-3304	16	24	–	–	PUNCT
bae-3304	16	25	as	as	SCONJ
bae-3304	16	26	stated	state	VERB
bae-3304	16	27	above	above	ADV
bae-3304	16	28	–	–	PUNCT
bae-3304	16	29	summarizes	summarize	VERB
bae-3304	16	30	all	all	DET
bae-3304	16	31	the	the	DET
bae-3304	16	32	technological	technological	ADJ
bae-3304	16	33	and	and	CCONJ
bae-3304	16	34	market	market	NOUN
bae-3304	16	35	conditions	condition	NOUN
bae-3304	16	36	.	.	PUNCT
bae-3304	17	1	corresponding	correspond	VERB
bae-3304	17	2	author	author	NOUN
bae-3304	17	3	:	:	PUNCT
bae-3304	17	4	paris@primal.ucdavis.edu	paris@primal.ucdavis.edu	NUM
bae-3304	17	5	20	20	NUM
bae-3304	17	6	q.	q.	NOUN
bae-3304	17	7	paris	paris	PROPN
bae-3304	17	8	the	the	DET
bae-3304	17	9	methodological	methodological	ADJ
bae-3304	17	10	contribution	contribution	NOUN
bae-3304	17	11	of	of	ADP
bae-3304	17	12	this	this	DET
bae-3304	17	13	paper	paper	NOUN
bae-3304	17	14	–	–	PUNCT
bae-3304	17	15	with	with	ADP
bae-3304	17	16	reference	reference	NOUN
bae-3304	17	17	to	to	ADP
bae-3304	17	18	a	a	DET
bae-3304	17	19	sample	sample	NOUN
bae-3304	17	20	of	of	ADP
bae-3304	17	21	farms	farm	NOUN
bae-3304	17	22	–	–	PUNCT
bae-3304	17	23	can	can	AUX
bae-3304	17	24	be	be	AUX
bae-3304	17	25	outlined	outline	VERB
bae-3304	17	26	in	in	ADP
bae-3304	17	27	four	four	NUM
bae-3304	17	28	connected	connected	ADJ
bae-3304	17	29	objectives	objective	NOUN
bae-3304	17	30	.	.	PUNCT
bae-3304	18	1	first	first	ADV
bae-3304	18	2	,	,	PUNCT
bae-3304	18	3	we	we	PRON
bae-3304	18	4	assume	assume	VERB
bae-3304	18	5	the	the	DET
bae-3304	18	6	availability	availability	NOUN
bae-3304	18	7	of	of	ADP
bae-3304	18	8	information	information	NOUN
bae-3304	18	9	regarding	regard	VERB
bae-3304	18	10	a	a	DET
bae-3304	18	11	sample	sample	NOUN
bae-3304	18	12	of	of	ADP
bae-3304	18	13	farm	farm	NOUN
bae-3304	18	14	production	production	NOUN
bae-3304	18	15	plans	plan	NOUN
bae-3304	18	16	that	that	PRON
bae-3304	18	17	were	be	AUX
bae-3304	18	18	realized	realize	VERB
bae-3304	18	19	in	in	ADP
bae-3304	18	20	the	the	DET
bae-3304	18	21	most	most	ADV
bae-3304	18	22	current	current	ADJ
bae-3304	18	23	production	production	NOUN
bae-3304	18	24	cycles	cycle	NOUN
bae-3304	18	25	,	,	PUNCT
bae-3304	18	26	as	as	ADP
bae-3304	18	27	in	in	ADP
bae-3304	18	28	the	the	DET
bae-3304	18	29	traditional	traditional	ADJ
bae-3304	18	30	approach	approach	NOUN
bae-3304	18	31	of	of	ADP
bae-3304	18	32	positive	positive	ADJ
bae-3304	18	33	mathematical	mathematical	ADJ
bae-3304	18	34	programming	programming	NOUN
bae-3304	18	35	(	(	PUNCT
bae-3304	18	36	pmp	pmp	PROPN
bae-3304	18	37	)	)	PUNCT
bae-3304	18	38	.	.	PUNCT
bae-3304	19	1	we	we	PRON
bae-3304	19	2	also	also	ADV
bae-3304	19	3	assume	assume	VERB
bae-3304	19	4	the	the	DET
bae-3304	19	5	availability	availability	NOUN
bae-3304	19	6	of	of	ADP
bae-3304	19	7	the	the	DET
bae-3304	19	8	price	price	NOUN
bae-3304	19	9	of	of	ADP
bae-3304	19	10	limiting	limit	VERB
bae-3304	19	11	inputs	input	NOUN
bae-3304	19	12	(	(	PUNCT
bae-3304	19	13	either	either	CCONJ
bae-3304	19	14	at	at	ADP
bae-3304	19	15	the	the	DET
bae-3304	19	16	farm	farm	NOUN
bae-3304	19	17	or	or	CCONJ
bae-3304	19	18	regional	regional	ADJ
bae-3304	19	19	level	level	NOUN
bae-3304	19	20	)	)	PUNCT
bae-3304	19	21	.	.	PUNCT
bae-3304	20	1	these	these	DET
bae-3304	20	2	important	important	ADJ
bae-3304	20	3	pieces	piece	NOUN
bae-3304	20	4	of	of	ADP
bae-3304	20	5	information	information	NOUN
bae-3304	20	6	are	be	AUX
bae-3304	20	7	treated	treat	VERB
bae-3304	20	8	symmetrically	symmetrically	ADV
bae-3304	20	9	and	and	CCONJ
bae-3304	20	10	are	be	AUX
bae-3304	20	11	used	use	VERB
bae-3304	20	12	in	in	ADP
bae-3304	20	13	a	a	DET
bae-3304	20	14	model	model	NOUN
bae-3304	20	15	that	that	PRON
bae-3304	20	16	generates	generate	VERB
bae-3304	20	17	a	a	DET
bae-3304	20	18	unique	unique	ADJ
bae-3304	20	19	calibrating	calibrate	VERB
bae-3304	20	20	solution	solution	NOUN
bae-3304	20	21	.	.	PUNCT
bae-3304	21	1	second	second	ADJ
bae-3304	21	2	,	,	PUNCT
bae-3304	21	3	we	we	PRON
bae-3304	21	4	define	define	VERB
bae-3304	21	5	and	and	CCONJ
bae-3304	21	6	estimate	estimate	VERB
bae-3304	21	7	a	a	DET
bae-3304	21	8	complete	complete	ADJ
bae-3304	21	9	(	(	PUNCT
bae-3304	21	10	non	non	X
bae-3304	21	11	myopic	myopic	ADJ
bae-3304	21	12	)	)	PUNCT
bae-3304	21	13	cost	cost	NOUN
bae-3304	21	14	function	function	NOUN
bae-3304	21	15	that	that	PRON
bae-3304	21	16	includes	include	VERB
bae-3304	21	17	calibrating	calibrate	VERB
bae-3304	21	18	output	output	NOUN
bae-3304	21	19	quantities	quantity	NOUN
bae-3304	21	20	and	and	CCONJ
bae-3304	21	21	limiting	limit	VERB
bae-3304	21	22	input	input	NOUN
bae-3304	21	23	prices	price	NOUN
bae-3304	21	24	.	.	PUNCT
bae-3304	22	1	this	this	DET
bae-3304	22	2	cost	cost	NOUN
bae-3304	22	3	function	function	NOUN
bae-3304	22	4	,	,	PUNCT
bae-3304	22	5	then	then	ADV
bae-3304	22	6	,	,	PUNCT
bae-3304	22	7	can	can	AUX
bae-3304	22	8	be	be	AUX
bae-3304	22	9	used	use	VERB
bae-3304	22	10	in	in	ADP
bae-3304	22	11	the	the	DET
bae-3304	22	12	analysis	analysis	NOUN
bae-3304	22	13	of	of	ADP
bae-3304	22	14	policy	policy	NOUN
bae-3304	22	15	scenarios	scenario	NOUN
bae-3304	22	16	.	.	PUNCT
bae-3304	23	1	third	third	ADJ
bae-3304	23	2	,	,	PUNCT
bae-3304	23	3	we	we	PRON
bae-3304	23	4	calibrate	calibrate	VERB
bae-3304	23	5	the	the	DET
bae-3304	23	6	pmp	pmp	PROPN
bae-3304	23	7	farm	farm	NOUN
bae-3304	23	8	model	model	NOUN
bae-3304	23	9	using	use	VERB
bae-3304	23	10	exogenously	exogenously	ADV
bae-3304	23	11	determined	determine	VERB
bae-3304	23	12	(	(	PUNCT
bae-3304	23	13	via	via	ADP
bae-3304	23	14	econometric	econometric	ADJ
bae-3304	23	15	studies	study	NOUN
bae-3304	23	16	or	or	CCONJ
bae-3304	23	17	expert	expert	NOUN
bae-3304	23	18	judgement	judgement	NOUN
bae-3304	23	19	)	)	PUNCT
bae-3304	23	20	output	output	NOUN
bae-3304	23	21	supply	supply	NOUN
bae-3304	23	22	elasticities	elasticity	NOUN
bae-3304	23	23	.	.	PUNCT
bae-3304	24	1	fourth	fourth	ADJ
bae-3304	24	2	,	,	PUNCT
bae-3304	24	3	we	we	PRON
bae-3304	24	4	extend	extend	VERB
bae-3304	24	5	the	the	DET
bae-3304	24	6	pmp	pmp	PROPN
bae-3304	24	7	methodology	methodology	NOUN
bae-3304	24	8	to	to	ADP
bae-3304	24	9	the	the	DET
bae-3304	24	10	realistic	realistic	ADJ
bae-3304	24	11	case	case	NOUN
bae-3304	24	12	where	where	SCONJ
bae-3304	24	13	not	not	PART
bae-3304	24	14	all	all	DET
bae-3304	24	15	farms	farm	NOUN
bae-3304	24	16	cultivate	cultivate	VERB
bae-3304	24	17	all	all	DET
bae-3304	24	18	crop	crop	NOUN
bae-3304	24	19	activities	activity	NOUN
bae-3304	24	20	.	.	PUNCT
bae-3304	25	1	the	the	DET
bae-3304	25	2	pursuit	pursuit	NOUN
bae-3304	25	3	of	of	ADP
bae-3304	25	4	these	these	DET
bae-3304	25	5	four	four	NUM
bae-3304	25	6	objectives	objective	NOUN
bae-3304	25	7	is	be	AUX
bae-3304	25	8	the	the	DET
bae-3304	25	9	content	content	NOUN
bae-3304	25	10	of	of	ADP
bae-3304	25	11	the	the	DET
bae-3304	25	12	following	follow	VERB
bae-3304	25	13	eight	eight	NUM
bae-3304	25	14	sections	section	NOUN
bae-3304	25	15	.	.	PUNCT
bae-3304	26	1	the	the	DET
bae-3304	26	2	paper	paper	NOUN
bae-3304	26	3	proposes	propose	VERB
bae-3304	26	4	an	an	DET
bae-3304	26	5	approach	approach	NOUN
bae-3304	26	6	to	to	ADP
bae-3304	26	7	positive	positive	ADJ
bae-3304	26	8	mathematical	mathematical	ADJ
bae-3304	26	9	programming	programming	NOUN
bae-3304	26	10	that	that	PRON
bae-3304	26	11	guarantees	guarantee	VERB
bae-3304	26	12	the	the	DET
bae-3304	26	13	uniqueness	uniqueness	NOUN
bae-3304	26	14	of	of	ADP
bae-3304	26	15	the	the	DET
bae-3304	26	16	calibrating	calibrate	VERB
bae-3304	26	17	solution	solution	NOUN
bae-3304	26	18	,	,	PUNCT
bae-3304	26	19	a	a	DET
bae-3304	26	20	result	result	NOUN
bae-3304	26	21	that	that	PRON
bae-3304	26	22	relies	rely	VERB
bae-3304	26	23	upon	upon	SCONJ
bae-3304	26	24	the	the	DET
bae-3304	26	25	use	use	NOUN
bae-3304	26	26	of	of	ADP
bae-3304	26	27	all	all	DET
bae-3304	26	28	the	the	DET
bae-3304	26	29	available	available	ADJ
bae-3304	26	30	information	information	NOUN
bae-3304	26	31	,	,	PUNCT
bae-3304	26	32	including	include	VERB
bae-3304	26	33	prices	price	NOUN
bae-3304	26	34	of	of	ADP
bae-3304	26	35	limiting	limit	VERB
bae-3304	26	36	inputs	input	NOUN
bae-3304	26	37	.	.	PUNCT
bae-3304	27	1	this	this	PRON
bae-3304	27	2	is	be	AUX
bae-3304	27	3	the	the	DET
bae-3304	27	4	starting	starting	NOUN
bae-3304	27	5	point	point	NOUN
bae-3304	27	6	of	of	ADP
bae-3304	27	7	the	the	DET
bae-3304	27	8	paper	paper	NOUN
bae-3304	27	9	.	.	PUNCT
bae-3304	28	1	toward	toward	ADP
bae-3304	28	2	the	the	DET
bae-3304	28	3	goal	goal	NOUN
bae-3304	28	4	of	of	ADP
bae-3304	28	5	dealing	deal	VERB
bae-3304	28	6	also	also	ADV
bae-3304	28	7	with	with	ADP
bae-3304	28	8	calibrating	calibrate	VERB
bae-3304	28	9	input	input	NOUN
bae-3304	28	10	prices	price	NOUN
bae-3304	28	11	we	we	PRON
bae-3304	28	12	discuss	discuss	VERB
bae-3304	28	13	first	first	ADV
bae-3304	28	14	the	the	DET
bae-3304	28	15	pmp	pmp	PROPN
bae-3304	28	16	approach	approach	NOUN
bae-3304	28	17	as	as	ADV
bae-3304	28	18	often	often	ADV
bae-3304	28	19	practiced	practice	VERB
bae-3304	28	20	to	to	ADP
bae-3304	28	21	date	date	NOUN
bae-3304	28	22	(	(	PUNCT
bae-3304	28	23	qureshi	qureshi	PROPN
bae-3304	28	24	et	et	PROPN
bae-3304	28	25	al	al	PROPN
bae-3304	28	26	.	.	PROPN
bae-3304	28	27	,	,	PUNCT
bae-3304	28	28	2014	2014	NUM
bae-3304	28	29	,	,	PUNCT
bae-3304	28	30	arfini	arfini	VERB
bae-3304	28	31	et	et	PROPN
bae-3304	28	32	al	al	PROPN
bae-3304	28	33	.	.	PROPN
bae-3304	28	34	,	,	PUNCT
bae-3304	28	35	2013	2013	NUM
bae-3304	28	36	,	,	PUNCT
bae-3304	28	37	howitt	howitt	X
bae-3304	28	38	et	et	PROPN
bae-3304	28	39	al	al	PROPN
bae-3304	28	40	.	.	PROPN
bae-3304	28	41	,	,	PUNCT
bae-3304	28	42	2012	2012	NUM
bae-3304	28	43	,	,	PUNCT
bae-3304	28	44	henseler	henseler	NOUN
bae-3304	28	45	et	et	PROPN
bae-3304	28	46	al	al	PROPN
bae-3304	28	47	.	.	PROPN
bae-3304	28	48	,	,	PUNCT
bae-3304	28	49	2009	2009	NUM
bae-3304	28	50	,	,	PUNCT
bae-3304	28	51	cortigiani	cortigiani	PROPN
bae-3304	28	52	et	et	PROPN
bae-3304	28	53	al	al	PROPN
bae-3304	28	54	.	.	PROPN
bae-3304	28	55	,	,	PUNCT
bae-3304	28	56	2009	2009	NUM
bae-3304	28	57	)	)	PUNCT
bae-3304	28	58	.	.	PUNCT
bae-3304	29	1	the	the	DET
bae-3304	29	2	original	original	ADJ
bae-3304	29	3	formulation	formulation	NOUN
bae-3304	29	4	of	of	ADP
bae-3304	29	5	the	the	DET
bae-3304	29	6	pmp	pmp	PROPN
bae-3304	29	7	methodology	methodology	NOUN
bae-3304	29	8	(	(	PUNCT
bae-3304	29	9	howitt	howitt	ADJ
bae-3304	29	10	,	,	PUNCT
bae-3304	29	11	1995a	1995a	NUM
bae-3304	29	12	,	,	PUNCT
bae-3304	29	13	1995b	1995b	NUM
bae-3304	29	14	)	)	PUNCT
bae-3304	29	15	was	be	AUX
bae-3304	29	16	based	base	VERB
bae-3304	29	17	upon	upon	SCONJ
bae-3304	29	18	the	the	DET
bae-3304	29	19	estimation	estimation	NOUN
bae-3304	29	20	of	of	ADP
bae-3304	29	21	the	the	DET
bae-3304	29	22	marginal	marginal	ADJ
bae-3304	29	23	cost	cost	NOUN
bae-3304	29	24	associated	associate	VERB
bae-3304	29	25	with	with	ADP
bae-3304	29	26	the	the	DET
bae-3304	29	27	observed	observe	VERB
bae-3304	29	28	production	production	NOUN
bae-3304	29	29	plan	plan	NOUN
bae-3304	29	30	(	(	PUNCT
bae-3304	29	31	or	or	CCONJ
bae-3304	29	32	the	the	DET
bae-3304	29	33	difference	difference	NOUN
bae-3304	29	34	between	between	ADP
bae-3304	29	35	known	know	VERB
bae-3304	29	36	per	per	ADP
bae-3304	29	37	-	-	PUNCT
bae-3304	29	38	output	output	NOUN
bae-3304	29	39	unit	unit	NOUN
bae-3304	29	40	accounting	accounting	NOUN
bae-3304	29	41	costs	cost	NOUN
bae-3304	29	42	and	and	CCONJ
bae-3304	29	43	effective	effective	ADJ
bae-3304	29	44	economic	economic	ADJ
bae-3304	29	45	marginal	marginal	ADJ
bae-3304	29	46	costs	cost	NOUN
bae-3304	29	47	)	)	PUNCT
bae-3304	29	48	.	.	PUNCT
bae-3304	30	1	phase	phase	NOUN
bae-3304	30	2	i	i	PRON
bae-3304	30	3	of	of	ADP
bae-3304	30	4	this	this	DET
bae-3304	30	5	model	model	NOUN
bae-3304	30	6	took	take	VERB
bae-3304	30	7	on	on	ADP
bae-3304	30	8	the	the	DET
bae-3304	30	9	following	follow	VERB
bae-3304	30	10	specification	specification	NOUN
bae-3304	30	11	(	(	PUNCT
bae-3304	30	12	howitt	howitt	ADJ
bae-3304	30	13	,	,	PUNCT
bae-3304	30	14	1995a	1995a	NUM
bae-3304	30	15	,	,	PUNCT
bae-3304	30	16	p.	p.	NOUN
bae-3304	30	17	151	151	NUM
bae-3304	30	18	):	):	PUNCT
bae-3304	30	19	primal	primal	ADJ
bae-3304	30	20	maxtnr	maxtnr	NOUN
bae-3304	30	21	=	=	SYM
bae-3304	30	22	p’x	p’x	PROPN
bae-3304	30	23	c’x	c’x	PROPN
bae-3304	31	1	(	(	PUNCT
bae-3304	31	2	1	1	X
bae-3304	31	3	)	)	PUNCT
bae-3304	31	4	subject	subject	NOUN
bae-3304	31	5	to	to	ADP
bae-3304	31	6	ax	ax	NOUN
bae-3304	31	7	≤	≤	NUM
bae-3304	31	8	b	b	ADP
bae-3304	31	9	structural	structural	ADJ
bae-3304	31	10	constraints	constraint	NOUN
bae-3304	31	11	(	(	PUNCT
bae-3304	31	12	2	2	NUM
bae-3304	31	13	)	)	PUNCT
bae-3304	31	14	ε+x	ε+x	NUM
bae-3304	31	15	x≤	x≤	VERB
bae-3304	31	16	calibration	calibration	NOUN
bae-3304	31	17	constraints	constraint	NOUN
bae-3304	31	18	(	(	PUNCT
bae-3304	31	19	3	3	NUM
bae-3304	31	20	)	)	PUNCT
bae-3304	31	21	and	and	CCONJ
bae-3304	31	22	x	x	X
bae-3304	31	23	≥	≥	NOUN
bae-3304	31	24	0	0	NUM
bae-3304	31	25	where	where	SCONJ
bae-3304	31	26	a	a	PRON
bae-3304	31	27	is	be	AUX
bae-3304	31	28	a	a	DET
bae-3304	31	29	matrix	matrix	NOUN
bae-3304	31	30	of	of	ADP
bae-3304	31	31	technical	technical	ADJ
bae-3304	31	32	coefficients	coefficient	NOUN
bae-3304	31	33	of	of	ADP
bae-3304	31	34	dimensions	dimension	NOUN
bae-3304	31	35	(	(	PUNCT
bae-3304	31	36	i×j	i×j	PROPN
bae-3304	31	37	,	,	PUNCT
bae-3304	31	38	i	i	PROPN
bae-3304	31	39	<	<	X
bae-3304	31	40	j	j	PROPN
bae-3304	31	41	)	)	PUNCT
bae-3304	31	42	and	and	CCONJ
bae-3304	31	43	all	all	DET
bae-3304	31	44	the	the	DET
bae-3304	31	45	other	other	ADJ
bae-3304	31	46	vectors	vector	NOUN
bae-3304	31	47	are	be	AUX
bae-3304	31	48	conformable	conformable	ADJ
bae-3304	31	49	to	to	ADP
bae-3304	31	50	it	it	PRON
bae-3304	31	51	.	.	PUNCT
bae-3304	32	1	in	in	ADP
bae-3304	32	2	particular	particular	ADJ
bae-3304	32	3	,	,	PUNCT
bae-3304	32	4	x	x	X
bae-3304	32	5	>	>	X
bae-3304	32	6	0	0	NUM
bae-3304	32	7	is	be	AUX
bae-3304	32	8	a	a	DET
bae-3304	32	9	vector	vector	NOUN
bae-3304	32	10	of	of	ADP
bae-3304	32	11	realized	realize	VERB
bae-3304	32	12	and	and	CCONJ
bae-3304	32	13	observed	observed	ADJ
bae-3304	32	14	levels	level	NOUN
bae-3304	32	15	of	of	ADP
bae-3304	32	16	outputs	output	NOUN
bae-3304	32	17	whose	whose	DET
bae-3304	32	18	utilization	utilization	NOUN
bae-3304	32	19	qualifies	qualify	VERB
bae-3304	32	20	the	the	DET
bae-3304	32	21	positive	positive	ADJ
bae-3304	32	22	feature	feature	NOUN
bae-3304	32	23	of	of	ADP
bae-3304	32	24	the	the	DET
bae-3304	32	25	pmp	pmp	PROPN
bae-3304	32	26	approach	approach	NOUN
bae-3304	32	27	.	.	PUNCT
bae-3304	33	1	vector	vector	PROPN
bae-3304	33	2	b	b	PROPN
bae-3304	33	3	refers	refer	VERB
bae-3304	33	4	to	to	ADP
bae-3304	33	5	limiting	limit	VERB
bae-3304	33	6	input	input	NOUN
bae-3304	33	7	supplies	supply	NOUN
bae-3304	33	8	.	.	PUNCT
bae-3304	34	1	vectors	vector	NOUN
bae-3304	34	2	p	p	NOUN
bae-3304	34	3	and	and	CCONJ
bae-3304	34	4	c	c	PROPN
bae-3304	34	5	represent	represent	VERB
bae-3304	34	6	market	market	NOUN
bae-3304	34	7	output	output	NOUN
bae-3304	34	8	prices	price	NOUN
bae-3304	34	9	and	and	CCONJ
bae-3304	34	10	unit	unit	NOUN
bae-3304	34	11	accounting	accounting	NOUN
bae-3304	34	12	costs	cost	NOUN
bae-3304	34	13	,	,	PUNCT
bae-3304	34	14	respectively	respectively	ADV
bae-3304	34	15	.	.	PUNCT
bae-3304	35	1	the	the	DET
bae-3304	35	2	parameter	parameter	PROPN
bae-3304	35	3	vector	vector	NOUN
bae-3304	35	4	ε	ε	PROPN
bae-3304	35	5	is	be	AUX
bae-3304	35	6	composed	compose	VERB
bae-3304	35	7	of	of	ADP
bae-3304	35	8	small	small	ADJ
bae-3304	35	9	,	,	PUNCT
bae-3304	35	10	positive	positive	ADJ
bae-3304	35	11	(	(	PUNCT
bae-3304	35	12	user	user	NOUN
bae-3304	35	13	-	-	PUNCT
bae-3304	35	14	determined	determine	VERB
bae-3304	35	15	)	)	PUNCT
bae-3304	35	16	numbers	number	NOUN
bae-3304	35	17	whose	whose	DET
bae-3304	35	18	role	role	NOUN
bae-3304	35	19	is	be	AUX
bae-3304	35	20	to	to	PART
bae-3304	35	21	guarantee	guarantee	VERB
bae-3304	35	22	that	that	SCONJ
bae-3304	35	23	the	the	DET
bae-3304	35	24	dual	dual	ADJ
bae-3304	35	25	variables	variable	NOUN
bae-3304	35	26	of	of	ADP
bae-3304	35	27	the	the	DET
bae-3304	35	28	binding	bind	VERB
bae-3304	35	29	structural	structural	ADJ
bae-3304	35	30	constraints	constraint	NOUN
bae-3304	35	31	achieve	achieve	VERB
bae-3304	35	32	a	a	DET
bae-3304	35	33	positive	positive	ADJ
bae-3304	35	34	value	value	NOUN
bae-3304	35	35	.	.	PUNCT
bae-3304	36	1	in	in	ADP
bae-3304	36	2	howitt	howitt	PROPN
bae-3304	36	3	’s	’s	PART
bae-3304	36	4	words	word	NOUN
bae-3304	36	5	(	(	PUNCT
bae-3304	36	6	1995a	1995a	NUM
bae-3304	36	7	,	,	PUNCT
bae-3304	36	8	p.	p.	NOUN
bae-3304	36	9	151	151	NUM
bae-3304	36	10	):	):	PUNCT
bae-3304	36	11	“	"	PUNCT
bae-3304	36	12	the	the	DET
bae-3304	36	13	ε	ε	PROPN
bae-3304	36	14	perturbation	perturbation	NOUN
bae-3304	36	15	on	on	ADP
bae-3304	36	16	the	the	DET
bae-3304	36	17	calibration	calibration	NOUN
bae-3304	36	18	constraints	constraint	NOUN
bae-3304	36	19	decouples	decouple	VERB
bae-3304	36	20	the	the	DET
bae-3304	36	21	true	true	ADJ
bae-3304	36	22	resource	resource	NOUN
bae-3304	36	23	constraints	constraint	NOUN
bae-3304	36	24	from	from	ADP
bae-3304	36	25	the	the	DET
bae-3304	36	26	calibration	calibration	NOUN
bae-3304	36	27	constraints	constraint	NOUN
bae-3304	36	28	and	and	CCONJ
bae-3304	36	29	ensures	ensure	VERB
bae-3304	36	30	that	that	SCONJ
bae-3304	36	31	the	the	DET
bae-3304	36	32	dual	dual	ADJ
bae-3304	36	33	values	value	NOUN
bae-3304	36	34	on	on	ADP
bae-3304	36	35	the	the	DET
bae-3304	36	36	allocable	allocable	ADJ
bae-3304	36	37	resources	resource	NOUN
bae-3304	36	38	represent	represent	VERB
bae-3304	36	39	the	the	DET
bae-3304	36	40	marginal	marginal	ADJ
bae-3304	36	41	values	value	NOUN
bae-3304	36	42	of	of	ADP
bae-3304	36	43	the	the	DET
bae-3304	36	44	resource	resource	NOUN
bae-3304	36	45	constraints	constraint	NOUN
bae-3304	36	46	.	.	PUNCT
bae-3304	36	47	”	"	PUNCT
bae-3304	37	1	this	this	DET
bae-3304	37	2	statement	statement	NOUN
bae-3304	37	3	implies	imply	VERB
bae-3304	37	4	that	that	SCONJ
bae-3304	37	5	,	,	PUNCT
bae-3304	37	6	without	without	ADP
bae-3304	37	7	the	the	DET
bae-3304	37	8	user	user	NOUN
bae-3304	37	9	-	-	PUNCT
bae-3304	37	10	determined	determine	VERB
bae-3304	37	11	ε	ε	PROPN
bae-3304	37	12	perturbation	perturbation	NOUN
bae-3304	37	13	,	,	PUNCT
bae-3304	37	14	the	the	DET
bae-3304	37	15	solution	solution	NOUN
bae-3304	37	16	might	might	AUX
bae-3304	37	17	result	result	VERB
bae-3304	37	18	in	in	ADP
bae-3304	37	19	the	the	DET
bae-3304	37	20	undesirable	undesirable	ADJ
bae-3304	37	21	occurance	occurance	NOUN
bae-3304	37	22	of	of	ADP
bae-3304	37	23	a	a	DET
bae-3304	37	24	zero	zero	NUM
bae-3304	37	25	dual	dual	ADJ
bae-3304	37	26	variable	variable	NOUN
bae-3304	37	27	for	for	ADP
bae-3304	37	28	a	a	DET
bae-3304	37	29	binding	bind	VERB
bae-3304	37	30	resource	resource	NOUN
bae-3304	37	31	constraint	constraint	NOUN
bae-3304	37	32	.	.	PUNCT
bae-3304	38	1	typically	typically	ADV
bae-3304	38	2	,	,	PUNCT
bae-3304	38	3	the	the	DET
bae-3304	38	4	determination	determination	NOUN
bae-3304	38	5	of	of	ADP
bae-3304	38	6	the	the	DET
bae-3304	38	7	magnitude	magnitude	NOUN
bae-3304	38	8	of	of	ADP
bae-3304	38	9	the	the	DET
bae-3304	38	10	ε	ε	PROPN
bae-3304	38	11	parameters	parameter	NOUN
bae-3304	38	12	requires	require	VERB
bae-3304	38	13	a	a	DET
bae-3304	38	14	trial	trial	NOUN
bae-3304	38	15	and	and	CCONJ
bae-3304	38	16	error	error	NOUN
bae-3304	38	17	approach	approach	NOUN
bae-3304	38	18	that	that	PRON
bae-3304	38	19	is	be	AUX
bae-3304	38	20	performed	perform	VERB
bae-3304	38	21	by	by	ADP
bae-3304	38	22	solving	solve	VERB
bae-3304	38	23	repeatedly	repeatedly	ADV
bae-3304	38	24	the	the	DET
bae-3304	38	25	phase	phase	NOUN
bae-3304	38	26	i	i	PRON
bae-3304	38	27	model	model	VERB
bae-3304	38	28	until	until	SCONJ
bae-3304	38	29	the	the	DET
bae-3304	38	30	user	user	NOUN
bae-3304	38	31	finds	find	VERB
bae-3304	38	32	that	that	SCONJ
bae-3304	38	33	the	the	DET
bae-3304	38	34	shadow	shadow	NOUN
bae-3304	38	35	(	(	PUNCT
bae-3304	38	36	dual	dual	ADJ
bae-3304	38	37	)	)	PUNCT
bae-3304	38	38	prices	price	NOUN
bae-3304	38	39	of	of	ADP
bae-3304	38	40	the	the	DET
bae-3304	38	41	binding	bind	VERB
bae-3304	38	42	resource	resource	NOUN
bae-3304	38	43	constraints	constraint	NOUN
bae-3304	38	44	achieve	achieve	VERB
bae-3304	38	45	positive	positive	ADJ
bae-3304	38	46	values	value	NOUN
bae-3304	38	47	.	.	PUNCT
bae-3304	39	1	with	with	ADP
bae-3304	39	2	these	these	DET
bae-3304	39	3	stipulations	stipulation	NOUN
bae-3304	39	4	,	,	PUNCT
bae-3304	39	5	the	the	DET
bae-3304	39	6	dual	dual	ADJ
bae-3304	39	7	of	of	ADP
bae-3304	39	8	model	model	NOUN
bae-3304	39	9	(	(	PUNCT
bae-3304	39	10	1)-(3	1)-(3	NOUN
bae-3304	39	11	)	)	PUNCT
bae-3304	39	12	is	be	AUX
bae-3304	39	13	stated	state	VERB
bae-3304	39	14	as	as	ADP
bae-3304	39	15	dual	dual	ADJ
bae-3304	39	16	mintc	mintc	NOUN
bae-3304	40	1	=	=	NOUN
bae-3304	40	2	b'y+	b'y+	NOUN
bae-3304	40	3	ʹλ	ʹλ	ADP
bae-3304	40	4	[	[	X
bae-3304	40	5	x	x	X
bae-3304	40	6	+	+	NOUN
bae-3304	40	7	ε	ε	X
bae-3304	40	8	]	]	X
bae-3304	40	9	(	(	PUNCT
bae-3304	40	10	4	4	X
bae-3304	40	11	)	)	PUNCT
bae-3304	40	12	subject	subject	NOUN
bae-3304	40	13	to	to	ADP
bae-3304	40	14	ʹa	ʹa	VERB
bae-3304	40	15	y+λ	y+λ	NUM
bae-3304	41	1	+	+	PROPN
bae-3304	41	2	c	c	PROPN
bae-3304	41	3	≥	≥	PRON
bae-3304	41	4	p	p	X
bae-3304	41	5	(	(	PUNCT
bae-3304	41	6	5	5	NUM
bae-3304	41	7	)	)	PUNCT
bae-3304	41	8	21cost	21cost	NUM
bae-3304	41	9	function	function	NOUN
bae-3304	41	10	and	and	CCONJ
bae-3304	41	11	positive	positive	ADJ
bae-3304	41	12	mathematical	mathematical	ADJ
bae-3304	41	13	programming	programming	NOUN
bae-3304	41	14	with	with	ADP
bae-3304	41	15	y	y	PROPN
bae-3304	41	16	≥	≥	PROPN
bae-3304	41	17	0	0	NUM
bae-3304	41	18	,	,	PUNCT
bae-3304	41	19	λ	λ	X
bae-3304	41	20	≥	≥	NOUN
bae-3304	41	21	0	0	NUM
bae-3304	41	22	where	where	SCONJ
bae-3304	41	23	y	y	PROPN
bae-3304	41	24	represents	represent	VERB
bae-3304	41	25	the	the	DET
bae-3304	41	26	(	(	PUNCT
bae-3304	41	27	i×1	i×1	PROPN
bae-3304	41	28	)	)	PUNCT
bae-3304	41	29	vector	vector	NOUN
bae-3304	41	30	of	of	ADP
bae-3304	41	31	shadow	shadow	NOUN
bae-3304	41	32	prices	price	NOUN
bae-3304	41	33	of	of	ADP
bae-3304	41	34	the	the	DET
bae-3304	41	35	structural	structural	ADJ
bae-3304	41	36	constraints	constraint	NOUN
bae-3304	41	37	and	and	CCONJ
bae-3304	41	38	the	the	DET
bae-3304	41	39	(	(	PUNCT
bae-3304	41	40	j×1	j×1	PROPN
bae-3304	41	41	)	)	PUNCT
bae-3304	41	42	vector	vector	NOUN
bae-3304	41	43	λ	λ	NOUN
bae-3304	41	44	represents	represent	VERB
bae-3304	41	45	the	the	DET
bae-3304	41	46	shadow	shadow	NOUN
bae-3304	41	47	prices	price	NOUN
bae-3304	41	48	of	of	ADP
bae-3304	41	49	the	the	DET
bae-3304	41	50	calibration	calibration	NOUN
bae-3304	41	51	constraints	constraint	NOUN
bae-3304	41	52	.	.	PUNCT
bae-3304	42	1	in	in	ADP
bae-3304	42	2	the	the	DET
bae-3304	42	3	dual	dual	ADJ
bae-3304	42	4	constraints	constraint	NOUN
bae-3304	42	5	(	(	PUNCT
bae-3304	42	6	5	5	NUM
bae-3304	42	7	)	)	PUNCT
bae-3304	42	8	there	there	PRON
bae-3304	42	9	are	be	VERB
bae-3304	42	10	j	j	PROPN
bae-3304	42	11	constraints	constraint	NOUN
bae-3304	42	12	and	and	CCONJ
bae-3304	42	13	(	(	PUNCT
bae-3304	42	14	i×j	i×j	ADJ
bae-3304	42	15	)	)	PUNCT
bae-3304	42	16	variables	variable	NOUN
bae-3304	42	17	.	.	PUNCT
bae-3304	43	1	at	at	ADP
bae-3304	43	2	the	the	DET
bae-3304	43	3	optimal	optimal	ADJ
bae-3304	43	4	primal	primal	ADJ
bae-3304	43	5	solution	solution	NOUN
bae-3304	43	6	x	x	NOUN
bae-3304	43	7	*	*	PUNCT
bae-3304	43	8	relation	relation	NOUN
bae-3304	43	9	(	(	PUNCT
bae-3304	43	10	5	5	NUM
bae-3304	43	11	)	)	PUNCT
bae-3304	43	12	is	be	AUX
bae-3304	43	13	satisfied	satisfied	ADJ
bae-3304	43	14	with	with	ADP
bae-3304	43	15	the	the	DET
bae-3304	43	16	equality	equality	NOUN
bae-3304	43	17	sign	sign	NOUN
bae-3304	43	18	by	by	ADP
bae-3304	43	19	complementary	complementary	ADJ
bae-3304	43	20	slackness	slackness	NOUN
bae-3304	43	21	conditions	condition	NOUN
bae-3304	43	22	given	give	VERB
bae-3304	43	23	that	that	PRON
bae-3304	43	24	x	x	NOUN
bae-3304	43	25	*	*	PUNCT
bae-3304	43	26	=	=	PUNCT
bae-3304	43	27	x	x	SYM
bae-3304	44	1	+	+	NUM
bae-3304	44	2	ε	ε	PROPN
bae-3304	44	3	>	>	X
bae-3304	44	4	0	0	NUM
bae-3304	44	5	.	.	PUNCT
bae-3304	45	1	hence	hence	ADV
bae-3304	45	2	,	,	PUNCT
bae-3304	45	3	the	the	DET
bae-3304	45	4	traditional	traditional	ADJ
bae-3304	45	5	specification	specification	NOUN
bae-3304	45	6	of	of	ADP
bae-3304	45	7	the	the	DET
bae-3304	45	8	pmp	pmp	PROPN
bae-3304	45	9	model	model	NOUN
bae-3304	45	10	is	be	AUX
bae-3304	45	11	underdetermined	underdetermined	ADJ
bae-3304	45	12	(	(	PUNCT
bae-3304	45	13	ill	ill	ADV
bae-3304	45	14	posed	pose	VERB
bae-3304	45	15	)	)	PUNCT
bae-3304	45	16	.	.	PUNCT
bae-3304	46	1	it	it	PRON
bae-3304	46	2	admits	admit	VERB
bae-3304	46	3	an	an	DET
bae-3304	46	4	infinite	infinite	ADJ
bae-3304	46	5	number	number	NOUN
bae-3304	46	6	of	of	ADP
bae-3304	46	7	(	(	PUNCT
bae-3304	46	8	y*,λ	y*,λ	NOUN
bae-3304	46	9	*	*	NOUN
bae-3304	46	10	)	)	PUNCT
bae-3304	46	11	solutions	solution	NOUN
bae-3304	46	12	because	because	SCONJ
bae-3304	46	13	there	there	PRON
bae-3304	46	14	are	be	VERB
bae-3304	46	15	more	more	ADV
bae-3304	46	16	unknown	unknown	ADJ
bae-3304	46	17	variables	variable	NOUN
bae-3304	46	18	than	than	ADP
bae-3304	46	19	equations	equation	NOUN
bae-3304	46	20	.	.	PUNCT
bae-3304	47	1	this	this	PRON
bae-3304	47	2	is	be	AUX
bae-3304	47	3	the	the	DET
bae-3304	47	4	reason	reason	NOUN
bae-3304	47	5	why	why	SCONJ
bae-3304	47	6	the	the	DET
bae-3304	47	7	parameter	parameter	NOUN
bae-3304	47	8	ε	ε	PROPN
bae-3304	47	9	was	be	AUX
bae-3304	47	10	introduced	introduce	VERB
bae-3304	47	11	in	in	ADP
bae-3304	47	12	model	model	NOUN
bae-3304	47	13	(	(	PUNCT
bae-3304	47	14	1)-(3	1)-(3	NUM
bae-3304	47	15	)	)	PUNCT
bae-3304	47	16	in	in	ADP
bae-3304	47	17	order	order	NOUN
bae-3304	47	18	to	to	PART
bae-3304	47	19	elicit	elicit	VERB
bae-3304	47	20	a	a	DET
bae-3304	47	21	dual	dual	ADJ
bae-3304	47	22	solution	solution	NOUN
bae-3304	47	23	with	with	ADP
bae-3304	47	24	positive	positive	ADJ
bae-3304	47	25	values	value	NOUN
bae-3304	47	26	of	of	ADP
bae-3304	47	27	the	the	DET
bae-3304	47	28	shadow	shadow	NOUN
bae-3304	47	29	price	price	NOUN
bae-3304	47	30	y	y	PROPN
bae-3304	47	31	of	of	ADP
bae-3304	47	32	the	the	DET
bae-3304	47	33	binding	binding	ADJ
bae-3304	47	34	structural	structural	ADJ
bae-3304	47	35	constraints	constraint	NOUN
bae-3304	47	36	.	.	PUNCT
bae-3304	48	1	this	this	PRON
bae-3304	48	2	means	mean	VERB
bae-3304	48	3	that	that	SCONJ
bae-3304	48	4	i	i	PRON
bae-3304	48	5	components	component	NOUN
bae-3304	48	6	of	of	ADP
bae-3304	48	7	the	the	DET
bae-3304	48	8	vector	vector	NOUN
bae-3304	49	1	λ	λ	PROPN
bae-3304	49	2	assume	assume	VERB
bae-3304	49	3	a	a	DET
bae-3304	49	4	zero	zero	NUM
bae-3304	49	5	value	value	NOUN
bae-3304	49	6	.	.	PUNCT
bae-3304	50	1	another	another	DET
bae-3304	50	2	criticism	criticism	NOUN
bae-3304	50	3	of	of	ADP
bae-3304	50	4	the	the	DET
bae-3304	50	5	original	original	ADJ
bae-3304	50	6	pmp	pmp	PROPN
bae-3304	50	7	approach	approach	NOUN
bae-3304	50	8	regards	regard	VERB
bae-3304	50	9	the	the	DET
bae-3304	50	10	specification	specification	NOUN
bae-3304	50	11	of	of	ADP
bae-3304	50	12	the	the	DET
bae-3304	50	13	calibration	calibration	NOUN
bae-3304	50	14	constraints	constraint	NOUN
bae-3304	50	15	.	.	PUNCT
bae-3304	51	1	why	why	SCONJ
bae-3304	51	2	is	be	AUX
bae-3304	51	3	the	the	DET
bae-3304	51	4	solution	solution	NOUN
bae-3304	51	5	vector	vector	NOUN
bae-3304	51	6	x	x	X
bae-3304	51	7	of	of	ADP
bae-3304	51	8	model	model	NOUN
bae-3304	51	9	(	(	PUNCT
bae-3304	51	10	1)-(3	1)-(3	NOUN
bae-3304	51	11	)	)	PUNCT
bae-3304	51	12	stated	state	VERB
bae-3304	51	13	as	as	ADP
bae-3304	51	14	less	less	ADJ
bae-3304	51	15	-	-	PUNCT
bae-3304	51	16	than	than	ADP
bae-3304	51	17	-	-	PUNCT
bae-3304	51	18	orequal	orequal	ADJ
bae-3304	51	19	to	to	ADP
bae-3304	51	20	the	the	DET
bae-3304	51	21	observed	observed	ADJ
bae-3304	51	22	vector	vector	NOUN
bae-3304	51	23	of	of	ADP
bae-3304	51	24	output	output	NOUN
bae-3304	51	25	levels	level	NOUN
bae-3304	51	26	(	(	PUNCT
bae-3304	51	27	x	x	SYM
bae-3304	51	28	≤	≤	NUM
bae-3304	51	29	x	x	X
bae-3304	52	1	+	+	PUNCT
bae-3304	52	2	ε	ε	PROPN
bae-3304	52	3	)	)	PUNCT
bae-3304	52	4	in	in	ADP
bae-3304	52	5	the	the	DET
bae-3304	52	6	calibration	calibration	NOUN
bae-3304	52	7	constraints	constraint	NOUN
bae-3304	52	8	(	(	PUNCT
bae-3304	52	9	3	3	NUM
bae-3304	52	10	)	)	PUNCT
bae-3304	52	11	?	?	PUNCT
bae-3304	53	1	the	the	DET
bae-3304	53	2	answer	answer	NOUN
bae-3304	53	3	was	be	AUX
bae-3304	53	4	(	(	PUNCT
bae-3304	53	5	is	be	AUX
bae-3304	53	6	):	):	PUNCT
bae-3304	53	7	to	to	PART
bae-3304	53	8	guarantee	guarantee	VERB
bae-3304	53	9	a	a	DET
bae-3304	53	10	nonnegative	nonnegative	ADJ
bae-3304	53	11	dual	dual	ADJ
bae-3304	53	12	vector	vector	NOUN
bae-3304	53	13	of	of	ADP
bae-3304	53	14	shadow	shadow	NOUN
bae-3304	53	15	prices	price	NOUN
bae-3304	53	16	λ	λ	PROPN
bae-3304	53	17	≥	≥	X
bae-3304	53	18	0	0	NUM
bae-3304	53	19	interpreted	interpret	VERB
bae-3304	53	20	as	as	ADP
bae-3304	53	21	variable	variable	ADJ
bae-3304	53	22	marginal	marginal	ADJ
bae-3304	53	23	cost	cost	NOUN
bae-3304	53	24	levels	level	NOUN
bae-3304	53	25	of	of	ADP
bae-3304	53	26	x	x	X
bae-3304	53	27	.	.	PUNCT
bae-3304	54	1	admittedly	admittedly	ADV
bae-3304	54	2	,	,	PUNCT
bae-3304	54	3	this	this	PRON
bae-3304	54	4	is	be	AUX
bae-3304	54	5	an	an	DET
bae-3304	54	6	unsatisfactory	unsatisfactory	ADJ
bae-3304	54	7	answer	answer	NOUN
bae-3304	54	8	.	.	PUNCT
bae-3304	55	1	given	give	VERB
bae-3304	55	2	that	that	DET
bae-3304	55	3	vector	vector	NOUN
bae-3304	55	4	x	x	PUNCT
bae-3304	55	5	represents	represents	AUX
bae-3304	55	6	observed	observe	VERB
bae-3304	55	7	(	(	PUNCT
bae-3304	55	8	by	by	ADP
bae-3304	55	9	the	the	DET
bae-3304	55	10	econometrician	econometrician	ADJ
bae-3304	55	11	)	)	PUNCT
bae-3304	55	12	output	output	NOUN
bae-3304	55	13	levels	level	NOUN
bae-3304	55	14	that	that	PRON
bae-3304	55	15	were	be	AUX
bae-3304	55	16	realized	realize	VERB
bae-3304	55	17	by	by	ADP
bae-3304	55	18	the	the	DET
bae-3304	55	19	producer	producer	NOUN
bae-3304	55	20	in	in	ADP
bae-3304	55	21	a	a	DET
bae-3304	55	22	previous	previous	ADJ
bae-3304	55	23	economic	economic	ADJ
bae-3304	55	24	cycle	cycle	NOUN
bae-3304	55	25	,	,	PUNCT
bae-3304	55	26	the	the	DET
bae-3304	55	27	observed	observe	VERB
bae-3304	55	28	vector	vector	NOUN
bae-3304	55	29	x	x	X
bae-3304	55	30	may	may	AUX
bae-3304	55	31	contain	contain	VERB
bae-3304	55	32	some	some	DET
bae-3304	55	33	deviations	deviation	NOUN
bae-3304	55	34	that	that	SCONJ
bae-3304	55	35	either	either	CCONJ
bae-3304	55	36	overstate	overstate	VERB
bae-3304	55	37	or	or	CCONJ
bae-3304	55	38	understate	understate	VERB
bae-3304	55	39	the	the	DET
bae-3304	55	40	levels	level	NOUN
bae-3304	55	41	of	of	ADP
bae-3304	55	42	economically	economically	ADV
bae-3304	55	43	efficient	efficient	ADJ
bae-3304	55	44	production	production	NOUN
bae-3304	55	45	for	for	ADP
bae-3304	55	46	a	a	DET
bae-3304	55	47	given	give	VERB
bae-3304	55	48	farmer	farmer	NOUN
bae-3304	55	49	.	.	PUNCT
bae-3304	56	1	a	a	DET
bae-3304	56	2	more	more	ADV
bae-3304	56	3	plausible	plausible	ADJ
bae-3304	56	4	specification	specification	NOUN
bae-3304	56	5	of	of	ADP
bae-3304	56	6	the	the	DET
bae-3304	56	7	calibration	calibration	NOUN
bae-3304	56	8	constraints	constraint	NOUN
bae-3304	56	9	,	,	PUNCT
bae-3304	56	10	therefore	therefore	ADV
bae-3304	56	11	,	,	PUNCT
bae-3304	56	12	could	could	AUX
bae-3304	56	13	be	be	AUX
bae-3304	56	14	x	x	X
bae-3304	56	15	=	=	PUNCT
bae-3304	56	16	x	x	PUNCT
bae-3304	57	1	+	+	NUM
bae-3304	57	2	h	h	NOUN
bae-3304	57	3	where	where	SCONJ
bae-3304	57	4	h	h	NOUN
bae-3304	57	5	is	be	AUX
bae-3304	57	6	a	a	DET
bae-3304	57	7	conformable	conformable	ADJ
bae-3304	57	8	vector	vector	NOUN
bae-3304	57	9	of	of	ADP
bae-3304	57	10	unrestricted	unrestricted	ADJ
bae-3304	57	11	deviations	deviation	NOUN
bae-3304	57	12	from	from	ADP
bae-3304	57	13	x	x	X
bae-3304	57	14	.	.	PUNCT
bae-3304	58	1	furthermore	furthermore	ADV
bae-3304	58	2	,	,	PUNCT
bae-3304	58	3	a	a	DET
bae-3304	58	4	measure	measure	NOUN
bae-3304	58	5	of	of	ADP
bae-3304	58	6	the	the	DET
bae-3304	58	7	limiting	limit	VERB
bae-3304	58	8	input	input	NOUN
bae-3304	58	9	price	price	NOUN
bae-3304	58	10	vector	vector	NOUN
bae-3304	58	11	y	y	PROPN
bae-3304	58	12	may	may	AUX
bae-3304	58	13	be	be	AUX
bae-3304	58	14	available	available	ADJ
bae-3304	58	15	at	at	ADP
bae-3304	58	16	either	either	CCONJ
bae-3304	58	17	a	a	DET
bae-3304	58	18	regional	regional	ADJ
bae-3304	58	19	or	or	CCONJ
bae-3304	58	20	more	more	ADV
bae-3304	58	21	local	local	ADJ
bae-3304	58	22	level	level	NOUN
bae-3304	58	23	.	.	PUNCT
bae-3304	59	1	for	for	ADP
bae-3304	59	2	example	example	NOUN
bae-3304	59	3	,	,	PUNCT
bae-3304	59	4	the	the	DET
bae-3304	59	5	price	price	NOUN
bae-3304	59	6	of	of	ADP
bae-3304	59	7	agricultural	agricultural	ADJ
bae-3304	59	8	land	land	NOUN
bae-3304	59	9	is	be	AUX
bae-3304	59	10	surely	surely	ADV
bae-3304	59	11	available	available	ADJ
bae-3304	59	12	,	,	PUNCT
bae-3304	59	13	either	either	CCONJ
bae-3304	59	14	by	by	ADP
bae-3304	59	15	region	region	NOUN
bae-3304	59	16	or	or	CCONJ
bae-3304	59	17	by	by	ADP
bae-3304	59	18	area	area	NOUN
bae-3304	59	19	.	.	PUNCT
bae-3304	60	1	the	the	DET
bae-3304	60	2	regional	regional	ADJ
bae-3304	60	3	estimate	estimate	NOUN
bae-3304	60	4	may	may	AUX
bae-3304	60	5	not	not	PART
bae-3304	60	6	be	be	AUX
bae-3304	60	7	fitting	fit	VERB
bae-3304	60	8	every	every	DET
bae-3304	60	9	single	single	ADJ
bae-3304	60	10	farm	farm	NOUN
bae-3304	60	11	but	but	CCONJ
bae-3304	60	12	it	it	PRON
bae-3304	60	13	can	can	AUX
bae-3304	60	14	be	be	AUX
bae-3304	60	15	assumed	assume	VERB
bae-3304	60	16	that	that	SCONJ
bae-3304	60	17	it	it	PRON
bae-3304	60	18	will	will	AUX
bae-3304	60	19	fall	fall	VERB
bae-3304	60	20	within	within	ADP
bae-3304	60	21	a	a	DET
bae-3304	60	22	reasonable	reasonable	ADJ
bae-3304	60	23	range	range	NOUN
bae-3304	60	24	of	of	ADP
bae-3304	60	25	the	the	DET
bae-3304	60	26	actual	actual	ADJ
bae-3304	60	27	optimal	optimal	ADJ
bae-3304	60	28	land	land	NOUN
bae-3304	60	29	value	value	NOUN
bae-3304	60	30	of	of	ADP
bae-3304	60	31	each	each	DET
bae-3304	60	32	farm	farm	NOUN
bae-3304	60	33	as	as	SCONJ
bae-3304	60	34	obtained	obtain	VERB
bae-3304	60	35	by	by	ADP
bae-3304	60	36	solving	solve	VERB
bae-3304	60	37	model	model	NOUN
bae-3304	60	38	(	(	PUNCT
bae-3304	60	39	1)-(3	1)-(3	NUM
bae-3304	60	40	)	)	PUNCT
bae-3304	60	41	.	.	PUNCT
bae-3304	61	1	if	if	SCONJ
bae-3304	61	2	the	the	DET
bae-3304	61	3	information	information	NOUN
bae-3304	61	4	on	on	ADP
bae-3304	61	5	land	land	NOUN
bae-3304	61	6	price	price	NOUN
bae-3304	61	7	and	and	CCONJ
bae-3304	61	8	other	other	ADJ
bae-3304	61	9	important	important	ADJ
bae-3304	61	10	limiting	limit	VERB
bae-3304	61	11	inputs	input	NOUN
bae-3304	61	12	is	be	AUX
bae-3304	61	13	available	available	ADJ
bae-3304	61	14	,	,	PUNCT
bae-3304	61	15	it	it	PRON
bae-3304	61	16	should	should	AUX
bae-3304	61	17	be	be	AUX
bae-3304	61	18	used	use	VERB
bae-3304	61	19	in	in	ADP
bae-3304	61	20	a	a	DET
bae-3304	61	21	pmp	pmp	NOUN
bae-3304	61	22	approach	approach	NOUN
bae-3304	61	23	in	in	ADP
bae-3304	61	24	order	order	NOUN
bae-3304	61	25	to	to	PART
bae-3304	61	26	avoid	avoid	VERB
bae-3304	61	27	violating	violate	VERB
bae-3304	61	28	the	the	DET
bae-3304	61	29	principal	principal	ADJ
bae-3304	61	30	tenet	tenet	NOUN
bae-3304	61	31	of	of	ADP
bae-3304	61	32	the	the	DET
bae-3304	61	33	methodology	methodology	NOUN
bae-3304	61	34	:	:	PUNCT
bae-3304	61	35	all	all	DET
bae-3304	61	36	the	the	DET
bae-3304	61	37	available	available	ADJ
bae-3304	61	38	information	information	NOUN
bae-3304	61	39	should	should	AUX
bae-3304	61	40	be	be	AUX
bae-3304	61	41	used	use	VERB
bae-3304	61	42	.	.	PUNCT
bae-3304	62	1	also	also	ADV
bae-3304	62	2	in	in	ADP
bae-3304	62	3	this	this	DET
bae-3304	62	4	case	case	NOUN
bae-3304	62	5	,	,	PUNCT
bae-3304	62	6	therefore	therefore	ADV
bae-3304	62	7	,	,	PUNCT
bae-3304	62	8	it	it	PRON
bae-3304	62	9	seems	seem	VERB
bae-3304	62	10	plausible	plausible	ADJ
bae-3304	62	11	to	to	PART
bae-3304	62	12	state	state	VERB
bae-3304	62	13	a	a	DET
bae-3304	62	14	calibration	calibration	NOUN
bae-3304	62	15	constraint	constraint	NOUN
bae-3304	62	16	for	for	ADP
bae-3304	62	17	the	the	DET
bae-3304	62	18	dual	dual	ADJ
bae-3304	62	19	variable	variable	ADJ
bae-3304	62	20	vector	vector	NOUN
bae-3304	62	21	as	as	ADP
bae-3304	62	22	y	y	PROPN
bae-3304	62	23	=	=	SYM
bae-3304	62	24	y	y	PROPN
bae-3304	63	1	+	+	NUM
bae-3304	63	2	u	u	NOUN
bae-3304	63	3	where	where	SCONJ
bae-3304	63	4	u	u	NOUN
bae-3304	63	5	is	be	AUX
bae-3304	63	6	a	a	DET
bae-3304	63	7	conformable	conformable	ADJ
bae-3304	63	8	vector	vector	NOUN
bae-3304	63	9	of	of	ADP
bae-3304	63	10	unrestricted	unrestricted	ADJ
bae-3304	63	11	deviations	deviation	NOUN
bae-3304	63	12	from	from	ADP
bae-3304	63	13	y	y	PROPN
bae-3304	63	14	.	.	PUNCT
bae-3304	64	1	within	within	ADP
bae-3304	64	2	this	this	DET
bae-3304	64	3	alternative	alternative	ADJ
bae-3304	64	4	pmp	pmp	NOUN
bae-3304	64	5	framework	framework	NOUN
bae-3304	64	6	,	,	PUNCT
bae-3304	64	7	the	the	DET
bae-3304	64	8	notion	notion	NOUN
bae-3304	64	9	of	of	ADP
bae-3304	64	10	a	a	DET
bae-3304	64	11	calibrating	calibrate	VERB
bae-3304	64	12	solution	solution	NOUN
bae-3304	64	13	assumes	assume	VERB
bae-3304	64	14	a	a	DET
bae-3304	64	15	different	different	ADJ
bae-3304	64	16	structure	structure	NOUN
bae-3304	64	17	from	from	ADP
bae-3304	64	18	the	the	DET
bae-3304	64	19	original	original	ADJ
bae-3304	64	20	formulation	formulation	NOUN
bae-3304	64	21	of	of	ADP
bae-3304	64	22	model	model	NOUN
bae-3304	64	23	(	(	PUNCT
bae-3304	64	24	1)-(3	1)-(3	NUM
bae-3304	64	25	)	)	PUNCT
bae-3304	64	26	.	.	PUNCT
bae-3304	65	1	in	in	ADP
bae-3304	65	2	that	that	DET
bae-3304	65	3	model	model	NOUN
bae-3304	65	4	,	,	PUNCT
bae-3304	65	5	a	a	DET
bae-3304	65	6	calibrating	calibrate	VERB
bae-3304	65	7	solution	solution	NOUN
bae-3304	65	8	achieves	achieve	VERB
bae-3304	65	9	the	the	DET
bae-3304	65	10	obvious	obvious	ADJ
bae-3304	65	11	values	value	NOUN
bae-3304	65	12	of	of	ADP
bae-3304	65	13	x	x	X
bae-3304	65	14	*	*	PUNCT
bae-3304	65	15	=	=	PUNCT
bae-3304	65	16	x	x	SYM
bae-3304	66	1	+	+	NUM
bae-3304	66	2	ε	ε	PROPN
bae-3304	66	3	.	.	PUNCT
bae-3304	67	1	many	many	ADJ
bae-3304	67	2	critics	critic	NOUN
bae-3304	67	3	of	of	ADP
bae-3304	67	4	pmp	pmp	PROPN
bae-3304	67	5	have	have	AUX
bae-3304	67	6	objected	object	VERB
bae-3304	67	7	that	that	SCONJ
bae-3304	67	8	this	this	DET
bae-3304	67	9	equation	equation	NOUN
bae-3304	67	10	represents	represent	VERB
bae-3304	67	11	a	a	DET
bae-3304	67	12	tautology	tautology	NOUN
bae-3304	67	13	.	.	PUNCT
bae-3304	68	1	in	in	ADP
bae-3304	68	2	fact	fact	NOUN
bae-3304	68	3	,	,	PUNCT
bae-3304	68	4	the	the	DET
bae-3304	68	5	equality	equality	NOUN
bae-3304	68	6	between	between	ADP
bae-3304	68	7	the	the	DET
bae-3304	68	8	optimal	optimal	ADJ
bae-3304	68	9	solution	solution	NOUN
bae-3304	68	10	of	of	ADP
bae-3304	68	11	model	model	NOUN
bae-3304	68	12	(	(	PUNCT
bae-3304	68	13	1)-(3	1)-(3	NUM
bae-3304	68	14	)	)	PUNCT
bae-3304	68	15	and	and	CCONJ
bae-3304	68	16	the	the	DET
bae-3304	68	17	vector	vector	NOUN
bae-3304	68	18	of	of	ADP
bae-3304	68	19	observed	observed	ADJ
bae-3304	68	20	output	output	NOUN
bae-3304	68	21	levels	level	NOUN
bae-3304	68	22	(	(	PUNCT
bae-3304	68	23	adjusted	adjust	VERB
bae-3304	68	24	by	by	ADP
bae-3304	68	25	the	the	DET
bae-3304	68	26	ε	ε	PROPN
bae-3304	68	27	parameter	parameter	NOUN
bae-3304	68	28	)	)	PUNCT
bae-3304	68	29	is	be	AUX
bae-3304	68	30	achieved	achieve	VERB
bae-3304	68	31	because	because	SCONJ
bae-3304	68	32	the	the	DET
bae-3304	68	33	–	–	PUNCT
bae-3304	68	34	presumably	presumably	ADV
bae-3304	68	35	–	–	PUNCT
bae-3304	68	36	available	available	ADJ
bae-3304	68	37	information	information	NOUN
bae-3304	68	38	on	on	ADP
bae-3304	68	39	the	the	DET
bae-3304	68	40	limiting	limit	VERB
bae-3304	68	41	input	input	NOUN
bae-3304	68	42	prices	price	NOUN
bae-3304	68	43	is	be	AUX
bae-3304	68	44	ignored	ignore	VERB
bae-3304	68	45	.	.	PUNCT
bae-3304	69	1	with	with	ADP
bae-3304	69	2	the	the	DET
bae-3304	69	3	more	more	ADV
bae-3304	69	4	general	general	ADJ
bae-3304	69	5	specification	specification	NOUN
bae-3304	69	6	of	of	ADP
bae-3304	69	7	the	the	DET
bae-3304	69	8	calibration	calibration	NOUN
bae-3304	69	9	constraints	constraint	NOUN
bae-3304	69	10	in	in	ADP
bae-3304	69	11	the	the	DET
bae-3304	69	12	form	form	NOUN
bae-3304	69	13	of	of	ADP
bae-3304	69	14	x	x	X
bae-3304	69	15	=	=	PUNCT
bae-3304	69	16	x	x	SYM
bae-3304	69	17	+	+	NUM
bae-3304	69	18	h	h	NOUN
bae-3304	69	19	and	and	CCONJ
bae-3304	69	20	y	y	PROPN
bae-3304	69	21	=	=	SYM
bae-3304	69	22	y	y	PROPN
bae-3304	69	23	+	+	NUM
bae-3304	69	24	u	u	PROPN
bae-3304	69	25	,	,	PUNCT
bae-3304	69	26	a	a	DET
bae-3304	69	27	calibrating	calibrate	VERB
bae-3304	69	28	solution	solution	NOUN
bae-3304	69	29	(	(	PUNCT
bae-3304	69	30	x*,y	x*,y	NOUN
bae-3304	69	31	*	*	PUNCT
bae-3304	69	32	)	)	PUNCT
bae-3304	69	33	will	will	AUX
bae-3304	69	34	not	not	PART
bae-3304	69	35	,	,	PUNCT
bae-3304	69	36	in	in	ADP
bae-3304	69	37	general	general	ADJ
bae-3304	69	38	,	,	PUNCT
bae-3304	69	39	be	be	AUX
bae-3304	69	40	tautologically	tautologically	ADV
bae-3304	69	41	equal	equal	ADJ
bae-3304	69	42	to	to	ADP
bae-3304	69	43	(	(	PUNCT
bae-3304	69	44	x	x	INTJ
bae-3304	69	45	,	,	PUNCT
bae-3304	69	46	y	y	PROPN
bae-3304	69	47	)	)	PUNCT
bae-3304	69	48	.	.	PUNCT
bae-3304	70	1	but	but	CCONJ
bae-3304	70	2	it	it	PRON
bae-3304	70	3	can	can	AUX
bae-3304	70	4	be	be	AUX
bae-3304	70	5	arranged	arrange	VERB
bae-3304	70	6	to	to	PART
bae-3304	70	7	make	make	VERB
bae-3304	70	8	the	the	DET
bae-3304	70	9	solution	solution	NOUN
bae-3304	70	10	(	(	PUNCT
bae-3304	70	11	x*,y	x*,y	NOUN
bae-3304	70	12	*	*	PUNCT
bae-3304	70	13	)	)	PUNCT
bae-3304	70	14	as	as	ADV
bae-3304	70	15	close	close	ADJ
bae-3304	70	16	as	as	ADP
bae-3304	70	17	possible	possible	ADJ
bae-3304	70	18	to	to	ADP
bae-3304	70	19	the	the	DET
bae-3304	70	20	observed	observe	VERB
bae-3304	70	21	quantities	quantity	NOUN
bae-3304	70	22	and	and	CCONJ
bae-3304	70	23	prices	price	NOUN
bae-3304	70	24	by	by	ADP
bae-3304	70	25	using	use	VERB
bae-3304	70	26	,	,	PUNCT
bae-3304	70	27	for	for	ADP
bae-3304	70	28	example	example	NOUN
bae-3304	70	29	,	,	PUNCT
bae-3304	70	30	a	a	DET
bae-3304	70	31	least	least	ADJ
bae-3304	70	32	-	-	PUNCT
bae-3304	70	33	squares	square	NOUN
bae-3304	70	34	minimization	minimization	NOUN
bae-3304	70	35	goal	goal	NOUN
bae-3304	70	36	.	.	PUNCT
bae-3304	71	1	this	this	DET
bae-3304	71	2	approach	approach	NOUN
bae-3304	71	3	,	,	PUNCT
bae-3304	71	4	then	then	ADV
bae-3304	71	5	,	,	PUNCT
bae-3304	71	6	resembles	resemble	VERB
bae-3304	71	7	an	an	DET
bae-3304	71	8	econometric	econometric	ADJ
bae-3304	71	9	estimation	estimation	NOUN
bae-3304	71	10	where	where	SCONJ
bae-3304	71	11	the	the	DET
bae-3304	71	12	goal	goal	NOUN
bae-3304	71	13	is	be	AUX
bae-3304	71	14	to	to	PART
bae-3304	71	15	minimize	minimize	VERB
bae-3304	71	16	the	the	DET
bae-3304	71	17	residuals	residual	NOUN
bae-3304	71	18	of	of	ADP
bae-3304	71	19	a	a	DET
bae-3304	71	20	system	system	NOUN
bae-3304	71	21	of	of	ADP
bae-3304	71	22	regressions	regression	NOUN
bae-3304	71	23	.	.	PUNCT
bae-3304	72	1	the	the	DET
bae-3304	72	2	objective	objective	NOUN
bae-3304	72	3	of	of	ADP
bae-3304	72	4	this	this	DET
bae-3304	72	5	alternative	alternative	ADJ
bae-3304	72	6	pmp	pmp	PROPN
bae-3304	72	7	methodology	methodology	NOUN
bae-3304	72	8	,	,	PUNCT
bae-3304	72	9	therefore	therefore	ADV
bae-3304	72	10	,	,	PUNCT
bae-3304	72	11	is	be	AUX
bae-3304	72	12	to	to	PART
bae-3304	72	13	make	make	VERB
bae-3304	72	14	deviations	deviation	NOUN
bae-3304	72	15	(	(	PUNCT
bae-3304	72	16	h	h	NOUN
bae-3304	72	17	,	,	PUNCT
bae-3304	72	18	u	u	NOUN
bae-3304	72	19	)	)	PUNCT
bae-3304	72	20	as	as	ADV
bae-3304	72	21	small	small	ADJ
bae-3304	72	22	as	as	ADP
bae-3304	72	23	possible	possible	ADJ
bae-3304	72	24	.	.	PUNCT
bae-3304	73	1	22	22	NUM
bae-3304	73	2	q.	q.	PROPN
bae-3304	73	3	paris	paris	PROPN
bae-3304	73	4	2	2	NUM
bae-3304	73	5	.	.	PUNCT
bae-3304	74	1	the	the	DET
bae-3304	74	2	use	use	NOUN
bae-3304	74	3	of	of	ADP
bae-3304	74	4	x	x	X
bae-3304	74	5	and	and	CCONJ
bae-3304	74	6	y	y	PROPN
bae-3304	74	7	in	in	ADP
bae-3304	74	8	pmp	pmp	PROPN
bae-3304	74	9	to	to	PART
bae-3304	74	10	justify	justify	VERB
bae-3304	74	11	the	the	DET
bae-3304	74	12	structure	structure	NOUN
bae-3304	74	13	of	of	ADP
bae-3304	74	14	the	the	DET
bae-3304	74	15	novel	novel	ADJ
bae-3304	74	16	phase	phase	NOUN
bae-3304	74	17	i	i	PRON
bae-3304	74	18	pmp	pmp	INTJ
bae-3304	74	19	model	model	NOUN
bae-3304	74	20	we	we	PRON
bae-3304	74	21	begin	begin	VERB
bae-3304	74	22	with	with	ADP
bae-3304	74	23	two	two	NUM
bae-3304	74	24	preliminary	preliminary	ADJ
bae-3304	74	25	analyses	analysis	NOUN
bae-3304	74	26	.	.	PUNCT
bae-3304	75	1	first	first	ADV
bae-3304	75	2	,	,	PUNCT
bae-3304	75	3	suppose	suppose	VERB
bae-3304	75	4	that	that	SCONJ
bae-3304	75	5	a	a	DET
bae-3304	75	6	preliminary	preliminary	ADJ
bae-3304	75	7	phase	phase	NOUN
bae-3304	75	8	i	i	PRON
bae-3304	75	9	of	of	ADP
bae-3304	75	10	the	the	DET
bae-3304	75	11	pmp	pmp	PROPN
bae-3304	75	12	methodology	methodology	NOUN
bae-3304	75	13	is	be	AUX
bae-3304	75	14	concerned	concern	VERB
bae-3304	75	15	with	with	ADP
bae-3304	75	16	solving	solve	VERB
bae-3304	75	17	the	the	DET
bae-3304	75	18	following	follow	VERB
bae-3304	75	19	problem	problem	NOUN
bae-3304	75	20	maxtnr	maxtnr	NOUN
bae-3304	75	21	=	=	SYM
bae-3304	75	22	p’x	p’x	PROPN
bae-3304	75	23	c’x	c’x	PROPN
bae-3304	76	1	(	(	PUNCT
bae-3304	76	2	6	6	NUM
bae-3304	76	3	)	)	PUNCT
bae-3304	76	4	subject	subject	NOUN
bae-3304	76	5	to	to	ADP
bae-3304	76	6	ax	ax	NOUN
bae-3304	76	7	≤	≤	NUM
bae-3304	76	8	b	b	NOUN
bae-3304	76	9	dual	dual	ADJ
bae-3304	76	10	variables	variable	NOUN
bae-3304	76	11	y	y	PROPN
bae-3304	76	12	(	(	PUNCT
bae-3304	76	13	7	7	NUM
bae-3304	76	14	)	)	PUNCT
bae-3304	76	15	x	x	X
bae-3304	77	1	=	=	PUNCT
bae-3304	77	2	x	x	PUNCT
bae-3304	78	1	+	+	NUM
bae-3304	78	2	h	h	NOUN
bae-3304	78	3	dual	dual	ADJ
bae-3304	78	4	variables	variable	NOUN
bae-3304	78	5	λ	λ	PROPN
bae-3304	78	6	(	(	PUNCT
bae-3304	78	7	8)	8)	NUM
bae-3304	78	8	with	with	ADP
bae-3304	78	9	x	x	PROPN
bae-3304	78	10	≥	≥	NUM
bae-3304	78	11	0	0	NUM
bae-3304	78	12	and	and	CCONJ
bae-3304	78	13	h	h	NOUN
bae-3304	78	14	unrestricted	unrestricted	ADJ
bae-3304	78	15	.	.	PUNCT
bae-3304	79	1	furthermore	furthermore	ADV
bae-3304	79	2	,	,	PUNCT
bae-3304	79	3	we	we	PRON
bae-3304	79	4	wish	wish	VERB
bae-3304	79	5	to	to	PART
bae-3304	79	6	minimize	minimize	VERB
bae-3304	79	7	the	the	DET
bae-3304	79	8	sum	sum	NOUN
bae-3304	79	9	of	of	ADP
bae-3304	79	10	squared	square	VERB
bae-3304	79	11	deviations	deviation	NOUN
bae-3304	79	12	,	,	PUNCT
bae-3304	79	13	h’wh/2	h’wh/2	PROPN
bae-3304	79	14	as	as	ADP
bae-3304	79	15	in	in	ADP
bae-3304	79	16	a	a	DET
bae-3304	79	17	weighted	weight	VERB
bae-3304	79	18	least	least	ADJ
bae-3304	79	19	-	-	PUNCT
bae-3304	79	20	squares	square	NOUN
bae-3304	79	21	approach	approach	NOUN
bae-3304	79	22	.	.	PUNCT
bae-3304	80	1	the	the	DET
bae-3304	80	2	w	w	PROPN
bae-3304	80	3	matrix	matrix	NOUN
bae-3304	80	4	is	be	AUX
bae-3304	80	5	diagonal	diagonal	ADJ
bae-3304	80	6	with	with	ADP
bae-3304	80	7	elements	element	NOUN
bae-3304	80	8	pj	pj	PROPN
bae-3304	80	9	>	>	X
bae-3304	80	10	0	0	PUNCT
bae-3304	81	1	on	on	ADP
bae-3304	81	2	the	the	DET
bae-3304	81	3	main	main	ADJ
bae-3304	81	4	diagonal	diagonal	NOUN
bae-3304	81	5	,	,	PUNCT
bae-3304	81	6	j	j	PROPN
bae-3304	81	7	=	=	SYM
bae-3304	81	8	1,	1,	NUM
bae-3304	81	9	…	…	SYM
bae-3304	81	10	,j	,j	PUNCT
bae-3304	81	11	.	.	PUNCT
bae-3304	82	1	the	the	DET
bae-3304	82	2	effective	effective	ADJ
bae-3304	82	3	objective	objective	ADJ
bae-3304	82	4	function	function	NOUN
bae-3304	82	5	,	,	PUNCT
bae-3304	82	6	therefore	therefore	ADV
bae-3304	82	7	,	,	PUNCT
bae-3304	82	8	will	will	AUX
bae-3304	82	9	be	be	AUX
bae-3304	82	10	expressed	express	VERB
bae-3304	82	11	as	as	ADP
bae-3304	82	12	an	an	DET
bae-3304	82	13	auxiliary	auxiliary	ADJ
bae-3304	82	14	function	function	NOUN
bae-3304	82	15	such	such	ADJ
bae-3304	82	16	as	as	ADP
bae-3304	82	17	maxaux	maxaux	NOUN
bae-3304	82	18	=	=	SYM
bae-3304	82	19	p’x	p’x	PROPN
bae-3304	82	20	c’x	c’x	X
bae-3304	83	1	h’wh/2	h’wh/2	PROPN
bae-3304	83	2	.	.	PUNCT
bae-3304	84	1	the	the	DET
bae-3304	84	2	purpose	purpose	NOUN
bae-3304	84	3	of	of	ADP
bae-3304	84	4	the	the	DET
bae-3304	84	5	weight	weight	NOUN
bae-3304	84	6	matrix	matrix	NOUN
bae-3304	84	7	w	w	NOUN
bae-3304	84	8	is	be	AUX
bae-3304	84	9	to	to	PART
bae-3304	84	10	measure	measure	VERB
bae-3304	84	11	each	each	DET
bae-3304	84	12	component	component	NOUN
bae-3304	84	13	of	of	ADP
bae-3304	84	14	the	the	DET
bae-3304	84	15	auxiliary	auxiliary	ADJ
bae-3304	84	16	objective	objective	ADJ
bae-3304	84	17	function	function	NOUN
bae-3304	84	18	in	in	ADP
bae-3304	84	19	the	the	DET
bae-3304	84	20	same	same	ADJ
bae-3304	84	21	measurement	measurement	NOUN
bae-3304	84	22	units	unit	NOUN
bae-3304	84	23	,	,	PUNCT
bae-3304	84	24	that	that	ADV
bae-3304	84	25	is	is	ADV
bae-3304	84	26	,	,	PUNCT
bae-3304	84	27	in	in	ADP
bae-3304	84	28	dollars	dollar	NOUN
bae-3304	84	29	.	.	PUNCT
bae-3304	85	1	forming	form	VERB
bae-3304	85	2	the	the	DET
bae-3304	85	3	lagrange	lagrange	NOUN
bae-3304	85	4	function	function	NOUN
bae-3304	85	5	and	and	CCONJ
bae-3304	85	6	stating	state	VERB
bae-3304	85	7	the	the	DET
bae-3304	85	8	relevant	relevant	ADJ
bae-3304	85	9	karush	karush	PROPN
bae-3304	85	10	-	-	PUNCT
bae-3304	85	11	kuhn	kuhn	PROPN
bae-3304	85	12	-	-	PUNCT
bae-3304	85	13	tucker	tucker	PROPN
bae-3304	85	14	(	(	PUNCT
bae-3304	85	15	kkt	kkt	PROPN
bae-3304	85	16	)	)	PUNCT
bae-3304	85	17	conditions	condition	NOUN
bae-3304	85	18	will	will	AUX
bae-3304	85	19	give	give	VERB
bae-3304	85	20	l	l	NOUN
bae-3304	85	21	=	=	SYM
bae-3304	85	22	p’x	p’x	PROPN
bae-3304	85	23	c’x	c’x	X
bae-3304	86	1	h’wh/2	h’wh/2	PROPN
bae-3304	86	2	+	+	CCONJ
bae-3304	86	3	y’[b	y’[b	X
bae-3304	86	4	ax	ax	NOUN
bae-3304	86	5	]	]	PUNCT
bae-3304	87	1	+	+	CCONJ
bae-3304	87	2	λ’[x	λ’[x	PROPN
bae-3304	87	3	+	+	NUM
bae-3304	87	4	h	h	NOUN
bae-3304	87	5	x	x	X
bae-3304	87	6	]	]	X
bae-3304	87	7	(	(	PUNCT
bae-3304	87	8	9	9	X
bae-3304	87	9	)	)	PUNCT
bae-3304	87	10	∂l	∂l	NOUN
bae-3304	87	11	∂x	∂x	NOUN
bae-3304	87	12	=	=	PUNCT
bae-3304	87	13	p−c−	p−c−	PROPN
bae-3304	87	14	ʹa	ʹa	NOUN
bae-3304	87	15	y−λ≤0	y−λ≤0	NOUN
bae-3304	87	16	(	(	PUNCT
bae-3304	87	17	10	10	NUM
bae-3304	87	18	)	)	PUNCT
bae-3304	87	19	λλ	λλ	ADP
bae-3304	87	20	∂	∂	NOUN
bae-3304	87	21	∂	∂	NUM
bae-3304	87	22	=	=	SYM
bae-3304	87	23	−	−	PROPN
bae-3304	88	1	+	+	NUM
bae-3304	88	2	h	h	NOUN
bae-3304	88	3	hl	hl	NOUN
bae-3304	88	4	w	w	ADP
bae-3304	88	5	0=	0=	NOUN
bae-3304	88	6	(	(	PUNCT
bae-3304	88	7	11	11	NUM
bae-3304	88	8	)	)	PUNCT
bae-3304	88	9	from	from	ADP
bae-3304	88	10	relation	relation	NOUN
bae-3304	88	11	(	(	PUNCT
bae-3304	88	12	11	11	NUM
bae-3304	88	13	)	)	PUNCT
bae-3304	88	14	,	,	PUNCT
bae-3304	88	15	λ	λ	X
bae-3304	88	16	=	=	VERB
bae-3304	88	17	wh	wh	VERB
bae-3304	88	18	and	and	CCONJ
bae-3304	88	19	,	,	PUNCT
bae-3304	88	20	thus	thus	ADV
bae-3304	88	21	,	,	PUNCT
bae-3304	88	22	we	we	PRON
bae-3304	88	23	can	can	AUX
bae-3304	88	24	dispense	dispense	VERB
bae-3304	88	25	from	from	ADP
bae-3304	88	26	using	use	VERB
bae-3304	88	27	the	the	DET
bae-3304	88	28	λ	λ	NOUN
bae-3304	88	29	symbol	symbol	NOUN
bae-3304	88	30	explicitly	explicitly	ADV
bae-3304	88	31	.	.	PUNCT
bae-3304	89	1	relation	relation	NOUN
bae-3304	89	2	(	(	PUNCT
bae-3304	89	3	10	10	NUM
bae-3304	89	4	)	)	PUNCT
bae-3304	89	5	,	,	PUNCT
bae-3304	89	6	then	then	ADV
bae-3304	89	7	,	,	PUNCT
bae-3304	89	8	can	can	AUX
bae-3304	89	9	be	be	AUX
bae-3304	89	10	reformulated	reformulate	VERB
bae-3304	89	11	as	as	ADP
bae-3304	89	12	a’y	a’y	PROPN
bae-3304	89	13	+	+	CCONJ
bae-3304	89	14	wh	wh	VERB
bae-3304	89	15	+	+	SYM
bae-3304	89	16	c	c	NOUN
bae-3304	89	17	≥	≥	NOUN
bae-3304	90	1	p.	p.	NOUN
bae-3304	90	2	(	(	PUNCT
bae-3304	90	3	12	12	NUM
bae-3304	90	4	)	)	PUNCT
bae-3304	90	5	relation	relation	NOUN
bae-3304	90	6	(	(	PUNCT
bae-3304	90	7	11	11	NUM
bae-3304	90	8	)	)	PUNCT
bae-3304	90	9	represents	represent	VERB
bae-3304	90	10	a	a	DET
bae-3304	90	11	case	case	NOUN
bae-3304	90	12	of	of	ADP
bae-3304	90	13	self	self	NOUN
bae-3304	90	14	-	-	PUNCT
bae-3304	90	15	duality	duality	NOUN
bae-3304	90	16	,	,	PUNCT
bae-3304	90	17	where	where	SCONJ
bae-3304	90	18	a	a	DET
bae-3304	90	19	dual	dual	ADJ
bae-3304	90	20	variable	variable	NOUN
bae-3304	90	21	is	be	AUX
bae-3304	90	22	equal	equal	ADJ
bae-3304	90	23	(	(	PUNCT
bae-3304	90	24	up	up	ADP
bae-3304	90	25	to	to	ADP
bae-3304	90	26	a	a	DET
bae-3304	90	27	scalar	scalar	NOUN
bae-3304	90	28	)	)	PUNCT
bae-3304	90	29	to	to	ADP
bae-3304	90	30	a	a	DET
bae-3304	90	31	primal	primal	ADJ
bae-3304	90	32	variable	variable	NOUN
bae-3304	90	33	.	.	PUNCT
bae-3304	91	1	analogously	analogously	ADV
bae-3304	91	2	,	,	PUNCT
bae-3304	91	3	and	and	CCONJ
bae-3304	91	4	still	still	ADV
bae-3304	91	5	in	in	ADP
bae-3304	91	6	a	a	DET
bae-3304	91	7	preliminary	preliminary	ADJ
bae-3304	91	8	stage	stage	NOUN
bae-3304	91	9	of	of	ADP
bae-3304	91	10	analysis	analysis	NOUN
bae-3304	91	11	,	,	PUNCT
bae-3304	91	12	let	let	VERB
bae-3304	91	13	us	we	PRON
bae-3304	91	14	consider	consider	VERB
bae-3304	91	15	the	the	DET
bae-3304	91	16	following	follow	VERB
bae-3304	91	17	problem	problem	NOUN
bae-3304	91	18	mintc	mintc	NOUN
bae-3304	91	19	=	=	SYM
bae-3304	91	20	b’y	b’y	PROPN
bae-3304	91	21	(	(	PUNCT
bae-3304	91	22	13	13	NUM
bae-3304	91	23	)	)	PUNCT
bae-3304	91	24	subject	subject	NOUN
bae-3304	91	25	to	to	ADP
bae-3304	91	26	a’y	a’y	PROPN
bae-3304	92	1	+	+	CCONJ
bae-3304	92	2	c	c	PROPN
bae-3304	92	3	≥	≥	NOUN
bae-3304	92	4	p	p	NOUN
bae-3304	92	5	dual	dual	ADJ
bae-3304	92	6	variables	variable	NOUN
bae-3304	92	7	x	x	X
bae-3304	92	8	(	(	PUNCT
bae-3304	92	9	14	14	NUM
bae-3304	92	10	)	)	PUNCT
bae-3304	92	11	y	y	NOUN
bae-3304	92	12	=	=	PUNCT
bae-3304	92	13	y	y	PROPN
bae-3304	93	1	+	+	NUM
bae-3304	93	2	u	u	NOUN
bae-3304	93	3	dual	dual	ADJ
bae-3304	93	4	variables	variable	NOUN
bae-3304	93	5	ψ	ψ	X
bae-3304	93	6	(	(	PUNCT
bae-3304	93	7	15	15	NUM
bae-3304	93	8	)	)	PUNCT
bae-3304	93	9	with	with	ADP
bae-3304	93	10	y	y	PROPN
bae-3304	93	11	≥	≥	NUM
bae-3304	93	12	0	0	NUM
bae-3304	93	13	and	and	CCONJ
bae-3304	93	14	u	u	NOUN
bae-3304	93	15	as	as	ADP
bae-3304	93	16	unrestricted	unrestricted	ADJ
bae-3304	93	17	deviations	deviation	NOUN
bae-3304	93	18	.	.	PUNCT
bae-3304	94	1	again	again	ADV
bae-3304	94	2	,	,	PUNCT
bae-3304	94	3	we	we	PRON
bae-3304	94	4	wish	wish	VERB
bae-3304	94	5	to	to	PART
bae-3304	94	6	minimize	minimize	VERB
bae-3304	94	7	the	the	DET
bae-3304	94	8	sum	sum	NOUN
bae-3304	94	9	of	of	ADP
bae-3304	94	10	squared	square	VERB
bae-3304	94	11	deviations	deviation	NOUN
bae-3304	94	12	,	,	PUNCT
bae-3304	94	13	u’vu/2	u’vu/2	ADJ
bae-3304	94	14	as	as	ADP
bae-3304	94	15	in	in	ADP
bae-3304	94	16	a	a	DET
bae-3304	94	17	weighted	weight	VERB
bae-3304	94	18	least	least	ADJ
bae-3304	94	19	-	-	PUNCT
bae-3304	94	20	squares	square	NOUN
bae-3304	94	21	approach	approach	NOUN
bae-3304	94	22	.	.	PUNCT
bae-3304	95	1	the	the	DET
bae-3304	95	2	matrix	matrix	NOUN
bae-3304	95	3	v	v	NOUN
bae-3304	95	4	is	be	AUX
bae-3304	95	5	diagonal	diagonal	ADJ
bae-3304	95	6	with	with	ADP
bae-3304	95	7	elements	element	NOUN
bae-3304	95	8	b	b	X
bae-3304	95	9	yi	yi	PROPN
bae-3304	95	10	i/	i/	VERB
bae-3304	95	11	>	>	X
bae-3304	95	12	0	0	PUNCT
bae-3304	96	1	on	on	ADP
bae-3304	96	2	the	the	DET
bae-3304	96	3	main	main	ADJ
bae-3304	96	4	diagonal	diagonal	NOUN
bae-3304	96	5	,	,	PUNCT
bae-3304	96	6	i	i	PRON
bae-3304	96	7	i=1	i=1	PROPN
bae-3304	96	8	,	,	PUNCT
bae-3304	96	9	...	...	PUNCT
bae-3304	96	10	,	,	PUNCT
bae-3304	96	11	.	.	PUNCT
bae-3304	97	1	the	the	DET
bae-3304	97	2	effective	effective	ADJ
bae-3304	97	3	objective	objective	NOUN
bae-3304	97	4	,	,	PUNCT
bae-3304	97	5	then	then	ADV
bae-3304	97	6	,	,	PUNCT
bae-3304	97	7	will	will	AUX
bae-3304	97	8	be	be	AUX
bae-3304	97	9	expressed	express	VERB
bae-3304	97	10	as	as	ADP
bae-3304	97	11	an	an	DET
bae-3304	97	12	auxiliary	auxiliary	ADJ
bae-3304	97	13	function	function	NOUN
bae-3304	97	14	to	to	PART
bae-3304	97	15	be	be	AUX
bae-3304	97	16	minimized	minimize	VERB
bae-3304	97	17	such	such	ADJ
bae-3304	97	18	as	as	ADP
bae-3304	97	19	minaux2	minaux2	PROPN
bae-3304	97	20	=	=	SYM
bae-3304	97	21	b’y	b’y	NOUN
bae-3304	97	22	+	+	X
bae-3304	97	23	u’vu/2	u’vu/2	ADJ
bae-3304	97	24	.	.	PUNCT
bae-3304	98	1	the	the	DET
bae-3304	98	2	purpose	purpose	NOUN
bae-3304	98	3	of	of	ADP
bae-3304	98	4	the	the	DET
bae-3304	98	5	v	v	NOUN
bae-3304	98	6	matrix	matrix	NOUN
bae-3304	98	7	is	be	AUX
bae-3304	98	8	to	to	PART
bae-3304	98	9	render	render	VERB
bae-3304	98	10	homogeneous	homogeneous	ADJ
bae-3304	98	11	the	the	DET
bae-3304	98	12	measurement	measurement	NOUN
bae-3304	98	13	units	unit	NOUN
bae-3304	98	14	of	of	ADP
bae-3304	98	15	all	all	DET
bae-3304	98	16	the	the	DET
bae-3304	98	17	terms	term	NOUN
bae-3304	98	18	in	in	ADP
bae-3304	98	19	the	the	DET
bae-3304	98	20	objective	objective	ADJ
bae-3304	98	21	function	function	NOUN
bae-3304	98	22	and	and	CCONJ
bae-3304	98	23	to	to	PART
bae-3304	98	24	scale	scale	VERB
bae-3304	98	25	the	the	DET
bae-3304	98	26	deviations	deviation	NOUN
bae-3304	98	27	u	u	NOUN
bae-3304	98	28	according	accord	VERB
bae-3304	98	29	to	to	ADP
bae-3304	98	30	the	the	DET
bae-3304	98	31	size	size	NOUN
bae-3304	98	32	of	of	ADP
bae-3304	98	33	the	the	DET
bae-3304	98	34	input	input	NOUN
bae-3304	98	35	constraints	constraint	NOUN
bae-3304	98	36	.	.	PUNCT
bae-3304	99	1	forming	form	VERB
bae-3304	99	2	the	the	DET
bae-3304	99	3	lagrange	lagrange	NOUN
bae-3304	99	4	function	function	NOUN
bae-3304	99	5	and	and	CCONJ
bae-3304	99	6	stating	state	VERB
bae-3304	99	7	the	the	DET
bae-3304	99	8	relevant	relevant	ADJ
bae-3304	99	9	kkt	kkt	PROPN
bae-3304	99	10	conditions	condition	NOUN
bae-3304	99	11	give	give	VERB
bae-3304	99	12	l	l	NOUN
bae-3304	99	13	*	*	PUNCT
bae-3304	99	14	=	=	PUNCT
bae-3304	99	15	b’y	b’y	NOUN
bae-3304	99	16	+	+	CCONJ
bae-3304	99	17	u’vu/2	u’vu/2	PROPN
bae-3304	100	1	+	+	CCONJ
bae-3304	100	2	x’[a’y	x’[a’y	PUNCT
bae-3304	101	1	+	+	PUNCT
bae-3304	102	1	c	c	NOUN
bae-3304	102	2	p	p	X
bae-3304	102	3	]	]	X
bae-3304	102	4	+	+	CCONJ
bae-3304	102	5	ψ’[y	ψ’[y	PROPN
bae-3304	102	6	y	y	PROPN
bae-3304	102	7	u	u	PROPN
bae-3304	102	8	]	]	X
bae-3304	102	9	(	(	PUNCT
bae-3304	102	10	16	16	NUM
bae-3304	102	11	)	)	PUNCT
bae-3304	102	12	ψ	ψ	NOUN
bae-3304	102	13	∂	∂	NOUN
bae-3304	102	14	∂	∂	NOUN
bae-3304	102	15	=	=	SYM
bae-3304	102	16	−	−	PROPN
bae-3304	103	1	+	+	NUM
bae-3304	103	2	≥	≥	NOUN
bae-3304	103	3	y	y	PROPN
bae-3304	103	4	b	b	PROPN
bae-3304	103	5	x	x	X
bae-3304	103	6	0l	0l	PRON
bae-3304	103	7	a	a	DET
bae-3304	103	8	*	*	X
bae-3304	103	9	(	(	PUNCT
bae-3304	103	10	17	17	NUM
bae-3304	103	11	)	)	PUNCT
bae-3304	103	12	23cost	23cost	NUM
bae-3304	103	13	function	function	NOUN
bae-3304	103	14	and	and	CCONJ
bae-3304	103	15	positive	positive	ADJ
bae-3304	103	16	mathematical	mathematical	ADJ
bae-3304	103	17	programming	programming	NOUN
bae-3304	103	18	u	u	NOUN
bae-3304	103	19	u	u	NOUN
bae-3304	103	20	0l	0l	X
bae-3304	103	21	v	v	ADP
bae-3304	103	22	*	*	PUNCT
bae-3304	103	23	ψψ	ψψ	PROPN
bae-3304	103	24	∂	∂	NOUN
bae-3304	103	25	∂	∂	NOUN
bae-3304	103	26	=	=	SYM
bae-3304	103	27	−	−	PROPN
bae-3304	104	1	=	=	SYM
bae-3304	104	2	(	(	PUNCT
bae-3304	104	3	18	18	NUM
bae-3304	104	4	)	)	PUNCT
bae-3304	104	5	from	from	ADP
bae-3304	104	6	the	the	DET
bae-3304	104	7	self	self	NOUN
bae-3304	104	8	-	-	PUNCT
bae-3304	104	9	dual	dual	ADJ
bae-3304	104	10	relation	relation	NOUN
bae-3304	104	11	(	(	PUNCT
bae-3304	104	12	18	18	NUM
bae-3304	104	13	)	)	PUNCT
bae-3304	104	14	,	,	PUNCT
bae-3304	104	15	ψ	ψ	X
bae-3304	104	16	=	=	SYM
bae-3304	104	17	vu	vu	NOUN
bae-3304	104	18	and	and	CCONJ
bae-3304	104	19	,	,	PUNCT
bae-3304	104	20	again	again	ADV
bae-3304	104	21	,	,	PUNCT
bae-3304	104	22	we	we	PRON
bae-3304	104	23	can	can	AUX
bae-3304	104	24	dispense	dispense	VERB
bae-3304	104	25	from	from	ADP
bae-3304	104	26	using	use	VERB
bae-3304	104	27	the	the	DET
bae-3304	104	28	symbol	symbol	NOUN
bae-3304	104	29	ψ	ψ	X
bae-3304	104	30	explicitly	explicitly	ADV
bae-3304	104	31	.	.	PUNCT
bae-3304	105	1	thus	thus	ADV
bae-3304	105	2	,	,	PUNCT
bae-3304	105	3	relation	relation	NOUN
bae-3304	105	4	(	(	PUNCT
bae-3304	105	5	17	17	NUM
bae-3304	105	6	)	)	PUNCT
bae-3304	105	7	can	can	AUX
bae-3304	105	8	be	be	AUX
bae-3304	105	9	reformulated	reformulate	VERB
bae-3304	105	10	as	as	ADP
bae-3304	105	11	ax	ax	NOUN
bae-3304	105	12	≤	≤	NUM
bae-3304	105	13	b	b	PROPN
bae-3304	105	14	+	+	NUM
bae-3304	105	15	vu	vu	X
bae-3304	105	16	(	(	PUNCT
bae-3304	105	17	19	19	NUM
bae-3304	105	18	)	)	PUNCT
bae-3304	105	19	this	this	DET
bae-3304	105	20	discussion	discussion	NOUN
bae-3304	105	21	leads	lead	VERB
bae-3304	105	22	to	to	ADP
bae-3304	105	23	a	a	DET
bae-3304	105	24	specification	specification	NOUN
bae-3304	105	25	of	of	ADP
bae-3304	105	26	a	a	DET
bae-3304	105	27	phase	phase	NOUN
bae-3304	105	28	i	i	PRON
bae-3304	105	29	pmp	pmp	PROPN
bae-3304	105	30	model	model	NOUN
bae-3304	105	31	that	that	PRON
bae-3304	105	32	combines	combine	VERB
bae-3304	105	33	the	the	DET
bae-3304	105	34	duality	duality	NOUN
bae-3304	105	35	relations	relation	NOUN
bae-3304	105	36	of	of	ADP
bae-3304	105	37	a	a	DET
bae-3304	105	38	lp	lp	NOUN
bae-3304	105	39	problem	problem	NOUN
bae-3304	105	40	together	together	ADV
bae-3304	105	41	with	with	ADP
bae-3304	105	42	the	the	DET
bae-3304	105	43	least	least	ADJ
bae-3304	105	44	-	-	PUNCT
bae-3304	105	45	squares	square	NOUN
bae-3304	105	46	necessary	necessary	ADJ
bae-3304	105	47	conditions	condition	NOUN
bae-3304	105	48	involving	involve	VERB
bae-3304	105	49	deviations	deviation	NOUN
bae-3304	105	50	h	h	NOUN
bae-3304	105	51	and	and	CCONJ
bae-3304	105	52	u.	u.	NOUN
bae-3304	105	53	combining	combine	VERB
bae-3304	105	54	constraints	constraint	NOUN
bae-3304	105	55	(	(	PUNCT
bae-3304	105	56	12	12	NUM
bae-3304	105	57	)	)	PUNCT
bae-3304	105	58	and	and	CCONJ
bae-3304	105	59	(	(	PUNCT
bae-3304	105	60	19	19	NUM
bae-3304	105	61	)	)	PUNCT
bae-3304	105	62	with	with	ADP
bae-3304	105	63	the	the	DET
bae-3304	105	64	calibration	calibration	NOUN
bae-3304	105	65	relations	relation	NOUN
bae-3304	105	66	(	(	PUNCT
bae-3304	105	67	8)	8)	NUM
bae-3304	105	68	and	and	CCONJ
bae-3304	105	69	(	(	PUNCT
bae-3304	105	70	15	15	NUM
bae-3304	105	71	)	)	PUNCT
bae-3304	105	72	,	,	PUNCT
bae-3304	105	73	we	we	PRON
bae-3304	105	74	can	can	AUX
bae-3304	105	75	write	write	VERB
bae-3304	105	76	the	the	DET
bae-3304	105	77	relevant	relevant	ADJ
bae-3304	105	78	phase	phase	NOUN
bae-3304	105	79	i	i	PRON
bae-3304	105	80	pmp	pmp	PROPN
bae-3304	105	81	model	model	NOUN
bae-3304	105	82	as	as	ADP
bae-3304	105	83	the	the	DET
bae-3304	105	84	problem	problem	NOUN
bae-3304	105	85	of	of	ADP
bae-3304	105	86	finding	find	VERB
bae-3304	105	87	nonnegative	nonnegative	ADJ
bae-3304	105	88	vectors	vector	NOUN
bae-3304	105	89	x	x	SYM
bae-3304	105	90	≥	≥	NOUN
bae-3304	105	91	0	0	NUM
bae-3304	105	92	,	,	PUNCT
bae-3304	105	93	y	y	PROPN
bae-3304	105	94	≥	≥	NOUN
bae-3304	105	95	0	0	NUM
bae-3304	106	1	and	and	CCONJ
bae-3304	106	2	unrestricted	unrestricted	ADJ
bae-3304	106	3	vectors	vector	NOUN
bae-3304	106	4	h	h	NOUN
bae-3304	106	5	and	and	CCONJ
bae-3304	106	6	u	u	PRON
bae-3304	106	7	such	such	ADJ
bae-3304	106	8	that	that	DET
bae-3304	106	9	ax	ax	NOUN
bae-3304	106	10	≤	≤	NUM
bae-3304	106	11	b	b	NOUN
bae-3304	107	1	+	+	NUM
bae-3304	107	2	vu	vu	X
bae-3304	107	3	dual	dual	ADJ
bae-3304	107	4	variables	variable	NOUN
bae-3304	107	5	y	y	PROPN
bae-3304	107	6	(	(	PUNCT
bae-3304	107	7	20	20	NUM
bae-3304	107	8	)	)	PUNCT
bae-3304	107	9	a’y	a’y	PROPN
bae-3304	108	1	+	+	CCONJ
bae-3304	108	2	wh	wh	VERB
bae-3304	108	3	+	+	SYM
bae-3304	108	4	c	c	NOUN
bae-3304	108	5	≥	≥	NOUN
bae-3304	108	6	p	p	NOUN
bae-3304	108	7	dual	dual	ADJ
bae-3304	108	8	variables	variable	NOUN
bae-3304	108	9	x	x	X
bae-3304	108	10	(	(	PUNCT
bae-3304	108	11	21	21	NUM
bae-3304	108	12	)	)	PUNCT
bae-3304	108	13	x	x	X
bae-3304	109	1	=	=	PUNCT
bae-3304	109	2	x	x	PUNCT
bae-3304	110	1	+	+	NUM
bae-3304	110	2	h	h	NOUN
bae-3304	110	3	dual	dual	ADJ
bae-3304	110	4	variables	variable	NOUN
bae-3304	110	5	wh	wh	VERB
bae-3304	110	6	(	(	PUNCT
bae-3304	110	7	22	22	NUM
bae-3304	110	8	)	)	PUNCT
bae-3304	110	9	y	y	NOUN
bae-3304	110	10	=	=	PUNCT
bae-3304	110	11	y	y	PROPN
bae-3304	110	12	+	+	NUM
bae-3304	110	13	u	u	NOUN
bae-3304	110	14	dual	dual	ADJ
bae-3304	110	15	variables	variable	NOUN
bae-3304	110	16	vu	vu	X
bae-3304	110	17	(	(	PUNCT
bae-3304	110	18	23	23	NUM
bae-3304	110	19	)	)	PUNCT
bae-3304	110	20	together	together	ADV
bae-3304	110	21	with	with	ADP
bae-3304	110	22	the	the	DET
bae-3304	110	23	associated	associated	ADJ
bae-3304	110	24	complementary	complementary	ADJ
bae-3304	110	25	slackness	slackness	NOUN
bae-3304	110	26	conditions	condition	NOUN
bae-3304	110	27	.	.	PUNCT
bae-3304	111	1	this	this	DET
bae-3304	111	2	pmp	pmp	PROPN
bae-3304	111	3	approach	approach	NOUN
bae-3304	111	4	avoids	avoid	VERB
bae-3304	111	5	the	the	DET
bae-3304	111	6	necessity	necessity	NOUN
bae-3304	111	7	of	of	ADP
bae-3304	111	8	searching	search	VERB
bae-3304	111	9	for	for	ADP
bae-3304	111	10	the	the	DET
bae-3304	111	11	user	user	NOUN
bae-3304	111	12	-	-	PUNCT
bae-3304	111	13	determined	determine	VERB
bae-3304	111	14	parameter	parameter	NOUN
bae-3304	111	15	ε	ε	PROPN
bae-3304	111	16	.	.	PUNCT
bae-3304	112	1	the	the	DET
bae-3304	112	2	solution	solution	NOUN
bae-3304	112	3	of	of	ADP
bae-3304	112	4	model	model	NOUN
bae-3304	112	5	(	(	PUNCT
bae-3304	112	6	20)-(23	20)-(23	NOUN
bae-3304	112	7	)	)	PUNCT
bae-3304	112	8	generates	generate	VERB
bae-3304	112	9	estimates	estimate	NOUN
bae-3304	112	10	of	of	ADP
bae-3304	112	11	the	the	DET
bae-3304	112	12	effective	effective	ADJ
bae-3304	112	13	marginal	marginal	ADJ
bae-3304	112	14	cost	cost	NOUN
bae-3304	112	15	levels	level	NOUN
bae-3304	112	16	(	(	PUNCT
bae-3304	112	17	ʹa	ʹa	ADP
bae-3304	112	18	ŷ+wĥ+c	ŷ+wĥ+c	NOUN
bae-3304	112	19	)	)	PUNCT
bae-3304	112	20	and	and	CCONJ
bae-3304	112	21	the	the	DET
bae-3304	112	22	input	input	NOUN
bae-3304	112	23	demand	demand	NOUN
bae-3304	112	24	levels	level	NOUN
bae-3304	112	25	xaˆ.	xaˆ.	X
bae-3304	113	1	3	3	X
bae-3304	113	2	.	.	PUNCT
bae-3304	113	3	solution	solution	NOUN
bae-3304	113	4	uniqueness	uniqueness	NOUN
bae-3304	113	5	of	of	ADP
bae-3304	113	6	the	the	DET
bae-3304	113	7	phase	phase	NOUN
bae-3304	113	8	i	i	PRON
bae-3304	113	9	pmp	pmp	INTJ
bae-3304	113	10	model	model	VERB
bae-3304	113	11	a	a	DET
bae-3304	113	12	least	least	ADJ
bae-3304	113	13	-	-	PUNCT
bae-3304	113	14	squares	square	NOUN
bae-3304	113	15	(	(	PUNCT
bae-3304	113	16	ls	ls	ADJ
bae-3304	113	17	)	)	PUNCT
bae-3304	113	18	solution	solution	NOUN
bae-3304	113	19	is	be	AUX
bae-3304	113	20	unique	unique	ADJ
bae-3304	113	21	if	if	SCONJ
bae-3304	113	22	and	and	CCONJ
bae-3304	113	23	only	only	ADV
bae-3304	113	24	if	if	SCONJ
bae-3304	113	25	the	the	DET
bae-3304	113	26	matrix	matrix	NOUN
bae-3304	113	27	of	of	ADP
bae-3304	113	28	“	"	PUNCT
bae-3304	113	29	explanatory	explanatory	ADJ
bae-3304	113	30	”	"	PUNCT
bae-3304	113	31	variables	variable	NOUN
bae-3304	113	32	has	have	VERB
bae-3304	113	33	full	full	ADJ
bae-3304	113	34	rank	rank	NOUN
bae-3304	113	35	.	.	PUNCT
bae-3304	114	1	to	to	PART
bae-3304	114	2	verify	verify	VERB
bae-3304	114	3	this	this	DET
bae-3304	114	4	crucial	crucial	ADJ
bae-3304	114	5	condition	condition	NOUN
bae-3304	114	6	in	in	ADP
bae-3304	114	7	relation	relation	NOUN
bae-3304	114	8	to	to	ADP
bae-3304	114	9	model	model	NOUN
bae-3304	114	10	(	(	PUNCT
bae-3304	114	11	20)-(23	20)-(23	NOUN
bae-3304	114	12	)	)	PUNCT
bae-3304	114	13	we	we	PRON
bae-3304	114	14	assume	assume	VERB
bae-3304	114	15	that	that	SCONJ
bae-3304	114	16	vectors	vector	NOUN
bae-3304	114	17	x	x	X
bae-3304	114	18	and	and	CCONJ
bae-3304	114	19	y	y	PROPN
bae-3304	114	20	have	have	VERB
bae-3304	114	21	all	all	DET
bae-3304	114	22	positive	positive	ADJ
bae-3304	114	23	components	component	NOUN
bae-3304	114	24	and	and	CCONJ
bae-3304	114	25	thus	thus	ADV
bae-3304	114	26	x	x	PUNCT
bae-3304	114	27	>	>	X
bae-3304	114	28	0	0	PUNCT
bae-3304	114	29	and	and	CCONJ
bae-3304	114	30	y	y	PROPN
bae-3304	114	31	>	>	X
bae-3304	114	32	0	0	PUNCT
bae-3304	115	1	(	(	PUNCT
bae-3304	115	2	this	this	DET
bae-3304	115	3	assumption	assumption	NOUN
bae-3304	115	4	will	will	AUX
bae-3304	115	5	be	be	AUX
bae-3304	115	6	relaxed	relax	VERB
bae-3304	115	7	in	in	ADP
bae-3304	115	8	section	section	NOUN
bae-3304	115	9	8)	8)	NUM
bae-3304	115	10	.	.	PUNCT
bae-3304	116	1	this	this	PRON
bae-3304	116	2	implies	imply	VERB
bae-3304	116	3	–	–	PUNCT
bae-3304	116	4	via	via	ADP
bae-3304	116	5	complementary	complementary	ADJ
bae-3304	116	6	slackness	slackness	NOUN
bae-3304	116	7	conditions	condition	NOUN
bae-3304	116	8	associated	associate	VERB
bae-3304	116	9	to	to	ADP
bae-3304	116	10	relations	relation	NOUN
bae-3304	116	11	(	(	PUNCT
bae-3304	116	12	20)-(21	20)-(21	NUM
bae-3304	116	13	)	)	PUNCT
bae-3304	116	14	–	–	PUNCT
bae-3304	116	15	that	that	DET
bae-3304	116	16	ax	ax	NOUN
bae-3304	116	17	=	=	SYM
bae-3304	116	18	b	b	PROPN
bae-3304	116	19	+	+	NUM
bae-3304	116	20	vu	vu	X
bae-3304	116	21	(	(	PUNCT
bae-3304	116	22	24	24	NUM
bae-3304	116	23	)	)	PUNCT
bae-3304	116	24	a’y	a’y	PROPN
bae-3304	117	1	+	+	CCONJ
bae-3304	117	2	wh	wh	VERB
bae-3304	117	3	+	+	SYM
bae-3304	117	4	c	c	NOUN
bae-3304	117	5	=	=	SYM
bae-3304	117	6	p	p	X
bae-3304	117	7	(	(	PUNCT
bae-3304	117	8	25	25	NUM
bae-3304	117	9	)	)	PUNCT
bae-3304	117	10	substituting	substitute	VERB
bae-3304	117	11	constraints	constraint	NOUN
bae-3304	117	12	(	(	PUNCT
bae-3304	117	13	22	22	NUM
bae-3304	117	14	)	)	PUNCT
bae-3304	117	15	and	and	CCONJ
bae-3304	117	16	(	(	PUNCT
bae-3304	117	17	23	23	NUM
bae-3304	117	18	)	)	PUNCT
bae-3304	117	19	into	into	ADP
bae-3304	117	20	(	(	PUNCT
bae-3304	117	21	24	24	NUM
bae-3304	117	22	)	)	PUNCT
bae-3304	117	23	and	and	CCONJ
bae-3304	117	24	(	(	PUNCT
bae-3304	117	25	25	25	NUM
bae-3304	117	26	)	)	PUNCT
bae-3304	117	27	,	,	PUNCT
bae-3304	117	28	and	and	CCONJ
bae-3304	117	29	rearranging	rearrange	VERB
bae-3304	117	30	terms	term	NOUN
bae-3304	117	31	in	in	ADP
bae-3304	117	32	order	order	NOUN
bae-3304	117	33	to	to	PART
bae-3304	117	34	have	have	AUX
bae-3304	117	35	all	all	DET
bae-3304	117	36	the	the	DET
bae-3304	117	37	unknowns	unknown	NOUN
bae-3304	117	38	on	on	ADP
bae-3304	117	39	one	one	NUM
bae-3304	117	40	side	side	NOUN
bae-3304	117	41	and	and	CCONJ
bae-3304	117	42	the	the	DET
bae-3304	117	43	constant	constant	ADJ
bae-3304	117	44	parameters	parameter	NOUN
bae-3304	117	45	on	on	ADP
bae-3304	117	46	the	the	DET
bae-3304	117	47	other	other	ADJ
bae-3304	117	48	side	side	NOUN
bae-3304	117	49	of	of	ADP
bae-3304	117	50	the	the	DET
bae-3304	117	51	equal	equal	ADJ
bae-3304	117	52	sign	sign	NOUN
bae-3304	117	53	,	,	PUNCT
bae-3304	117	54	we	we	PRON
bae-3304	117	55	obtain	obtain	VERB
bae-3304	117	56	u	u	PROPN
bae-3304	117	57	h	h	PROPN
bae-3304	117	58	b	b	PROPN
bae-3304	117	59	xv	xv	PROPN
bae-3304	117	60	a	a	DET
bae-3304	117	61	a−	a−	PROPN
bae-3304	117	62	+	+	PUNCT
bae-3304	117	63	=	=	SYM
bae-3304	117	64	−	−	PROPN
bae-3304	117	65	(	(	PUNCT
bae-3304	117	66	26	26	NUM
bae-3304	117	67	)	)	PUNCT
bae-3304	117	68	ʹa	ʹa	AUX
bae-3304	117	69	u+wh=	u+wh=	PROPN
bae-3304	117	70	p−	p−	NOUN
bae-3304	117	71	ʹa	ʹa	VERB
bae-3304	117	72	y	y	PROPN
bae-3304	117	73	−c	−c	NOUN
bae-3304	117	74	(	(	PUNCT
bae-3304	117	75	27	27	NUM
bae-3304	117	76	)	)	PUNCT
bae-3304	117	77	and	and	CCONJ
bae-3304	117	78	in	in	ADP
bae-3304	117	79	matrix	matrix	NOUN
bae-3304	117	80	notation	notation	NOUN
bae-3304	117	81	−v	−v	NOUN
bae-3304	117	82	a	a	DET
bae-3304	117	83	ʹa	ʹa	NOUN
bae-3304	117	84	w	w	NOUN
bae-3304	117	85	⎡	⎡	NOUN
bae-3304	117	86	⎣	⎣	ADJ
bae-3304	117	87	⎢	⎢	NOUN
bae-3304	117	88	⎤	⎤	NOUN
bae-3304	117	89	⎦	⎦	NOUN
bae-3304	117	90	⎥	⎥	PROPN
bae-3304	117	91	u	u	NOUN
bae-3304	117	92	h	h	NOUN
bae-3304	117	93	⎡	⎡	VERB
bae-3304	117	94	⎣	⎣	ADJ
bae-3304	117	95	⎢	⎢	NOUN
bae-3304	117	96	⎤	⎤	NOUN
bae-3304	117	97	⎦	⎦	NOUN
bae-3304	117	98	⎥=	⎥=	NOUN
bae-3304	117	99	b−ax	b−ax	VERB
bae-3304	117	100	p−	p−	NOUN
bae-3304	117	101	ʹa	ʹa	ADP
bae-3304	117	102	y−c	y−c	PROPN
bae-3304	117	103	⎡	⎡	NOUN
bae-3304	117	104	⎣	⎣	ADJ
bae-3304	117	105	⎢	⎢	NOUN
bae-3304	117	106	⎢	⎢	NOUN
bae-3304	117	107	⎤	⎤	NOUN
bae-3304	117	108	⎦	⎦	NUM
bae-3304	117	109	⎥	⎥	PROPN
bae-3304	117	110	⎥	⎥	PROPN
bae-3304	117	111	m	m	VERB
bae-3304	117	112	z	z	NOUN
bae-3304	117	113	=	=	SYM
bae-3304	117	114	q	q	X
bae-3304	117	115	(	(	PUNCT
bae-3304	117	116	28	28	NUM
bae-3304	117	117	)	)	PUNCT
bae-3304	117	118	the	the	DET
bae-3304	117	119	matrix	matrix	NOUN
bae-3304	117	120	m	m	VERB
bae-3304	117	121	is	be	AUX
bae-3304	117	122	of	of	ADP
bae-3304	117	123	full	full	ADJ
bae-3304	117	124	rank	rank	NOUN
bae-3304	117	125	because	because	SCONJ
bae-3304	117	126	the	the	DET
bae-3304	117	127	nonsingular	nonsingular	ADJ
bae-3304	117	128	weight	weight	NOUN
bae-3304	117	129	matrices	matrix	NOUN
bae-3304	117	130	v	v	ADP
bae-3304	117	131	and	and	CCONJ
bae-3304	117	132	w	w	NOUN
bae-3304	117	133	are	be	AUX
bae-3304	117	134	on	on	ADP
bae-3304	117	135	the	the	DET
bae-3304	117	136	main	main	ADJ
bae-3304	117	137	diagonal	diagonal	NOUN
bae-3304	117	138	.	.	PUNCT
bae-3304	118	1	hence	hence	ADV
bae-3304	118	2	,	,	PUNCT
bae-3304	118	3	the	the	DET
bae-3304	118	4	least	least	ADJ
bae-3304	118	5	-	-	PUNCT
bae-3304	118	6	squares	square	NOUN
bae-3304	118	7	solution	solution	NOUN
bae-3304	118	8	û	û	NUM
bae-3304	118	9	and	and	CCONJ
bae-3304	118	10	ĥ	ĥ	PROPN
bae-3304	118	11	is	be	AUX
bae-3304	118	12	unique	unique	ADJ
bae-3304	118	13	.	.	PUNCT
bae-3304	119	1	it	it	PRON
bae-3304	119	2	follows	follow	VERB
bae-3304	119	3	that	that	SCONJ
bae-3304	119	4	the	the	DET
bae-3304	119	5	solution	solution	NOUN
bae-3304	119	6	x̂	x̂	PUNCT
bae-3304	119	7	and	and	CCONJ
bae-3304	119	8	ŷ	ŷ	NUM
bae-3304	119	9	of	of	ADP
bae-3304	119	10	model	model	NOUN
bae-3304	119	11	(	(	PUNCT
bae-3304	119	12	20)-(23	20)-(23	NOUN
bae-3304	119	13	)	)	PUNCT
bae-3304	119	14	is	be	AUX
bae-3304	119	15	also	also	ADV
bae-3304	119	16	unique	unique	ADJ
bae-3304	119	17	.	.	PUNCT
bae-3304	120	1	given	give	VERB
bae-3304	120	2	the	the	DET
bae-3304	120	3	structure	structure	NOUN
bae-3304	120	4	of	of	ADP
bae-3304	120	5	the	the	DET
bae-3304	120	6	m	m	PROPN
bae-3304	120	7	matrix	matrix	NOUN
bae-3304	120	8	,	,	PUNCT
bae-3304	120	9	an	an	DET
bae-3304	120	10	inverse	inverse	NOUN
bae-3304	120	11	of	of	ADP
bae-3304	120	12	m	m	VERB
bae-3304	120	13	exists	exist	VERB
bae-3304	120	14	even	even	ADV
bae-3304	120	15	if	if	SCONJ
bae-3304	120	16	the	the	DET
bae-3304	120	17	a	a	DET
bae-3304	120	18	matrix	matrix	NOUN
bae-3304	120	19	is	be	AUX
bae-3304	120	20	not	not	PART
bae-3304	120	21	of	of	ADP
bae-3304	120	22	full	full	ADJ
bae-3304	120	23	rank	rank	NOUN
bae-3304	120	24	.	.	PUNCT
bae-3304	121	1	the	the	DET
bae-3304	121	2	explicit	explicit	ADJ
bae-3304	121	3	least	least	ADJ
bae-3304	121	4	-	-	PUNCT
bae-3304	121	5	squares	square	NOUN
bae-3304	121	6	solution	solution	NOUN
bae-3304	121	7	of	of	ADP
bae-3304	121	8	(	(	PUNCT
bae-3304	121	9	28	28	NUM
bae-3304	121	10	)	)	PUNCT
bae-3304	121	11	is	be	AUX
bae-3304	121	12	24	24	NUM
bae-3304	121	13	q.	q.	PROPN
bae-3304	121	14	paris	paris	PROPN
bae-3304	121	15	û	û	NUM
bae-3304	121	16	ĥ	ĥ	X
bae-3304	121	17	⎡	⎡	VERB
bae-3304	121	18	⎣	⎣	ADJ
bae-3304	121	19	⎢	⎢	NOUN
bae-3304	121	20	⎢	⎢	NOUN
bae-3304	121	21	⎤	⎤	NOUN
bae-3304	121	22	⎦	⎦	NOUN
bae-3304	121	23	⎥	⎥	PROPN
bae-3304	121	24	⎥	⎥	PROPN
bae-3304	122	1	=	=	PUNCT
bae-3304	122	2	−(v	−(v	PROPN
bae-3304	123	1	+	+	NOUN
bae-3304	123	2	aw	aw	INTJ
bae-3304	123	3	−1	−1	NOUN
bae-3304	123	4	ʹa	ʹa	NOUN
bae-3304	123	5	)	)	PUNCT
bae-3304	123	6	−1	−1	NOUN
bae-3304	123	7	v	v	NOUN
bae-3304	123	8	−1a	−1a	PROPN
bae-3304	123	9	(	(	PUNCT
bae-3304	123	10	ʹav	ʹav	VERB
bae-3304	123	11	−1a+w	−1a+w	NOUN
bae-3304	123	12	)	)	PUNCT
bae-3304	123	13	−1	−1	NOUN
bae-3304	124	1	w	w	NOUN
bae-3304	124	2	−1	−1	NOUN
bae-3304	124	3	ʹa	ʹa	ADP
bae-3304	124	4	(	(	PUNCT
bae-3304	124	5	v	v	ADP
bae-3304	124	6	+	+	NOUN
bae-3304	124	7	aw	aw	INTJ
bae-3304	124	8	−1	−1	NOUN
bae-3304	124	9	ʹa	ʹa	NOUN
bae-3304	124	10	)	)	PUNCT
bae-3304	124	11	−1	−1	NOUN
bae-3304	124	12	(	(	PUNCT
bae-3304	124	13	ʹav	ʹav	VERB
bae-3304	124	14	−1a+w	−1a+w	NOUN
bae-3304	124	15	)	)	PUNCT
bae-3304	124	16	−1	−1	NOUN
bae-3304	124	17	⎡	⎡	NOUN
bae-3304	124	18	⎣	⎣	ADJ
bae-3304	124	19	⎢	⎢	NOUN
bae-3304	124	20	⎢	⎢	NOUN
bae-3304	124	21	⎤	⎤	NOUN
bae-3304	124	22	⎦	⎦	NUM
bae-3304	124	23	⎥	⎥	PROPN
bae-3304	124	24	⎥	⎥	PROPN
bae-3304	124	25	b−ax	b−ax	VERB
bae-3304	124	26	p−	p−	NOUN
bae-3304	124	27	ʹa	ʹa	ADP
bae-3304	124	28	y	y	PROPN
bae-3304	124	29	−c	−c	NOUN
bae-3304	124	30	⎡	⎡	NOUN
bae-3304	124	31	⎣	⎣	ADJ
bae-3304	124	32	⎢	⎢	NOUN
bae-3304	124	33	⎢	⎢	NOUN
bae-3304	124	34	⎤	⎤	NOUN
bae-3304	124	35	⎦	⎦	NUM
bae-3304	124	36	⎥	⎥	PROPN
bae-3304	124	37	⎥	⎥	PROPN
bae-3304	124	38	(	(	PUNCT
bae-3304	124	39	29	29	NUM
bae-3304	124	40	)	)	PUNCT
bae-3304	124	41	the	the	DET
bae-3304	124	42	optimal	optimal	ADJ
bae-3304	124	43	and	and	CCONJ
bae-3304	124	44	calibrating	calibrate	VERB
bae-3304	124	45	ls	ls	ADJ
bae-3304	124	46	levels	level	NOUN
bae-3304	124	47	of	of	ADP
bae-3304	124	48	the	the	DET
bae-3304	124	49	primal	primal	ADJ
bae-3304	124	50	and	and	CCONJ
bae-3304	124	51	dual	dual	ADJ
bae-3304	124	52	variables	variable	NOUN
bae-3304	124	53	x	x	PUNCT
bae-3304	124	54	and	and	CCONJ
bae-3304	124	55	y	y	PROPN
bae-3304	124	56	then	then	ADV
bae-3304	124	57	,	,	PUNCT
bae-3304	124	58	are	be	AUX
bae-3304	124	59	obtained	obtain	VERB
bae-3304	124	60	as	as	ADP
bae-3304	124	61	a	a	DET
bae-3304	124	62	simple	simple	ADJ
bae-3304	124	63	addition	addition	NOUN
bae-3304	124	64	according	accord	VERB
bae-3304	124	65	to	to	ADP
bae-3304	124	66	the	the	DET
bae-3304	124	67	specification	specification	NOUN
bae-3304	124	68	given	give	VERB
bae-3304	124	69	in	in	ADP
bae-3304	124	70	constraints	constraint	NOUN
bae-3304	124	71	(	(	PUNCT
bae-3304	124	72	22	22	NUM
bae-3304	124	73	)	)	PUNCT
bae-3304	124	74	and	and	CCONJ
bae-3304	124	75	(	(	PUNCT
bae-3304	124	76	23	23	NUM
bae-3304	124	77	)	)	PUNCT
bae-3304	124	78	with	with	ADP
bae-3304	124	79	x	x	SYM
bae-3304	124	80	x	x	X
bae-3304	124	81	hˆ	hˆ	PRON
bae-3304	124	82	ˆ=	ˆ=	PROPN
bae-3304	124	83	+	+	CCONJ
bae-3304	124	84	and	and	CCONJ
bae-3304	124	85	y	y	PROPN
bae-3304	124	86	y	y	PROPN
bae-3304	124	87	uˆ	uˆ	PRON
bae-3304	124	88	ˆ=	ˆ=	PROPN
bae-3304	125	1	+	+	CCONJ
bae-3304	125	2	.	.	PUNCT
bae-3304	126	1	4	4	X
bae-3304	126	2	.	.	NOUN
bae-3304	126	3	phase	phase	NOUN
bae-3304	126	4	ii	ii	PROPN
bae-3304	126	5	:	:	PUNCT
bae-3304	126	6	specification	specification	NOUN
bae-3304	126	7	of	of	ADP
bae-3304	126	8	a	a	DET
bae-3304	126	9	general	general	ADJ
bae-3304	126	10	cost	cost	NOUN
bae-3304	126	11	function	function	NOUN
bae-3304	126	12	phase	phase	NOUN
bae-3304	126	13	ii	ii	PROPN
bae-3304	126	14	of	of	ADP
bae-3304	126	15	this	this	DET
bae-3304	126	16	pmp	pmp	ADJ
bae-3304	126	17	approach	approach	NOUN
bae-3304	126	18	deals	deal	NOUN
bae-3304	126	19	with	with	ADP
bae-3304	126	20	the	the	DET
bae-3304	126	21	derivation	derivation	NOUN
bae-3304	126	22	of	of	ADP
bae-3304	126	23	output	output	NOUN
bae-3304	126	24	marginal	marginal	ADJ
bae-3304	126	25	cost	cost	NOUN
bae-3304	126	26	and	and	CCONJ
bae-3304	126	27	input	input	NOUN
bae-3304	126	28	demand	demand	NOUN
bae-3304	126	29	functions	function	NOUN
bae-3304	126	30	to	to	PART
bae-3304	126	31	be	be	AUX
bae-3304	126	32	used	use	VERB
bae-3304	126	33	in	in	ADP
bae-3304	126	34	a	a	DET
bae-3304	126	35	calibrating	calibrate	VERB
bae-3304	126	36	model	model	NOUN
bae-3304	126	37	for	for	ADP
bae-3304	126	38	the	the	DET
bae-3304	126	39	analysis	analysis	NOUN
bae-3304	126	40	of	of	ADP
bae-3304	126	41	various	various	ADJ
bae-3304	126	42	policy	policy	NOUN
bae-3304	126	43	scenarios	scenario	NOUN
bae-3304	126	44	.	.	PUNCT
bae-3304	127	1	following	follow	VERB
bae-3304	127	2	economic	economic	ADJ
bae-3304	127	3	theory	theory	NOUN
bae-3304	127	4	,	,	PUNCT
bae-3304	127	5	we	we	PRON
bae-3304	127	6	postulate	postulate	VERB
bae-3304	127	7	that	that	SCONJ
bae-3304	127	8	the	the	DET
bae-3304	127	9	total	total	ADJ
bae-3304	127	10	cost	cost	NOUN
bae-3304	127	11	function	function	NOUN
bae-3304	127	12	of	of	ADP
bae-3304	127	13	interest	interest	NOUN
bae-3304	127	14	takes	take	VERB
bae-3304	127	15	on	on	ADP
bae-3304	127	16	the	the	DET
bae-3304	127	17	following	follow	VERB
bae-3304	127	18	symmetric	symmetric	ADJ
bae-3304	127	19	and	and	CCONJ
bae-3304	127	20	extended	extend	VERB
bae-3304	127	21	leontief	leontief	ADJ
bae-3304	127	22	specification	specification	NOUN
bae-3304	127	23	:	:	PUNCT
bae-3304	127	24	c(x	c(x	NOUN
bae-3304	127	25	,	,	PUNCT
bae-3304	127	26	y	y	NOUN
bae-3304	127	27	)	)	PUNCT
bae-3304	127	28	=	=	SYM
bae-3304	127	29	(	(	PUNCT
bae-3304	127	30	g’y)(f	g’y)(f	ADP
bae-3304	127	31	’	'	PUNCT
bae-3304	127	32	x	x	SYM
bae-3304	127	33	)	)	PUNCT
bae-3304	128	1	+	+	CCONJ
bae-3304	128	2	(	(	PUNCT
bae-3304	128	3	g’y)x’qx/2	g’y)x’qx/2	NOUN
bae-3304	128	4	+	+	CCONJ
bae-3304	128	5	(	(	PUNCT
bae-3304	128	6	f	f	X
bae-3304	128	7	’	'	PUNCT
bae-3304	128	8	x)[(y1/2)’gy1/2	x)[(y1/2)’gy1/2	PROPN
bae-3304	128	9	]	]	X
bae-3304	128	10	(	(	PUNCT
bae-3304	128	11	30	30	NUM
bae-3304	128	12	)	)	PUNCT
bae-3304	128	13	where	where	SCONJ
bae-3304	128	14	the	the	DET
bae-3304	128	15	(	(	PUNCT
bae-3304	128	16	j×j	j×j	NOUN
bae-3304	128	17	)	)	PUNCT
bae-3304	128	18	matrix	matrix	NOUN
bae-3304	128	19	q	q	NOUN
bae-3304	128	20	is	be	AUX
bae-3304	128	21	symmetric	symmetric	ADJ
bae-3304	128	22	and	and	CCONJ
bae-3304	128	23	positive	positive	ADJ
bae-3304	128	24	definite	definite	ADJ
bae-3304	128	25	,	,	PUNCT
bae-3304	128	26	the	the	DET
bae-3304	128	27	(	(	PUNCT
bae-3304	128	28	i×i	i×i	PROPN
bae-3304	128	29	)	)	PUNCT
bae-3304	128	30	matrix	matrix	NOUN
bae-3304	128	31	g	g	NOUN
bae-3304	128	32	has	have	VERB
bae-3304	128	33	elements	element	NOUN
bae-3304	128	34	gi	gi	NOUN
bae-3304	128	35	,	,	PUNCT
bae-3304	128	36	i	i	PRON
bae-3304	128	37	’	'	PUNCT
bae-3304	128	38	=	=	SYM
bae-3304	128	39	gi’,i	gi’,i	X
bae-3304	128	40	≥	≥	NOUN
bae-3304	128	41	0	0	NUM
bae-3304	128	42	,	,	PUNCT
bae-3304	128	43	i≠i	i≠i	X
bae-3304	128	44	’	'	PUNCT
bae-3304	128	45	.	.	PUNCT
bae-3304	129	1	the	the	DET
bae-3304	129	2	elements	element	NOUN
bae-3304	129	3	gi	gi	VERB
bae-3304	129	4	,	,	PUNCT
bae-3304	129	5	i	i	PRON
bae-3304	129	6	can	can	AUX
bae-3304	129	7	take	take	VERB
bae-3304	129	8	on	on	ADP
bae-3304	129	9	positive	positive	ADJ
bae-3304	129	10	or	or	CCONJ
bae-3304	129	11	negative	negative	ADJ
bae-3304	129	12	values	value	NOUN
bae-3304	129	13	.	.	PUNCT
bae-3304	130	1	the	the	DET
bae-3304	130	2	components	component	NOUN
bae-3304	130	3	of	of	ADP
bae-3304	130	4	vectors	vector	NOUN
bae-3304	130	5	f	f	PROPN
bae-3304	130	6	and	and	CCONJ
bae-3304	130	7	g	g	PROPN
bae-3304	130	8	are	be	AUX
bae-3304	130	9	free	free	ADJ
bae-3304	130	10	to	to	PART
bae-3304	130	11	take	take	VERB
bae-3304	130	12	on	on	ADP
bae-3304	130	13	any	any	DET
bae-3304	130	14	value	value	NOUN
bae-3304	130	15	.	.	PUNCT
bae-3304	131	1	we	we	PRON
bae-3304	131	2	require	require	VERB
bae-3304	131	3	,	,	PUNCT
bae-3304	131	4	however	however	ADV
bae-3304	131	5	,	,	PUNCT
bae-3304	131	6	that	that	SCONJ
bae-3304	131	7	f	f	PRON
bae-3304	131	8	’	'	PUNCT
bae-3304	131	9	x	x	SYM
bae-3304	131	10	>	>	X
bae-3304	131	11	0	0	PUNCT
bae-3304	131	12	and	and	CCONJ
bae-3304	131	13	g’y	g’y	PROPN
bae-3304	131	14	>	>	X
bae-3304	132	1	0	0	X
bae-3304	132	2	.	.	PUNCT
bae-3304	133	1	from	from	ADP
bae-3304	133	2	theory	theory	NOUN
bae-3304	133	3	,	,	PUNCT
bae-3304	133	4	a	a	DET
bae-3304	133	5	cost	cost	NOUN
bae-3304	133	6	function	function	NOUN
bae-3304	133	7	is	be	AUX
bae-3304	133	8	non	non	ADJ
bae-3304	133	9	-	-	ADJ
bae-3304	133	10	decreasing	decrease	VERB
bae-3304	133	11	in	in	ADP
bae-3304	133	12	output	output	NOUN
bae-3304	133	13	levels	level	NOUN
bae-3304	133	14	and	and	CCONJ
bae-3304	133	15	input	input	NOUN
bae-3304	133	16	prices	price	NOUN
bae-3304	133	17	and	and	CCONJ
bae-3304	133	18	,	,	PUNCT
bae-3304	133	19	furthermore	furthermore	ADV
bae-3304	133	20	,	,	PUNCT
bae-3304	133	21	it	it	PRON
bae-3304	133	22	is	be	AUX
bae-3304	133	23	homogeneous	homogeneous	ADJ
bae-3304	133	24	of	of	ADP
bae-3304	133	25	degree	degree	NOUN
bae-3304	133	26	one	one	NUM
bae-3304	133	27	in	in	ADP
bae-3304	133	28	input	input	NOUN
bae-3304	133	29	prices	price	NOUN
bae-3304	133	30	.	.	PUNCT
bae-3304	134	1	this	this	DET
bae-3304	134	2	requirements	requirement	NOUN
bae-3304	134	3	drive	drive	VERB
bae-3304	134	4	to	to	ADP
bae-3304	134	5	a	a	DET
bae-3304	134	6	large	large	ADJ
bae-3304	134	7	extent	extent	NOUN
bae-3304	134	8	the	the	DET
bae-3304	134	9	specification	specification	NOUN
bae-3304	134	10	of	of	ADP
bae-3304	134	11	the	the	DET
bae-3304	134	12	cost	cost	NOUN
bae-3304	134	13	function	function	NOUN
bae-3304	134	14	presented	present	VERB
bae-3304	134	15	in	in	ADP
bae-3304	134	16	relation	relation	NOUN
bae-3304	134	17	(	(	PUNCT
bae-3304	134	18	30	30	NUM
bae-3304	134	19	)	)	PUNCT
bae-3304	134	20	.	.	PUNCT
bae-3304	135	1	the	the	DET
bae-3304	135	2	vector	vector	NOUN
bae-3304	135	3	of	of	ADP
bae-3304	135	4	output	output	NOUN
bae-3304	135	5	marginal	marginal	ADJ
bae-3304	135	6	cost	cost	NOUN
bae-3304	135	7	functions	function	NOUN
bae-3304	135	8	is	be	AUX
bae-3304	135	9	stated	state	VERB
bae-3304	135	10	as	as	ADP
bae-3304	135	11	mcx	mcx	PROPN
bae-3304	135	12	=	=	SYM
bae-3304	135	13	∂c	∂c	PROPN
bae-3304	135	14	∂x	∂x	PROPN
bae-3304	135	15	=	=	SYM
bae-3304	135	16	(	(	PUNCT
bae-3304	135	17	g'y	g'y	PROPN
bae-3304	135	18	)	)	PUNCT
bae-3304	135	19	f	f	PROPN
bae-3304	136	1	+	+	PROPN
bae-3304	136	2	(	(	PUNCT
bae-3304	136	3	g'y)qx+	g'y)qx+	NOUN
bae-3304	136	4	f	f	PROPN
bae-3304	137	1	[	[	X
bae-3304	137	2	(	(	PUNCT
bae-3304	137	3	y1/2	y1/2	NOUN
bae-3304	137	4	)	)	PUNCT
bae-3304	137	5	́gy1/2]=	́gy1/2]=	NOUN
bae-3304	137	6	ʹa	ʹa	ADP
bae-3304	137	7	y+wh+c	y+wh+c	NOUN
bae-3304	137	8	(	(	PUNCT
bae-3304	137	9	31	31	NUM
bae-3304	137	10	)	)	PUNCT
bae-3304	137	11	while	while	SCONJ
bae-3304	137	12	,	,	PUNCT
bae-3304	137	13	by	by	ADP
bae-3304	137	14	shephard	shephard	PROPN
bae-3304	137	15	lemma	lemma	PROPN
bae-3304	137	16	,	,	PUNCT
bae-3304	137	17	the	the	DET
bae-3304	137	18	vector	vector	NOUN
bae-3304	137	19	of	of	ADP
bae-3304	137	20	demand	demand	NOUN
bae-3304	137	21	functions	function	NOUN
bae-3304	137	22	for	for	ADP
bae-3304	137	23	inputs	input	NOUN
bae-3304	137	24	is	be	AUX
bae-3304	137	25	stated	state	VERB
bae-3304	137	26	as	as	ADP
bae-3304	137	27	∂c	∂c	PROPN
bae-3304	137	28	∂y	∂y	NOUN
bae-3304	137	29	=	=	NOUN
bae-3304	137	30	(	(	PUNCT
bae-3304	137	31	f'x)g	f'x)g	NOUN
bae-3304	137	32	+	+	CCONJ
bae-3304	137	33	g(x'qx)/	g(x'qx)/	NOUN
bae-3304	137	34	2	2	NUM
bae-3304	137	35	+	+	ADJ
bae-3304	137	36	(	(	PUNCT
bae-3304	137	37	f'x)δ(y−1/2	f'x)δ(y−1/2	NOUN
bae-3304	137	38	)	)	PUNCT
bae-3304	137	39	́gy1/2	́gy1/2	PROPN
bae-3304	138	1	=	=	NOUN
bae-3304	138	2	ax	ax	NOUN
bae-3304	138	3	(	(	PUNCT
bae-3304	138	4	32	32	NUM
bae-3304	138	5	)	)	PUNCT
bae-3304	138	6	where	where	SCONJ
bae-3304	138	7	the	the	DET
bae-3304	138	8	matrix	matrix	NOUN
bae-3304	138	9	∆(y-1/2	∆(y-1/2	NOUN
bae-3304	138	10	)	)	PUNCT
bae-3304	138	11	is	be	AUX
bae-3304	138	12	diagonal	diagonal	ADJ
bae-3304	138	13	with	with	ADP
bae-3304	138	14	terms	term	NOUN
bae-3304	138	15	yi	yi	PRON
bae-3304	138	16	−1/2	−1/2	VERB
bae-3304	138	17	on	on	ADP
bae-3304	138	18	the	the	DET
bae-3304	138	19	main	main	ADJ
bae-3304	138	20	diagonal	diagonal	NOUN
bae-3304	138	21	.	.	PUNCT
bae-3304	139	1	the	the	DET
bae-3304	139	2	vector	vector	NOUN
bae-3304	139	3	of	of	ADP
bae-3304	139	4	output	output	NOUN
bae-3304	139	5	supply	supply	NOUN
bae-3304	139	6	functions	function	NOUN
bae-3304	139	7	comes	come	VERB
bae-3304	139	8	from	from	ADP
bae-3304	139	9	relation	relation	NOUN
bae-3304	139	10	(	(	PUNCT
bae-3304	139	11	31	31	NUM
bae-3304	139	12	)	)	PUNCT
bae-3304	139	13	by	by	ADP
bae-3304	139	14	equating	equate	VERB
bae-3304	139	15	it	it	PRON
bae-3304	139	16	to	to	ADP
bae-3304	139	17	the	the	DET
bae-3304	139	18	vector	vector	NOUN
bae-3304	139	19	of	of	ADP
bae-3304	139	20	market	market	NOUN
bae-3304	139	21	output	output	NOUN
bae-3304	139	22	prices	price	NOUN
bae-3304	139	23	,	,	PUNCT
bae-3304	139	24	p	p	NOUN
bae-3304	139	25	and	and	CCONJ
bae-3304	139	26	inverting	invert	VERB
bae-3304	139	27	the	the	DET
bae-3304	139	28	marginal	marginal	ADJ
bae-3304	139	29	cost	cost	NOUN
bae-3304	139	30	function	function	NOUN
bae-3304	139	31	to	to	PART
bae-3304	139	32	obtain	obtain	VERB
bae-3304	139	33	x	x	X
bae-3304	139	34	=	=	PUNCT
bae-3304	139	35	-q-1f	-q-1f	PROPN
bae-3304	139	36	-q-1f[(y1/2)’gy1/2]/(g’y	-q-1f[(y1/2)’gy1/2]/(g’y	NUM
bae-3304	139	37	)	)	PUNCT
bae-3304	140	1	+	+	NUM
bae-3304	140	2	q-1p/(g’y	q-1p/(g’y	NOUN
bae-3304	140	3	)	)	PUNCT
bae-3304	140	4	(	(	PUNCT
bae-3304	140	5	33	33	NUM
bae-3304	140	6	)	)	PUNCT
bae-3304	140	7	that	that	PRON
bae-3304	140	8	leads	lead	VERB
bae-3304	140	9	to	to	ADP
bae-3304	140	10	the	the	DET
bae-3304	140	11	supply	supply	NOUN
bae-3304	140	12	elasticity	elasticity	NOUN
bae-3304	140	13	matrix	matrix	NOUN
bae-3304	140	14	η≡δ(p	η≡δ(p	NOUN
bae-3304	140	15	)	)	PUNCT
bae-3304	140	16	∂x	∂x	PROPN
bae-3304	140	17	∂p	∂p	PROPN
bae-3304	140	18	⎡	⎡	NOUN
bae-3304	140	19	⎣	⎣	ADJ
bae-3304	140	20	⎢	⎢	NOUN
bae-3304	140	21	⎤	⎤	NOUN
bae-3304	140	22	⎦	⎦	NOUN
bae-3304	140	23	⎥δ(x−1)=δ(p)q−1δ(x−1)/(g'y	⎥δ(x−1)=δ(p)q−1δ(x−1)/(g'y	NUM
bae-3304	140	24	)	)	PUNCT
bae-3304	140	25	(	(	PUNCT
bae-3304	140	26	34	34	NUM
bae-3304	140	27	)	)	PUNCT
bae-3304	140	28	where	where	SCONJ
bae-3304	140	29	matrices	matrix	NOUN
bae-3304	140	30	∆(p	∆(p	NOUN
bae-3304	140	31	)	)	PUNCT
bae-3304	140	32	and	and	CCONJ
bae-3304	140	33	∆(x-1	∆(x-1	NUM
bae-3304	140	34	)	)	PUNCT
bae-3304	140	35	are	be	AUX
bae-3304	140	36	diagonal	diagonal	ADJ
bae-3304	140	37	with	with	ADP
bae-3304	140	38	elements	element	NOUN
bae-3304	140	39	pj	pj	PROPN
bae-3304	140	40	and	and	CCONJ
bae-3304	140	41	xj	xj	PROPN
bae-3304	140	42	-1	-1	PROPN
bae-3304	140	43	,	,	PUNCT
bae-3304	140	44	respectively	respectively	ADV
bae-3304	140	45	,	,	PUNCT
bae-3304	140	46	on	on	ADP
bae-3304	140	47	the	the	DET
bae-3304	140	48	main	main	ADJ
bae-3304	140	49	diagonals	diagonal	NOUN
bae-3304	140	50	.	.	PUNCT
bae-3304	141	1	relation	relation	NOUN
bae-3304	141	2	(	(	PUNCT
bae-3304	141	3	34	34	NUM
bae-3304	141	4	)	)	PUNCT
bae-3304	141	5	includes	include	VERB
bae-3304	141	6	all	all	DET
bae-3304	141	7	the	the	DET
bae-3304	141	8	ownand	ownand	NOUN
bae-3304	141	9	cross	cross	ADJ
bae-3304	141	10	-	-	ADJ
bae-3304	141	11	price	price	ADJ
bae-3304	141	12	elasticities	elasticity	NOUN
bae-3304	141	13	for	for	ADP
bae-3304	141	14	all	all	DET
bae-3304	141	15	the	the	DET
bae-3304	141	16	output	output	NOUN
bae-3304	141	17	commodities	commodity	NOUN
bae-3304	141	18	admitted	admit	VERB
bae-3304	141	19	in	in	ADP
bae-3304	141	20	the	the	DET
bae-3304	141	21	model	model	NOUN
bae-3304	141	22	.	.	PUNCT
bae-3304	142	1	the	the	DET
bae-3304	142	2	demand	demand	NOUN
bae-3304	142	3	elasticities	elasticity	NOUN
bae-3304	142	4	of	of	ADP
bae-3304	142	5	limiting	limit	VERB
bae-3304	142	6	inputs	input	NOUN
bae-3304	142	7	can	can	AUX
bae-3304	142	8	be	be	AUX
bae-3304	142	9	easily	easily	ADV
bae-3304	142	10	measured	measure	VERB
bae-3304	142	11	from	from	ADP
bae-3304	142	12	the	the	DET
bae-3304	142	13	input	input	NOUN
bae-3304	142	14	demand	demand	NOUN
bae-3304	142	15	functions	function	NOUN
bae-3304	142	16	of	of	ADP
bae-3304	142	17	relation	relation	NOUN
bae-3304	142	18	(	(	PUNCT
bae-3304	142	19	32	32	NUM
bae-3304	142	20	)	)	PUNCT
bae-3304	142	21	.	.	PUNCT
bae-3304	143	1	suppose	suppose	VERB
bae-3304	143	2	two	two	NUM
bae-3304	143	3	limiting	limit	VERB
bae-3304	143	4	inputs	input	NOUN
bae-3304	143	5	form	form	VERB
bae-3304	143	6	the	the	DET
bae-3304	143	7	structural	structural	ADJ
bae-3304	143	8	constraints	constraint	NOUN
bae-3304	143	9	of	of	ADP
bae-3304	143	10	the	the	DET
bae-3304	143	11	model	model	NOUN
bae-3304	143	12	.	.	PUNCT
bae-3304	144	1	then	then	ADV
bae-3304	144	2	,	,	PUNCT
bae-3304	144	3	the	the	DET
bae-3304	144	4	portion	portion	NOUN
bae-3304	144	5	of	of	ADP
bae-3304	144	6	the	the	DET
bae-3304	144	7	demand	demand	NOUN
bae-3304	144	8	function	function	NOUN
bae-3304	144	9	that	that	PRON
bae-3304	144	10	involves	involve	VERB
bae-3304	144	11	input	input	NOUN
bae-3304	144	12	prices	price	NOUN
bae-3304	144	13	can	can	AUX
bae-3304	144	14	be	be	AUX
bae-3304	144	15	stated	state	VERB
bae-3304	144	16	as	as	ADP
bae-3304	144	17	25cost	25cost	NUM
bae-3304	144	18	function	function	NOUN
bae-3304	144	19	and	and	CCONJ
bae-3304	144	20	positive	positive	ADJ
bae-3304	144	21	mathematical	mathematical	ADJ
bae-3304	144	22	programming	programming	NOUN
bae-3304	144	23	b1	b1	NOUN
bae-3304	144	24	+	+	CCONJ
bae-3304	144	25	u1	u1	NOUN
bae-3304	144	26	=	=	SYM
bae-3304	144	27	k1	k1	PROPN
bae-3304	144	28	+	+	CCONJ
bae-3304	144	29	(	(	PUNCT
bae-3304	144	30	f	f	NOUN
bae-3304	144	31	’	'	PUNCT
bae-3304	144	32	x)[g11	x)[g11	PUNCT
bae-3304	145	1	+	+	NUM
bae-3304	145	2	y1	y1	INTJ
bae-3304	145	3	-1/2g12y2	-1/2g12y2	SYM
bae-3304	145	4	1/2	1/2	NUM
bae-3304	145	5	]	]	PUNCT
bae-3304	145	6	(	(	PUNCT
bae-3304	145	7	35)b2	35)b2	X
bae-3304	145	8	+	+	CCONJ
bae-3304	145	9	u2	u2	PROPN
bae-3304	145	10	=	=	PUNCT
bae-3304	145	11	k2	k2	PROPN
bae-3304	145	12	+	+	CCONJ
bae-3304	145	13	(	(	PUNCT
bae-3304	145	14	f	f	NOUN
bae-3304	145	15	’	'	PUNCT
bae-3304	145	16	x)[g22	x)[g22	PUNCT
bae-3304	146	1	+	+	PUNCT
bae-3304	146	2	y1	y1	INTJ
bae-3304	146	3	1/2g12y2	1/2g12y2	NUM
bae-3304	146	4	-1/2	-1/2	NOUN
bae-3304	146	5	]	]	PUNCT
bae-3304	146	6	where	where	SCONJ
bae-3304	146	7	k1	k1	NOUN
bae-3304	146	8	and	and	CCONJ
bae-3304	146	9	k2	k2	PROPN
bae-3304	146	10	do	do	AUX
bae-3304	146	11	not	not	PART
bae-3304	146	12	involve	involve	VERB
bae-3304	146	13	input	input	NOUN
bae-3304	146	14	prices	price	NOUN
bae-3304	146	15	.	.	PUNCT
bae-3304	147	1	the	the	DET
bae-3304	147	2	matrix	matrix	NOUN
bae-3304	147	3	of	of	ADP
bae-3304	147	4	derivatives	derivative	NOUN
bae-3304	147	5	of	of	ADP
bae-3304	147	6	the	the	DET
bae-3304	147	7	demand	demand	NOUN
bae-3304	147	8	functions	function	NOUN
bae-3304	147	9	results	result	NOUN
bae-3304	147	10	in	in	ADP
bae-3304	147	11	∂(b1+u1	∂(b1+u1	PROPN
bae-3304	147	12	)	)	PUNCT
bae-3304	147	13	∂y1	∂y1	PROPN
bae-3304	147	14	∂(b1+u1	∂(b1+u1	PROPN
bae-3304	147	15	)	)	PUNCT
bae-3304	147	16	∂y2	∂y2	ADJ
bae-3304	147	17	∂(b2	∂(b2	PROPN
bae-3304	147	18	+	+	NOUN
bae-3304	147	19	u2	u2	PROPN
bae-3304	147	20	)	)	PUNCT
bae-3304	147	21	∂y1	∂y1	PROPN
bae-3304	147	22	∂(b2	∂(b2	PROPN
bae-3304	147	23	+	+	PROPN
bae-3304	147	24	u2	u2	PROPN
bae-3304	147	25	)	)	PUNCT
bae-3304	147	26	∂y2	∂y2	NOUN
bae-3304	147	27	⎡	⎡	VERB
bae-3304	147	28	⎣	⎣	ADJ
bae-3304	147	29	⎢	⎢	NOUN
bae-3304	147	30	⎢	⎢	NOUN
bae-3304	147	31	⎢	⎢	NOUN
bae-3304	147	32	⎢	⎢	NOUN
bae-3304	147	33	⎢	⎢	NOUN
bae-3304	147	34	⎤	⎤	PROPN
bae-3304	147	35	⎦	⎦	NUM
bae-3304	147	36	⎥	⎥	PROPN
bae-3304	147	37	⎥	⎥	PROPN
bae-3304	147	38	⎥	⎥	PROPN
bae-3304	147	39	⎥	⎥	PROPN
bae-3304	147	40	⎥	⎥	PROPN
bae-3304	148	1	=	=	PUNCT
bae-3304	149	1	−	−	PROPN
bae-3304	149	2	1	1	NUM
bae-3304	149	3	2	2	NUM
bae-3304	149	4	y1	y1	NOUN
bae-3304	149	5	−3/2g12y2	−3/2g12y2	NUM
bae-3304	149	6	1/2	1/2	NUM
bae-3304	149	7	1	1	NUM
bae-3304	149	8	2	2	NUM
bae-3304	149	9	y1	y1	NOUN
bae-3304	149	10	−1/2g12y2	−1/2g12y2	PUNCT
bae-3304	149	11	−1/2	−1/2	VERB
bae-3304	149	12	1	1	NUM
bae-3304	149	13	2	2	NUM
bae-3304	149	14	y1	y1	NOUN
bae-3304	149	15	−1/2g12y2	−1/2g12y2	PUNCT
bae-3304	149	16	−1/2	−1/2	VERB
bae-3304	149	17	−	−	NUM
bae-3304	149	18	1	1	NUM
bae-3304	149	19	2	2	NUM
bae-3304	149	20	y1	y1	NOUN
bae-3304	149	21	1/2g12y2	1/2g12y2	NUM
bae-3304	149	22	−3/2	−3/2	NOUN
bae-3304	149	23	⎡	⎡	VERB
bae-3304	149	24	⎣	⎣	ADJ
bae-3304	149	25	⎢	⎢	NOUN
bae-3304	149	26	⎢	⎢	NOUN
bae-3304	149	27	⎢	⎢	NOUN
bae-3304	149	28	⎢	⎢	NOUN
bae-3304	149	29	⎤	⎤	PROPN
bae-3304	149	30	⎦	⎦	NUM
bae-3304	149	31	⎥	⎥	PROPN
bae-3304	149	32	⎥	⎥	PROPN
bae-3304	149	33	⎥	⎥	PROPN
bae-3304	149	34	⎥	⎥	PROPN
bae-3304	149	35	(	(	PUNCT
bae-3304	149	36	f'x	f'x	PROPN
bae-3304	149	37	)	)	PUNCT
bae-3304	149	38	(	(	PUNCT
bae-3304	149	39	36	36	NUM
bae-3304	149	40	)	)	PUNCT
bae-3304	149	41	this	this	PRON
bae-3304	149	42	means	mean	VERB
bae-3304	149	43	that	that	SCONJ
bae-3304	149	44	with	with	ADP
bae-3304	149	45	only	only	ADV
bae-3304	149	46	one	one	NUM
bae-3304	149	47	limiting	limit	VERB
bae-3304	149	48	input	input	NOUN
bae-3304	149	49	,	,	PUNCT
bae-3304	149	50	its	its	PRON
bae-3304	149	51	demand	demand	NOUN
bae-3304	149	52	elasticity	elasticity	NOUN
bae-3304	149	53	will	will	AUX
bae-3304	149	54	be	be	AUX
bae-3304	149	55	equal	equal	ADJ
bae-3304	149	56	to	to	ADP
bae-3304	149	57	zero	zero	NUM
bae-3304	149	58	(	(	PUNCT
bae-3304	149	59	as	as	ADP
bae-3304	149	60	in	in	ADP
bae-3304	149	61	a	a	DET
bae-3304	149	62	leontief	leontief	ADJ
bae-3304	149	63	fixed	fix	VERB
bae-3304	149	64	coefficient	coefficient	NOUN
bae-3304	149	65	specification	specification	NOUN
bae-3304	149	66	)	)	PUNCT
bae-3304	149	67	since	since	SCONJ
bae-3304	149	68	the	the	DET
bae-3304	149	69	term	term	NOUN
bae-3304	149	70	g11	g11	NOUN
bae-3304	149	71	drops	drop	VERB
bae-3304	149	72	out	out	ADP
bae-3304	149	73	of	of	ADP
bae-3304	149	74	the	the	DET
bae-3304	149	75	derivative	derivative	NOUN
bae-3304	149	76	in	in	ADP
bae-3304	149	77	(	(	PUNCT
bae-3304	149	78	36	36	NUM
bae-3304	149	79	)	)	PUNCT
bae-3304	149	80	.	.	PUNCT
bae-3304	150	1	an	an	DET
bae-3304	150	2	intuitive	intuitive	ADJ
bae-3304	150	3	idea	idea	NOUN
bae-3304	150	4	of	of	ADP
bae-3304	150	5	how	how	SCONJ
bae-3304	150	6	the	the	DET
bae-3304	150	7	estimated	estimate	VERB
bae-3304	150	8	production	production	NOUN
bae-3304	150	9	plan	plan	NOUN
bae-3304	150	10	x̂	x̂	PUNCT
bae-3304	150	11	lies	lie	VERB
bae-3304	150	12	on	on	ADP
bae-3304	150	13	the	the	DET
bae-3304	150	14	cost	cost	NOUN
bae-3304	150	15	function	function	NOUN
bae-3304	150	16	(	(	PUNCT
bae-3304	150	17	30	30	NUM
bae-3304	150	18	)	)	PUNCT
bae-3304	150	19	is	be	AUX
bae-3304	150	20	illustrated	illustrate	VERB
bae-3304	150	21	in	in	ADP
bae-3304	150	22	figure	figure	NOUN
bae-3304	150	23	1	1	NUM
bae-3304	150	24	.	.	PUNCT
bae-3304	150	25	for	for	ADP
bae-3304	150	26	simplicity	simplicity	NOUN
bae-3304	150	27	,	,	PUNCT
bae-3304	150	28	given	give	VERB
bae-3304	150	29	two	two	NUM
bae-3304	150	30	outputs	output	NOUN
bae-3304	150	31	(	(	PUNCT
bae-3304	150	32	x1,x2	x1,x2	PROPN
bae-3304	150	33	)	)	PUNCT
bae-3304	150	34	and	and	CCONJ
bae-3304	150	35	two	two	NUM
bae-3304	150	36	inputs	input	NOUN
bae-3304	150	37	(	(	PUNCT
bae-3304	150	38	b1,b2	b1,b2	PROPN
bae-3304	150	39	)	)	PUNCT
bae-3304	150	40	,	,	PUNCT
bae-3304	150	41	figure	figure	NOUN
bae-3304	150	42	1	1	NUM
bae-3304	150	43	shows	show	VERB
bae-3304	150	44	the	the	DET
bae-3304	150	45	transformation	transformation	NOUN
bae-3304	150	46	possibility	possibility	NOUN
bae-3304	150	47	set	set	NOUN
bae-3304	150	48	,	,	PUNCT
bae-3304	150	49	tps	tps	NOUN
bae-3304	150	50	,	,	PUNCT
bae-3304	150	51	defined	define	VERB
bae-3304	150	52	by	by	ADP
bae-3304	150	53	two	two	NUM
bae-3304	150	54	linear	linear	ADJ
bae-3304	150	55	constraints	constraint	NOUN
bae-3304	150	56	involving	involve	VERB
bae-3304	150	57	the	the	DET
bae-3304	150	58	known	know	VERB
bae-3304	150	59	levels	level	NOUN
bae-3304	150	60	of	of	ADP
bae-3304	150	61	inputs	input	NOUN
bae-3304	150	62	b1	b1	NOUN
bae-3304	150	63	and	and	CCONJ
bae-3304	150	64	b2	b2	NOUN
bae-3304	150	65	.	.	PUNCT
bae-3304	151	1	assuming	assume	VERB
bae-3304	151	2	that	that	SCONJ
bae-3304	151	3	the	the	DET
bae-3304	151	4	production	production	NOUN
bae-3304	151	5	plan	plan	NOUN
bae-3304	151	6	x̂	x̂	PUNCT
bae-3304	151	7	maximizes	maximize	VERB
bae-3304	151	8	the	the	DET
bae-3304	151	9	farm	farm	NOUN
bae-3304	151	10	total	total	NOUN
bae-3304	151	11	revenue	revenue	NOUN
bae-3304	151	12	,	,	PUNCT
bae-3304	151	13	it	it	PRON
bae-3304	151	14	is	be	AUX
bae-3304	151	15	possible	possible	ADJ
bae-3304	151	16	to	to	PART
bae-3304	151	17	fit	fit	VERB
bae-3304	151	18	a	a	DET
bae-3304	151	19	cost	cost	NOUN
bae-3304	151	20	function	function	NOUN
bae-3304	151	21	c	c	NOUN
bae-3304	151	22	x	x	PUNCT
bae-3304	151	23	x	x	SYM
bae-3304	151	24	y	y	PROPN
bae-3304	151	25	y	y	PROPN
bae-3304	151	26	(	(	PUNCT
bae-3304	151	27	,	,	PUNCT
bae-3304	151	28	,	,	PUNCT
bae-3304	151	29	)	)	PUNCT
bae-3304	151	30	1	1	NUM
bae-3304	151	31	2	2	NUM
bae-3304	151	32	1	1	NUM
bae-3304	151	33	2	2	NUM
bae-3304	151	34	through	through	ADP
bae-3304	151	35	the	the	DET
bae-3304	151	36	point	point	NOUN
bae-3304	151	37	x̂	x̂	PUNCT
bae-3304	151	38	where	where	SCONJ
bae-3304	151	39	y	y	PROPN
bae-3304	151	40	y1	y1	PROPN
bae-3304	151	41	2	2	NUM
bae-3304	151	42	,	,	PUNCT
bae-3304	151	43	are	be	AUX
bae-3304	151	44	given	give	VERB
bae-3304	151	45	prices	price	NOUN
bae-3304	151	46	of	of	ADP
bae-3304	151	47	inputs	input	NOUN
bae-3304	151	48	b1	b1	NOUN
bae-3304	151	49	and	and	CCONJ
bae-3304	151	50	b2	b2	NOUN
bae-3304	151	51	.	.	PUNCT
bae-3304	152	1	the	the	DET
bae-3304	152	2	tps	tps	NOUN
bae-3304	152	3	is	be	AUX
bae-3304	152	4	in	in	ADP
bae-3304	152	5	general	general	ADJ
bae-3304	152	6	a	a	DET
bae-3304	152	7	convex	convex	NOUN
bae-3304	152	8	set	set	NOUN
bae-3304	152	9	that	that	PRON
bae-3304	152	10	is	be	AUX
bae-3304	152	11	limited	limit	VERB
bae-3304	152	12	by	by	ADP
bae-3304	152	13	known	know	VERB
bae-3304	152	14	levels	level	NOUN
bae-3304	152	15	of	of	ADP
bae-3304	152	16	inputs	input	NOUN
bae-3304	152	17	b1	b1	NOUN
bae-3304	152	18	and	and	CCONJ
bae-3304	152	19	b2	b2	NOUN
bae-3304	152	20	.	.	PUNCT
bae-3304	153	1	hence	hence	ADV
bae-3304	153	2	,	,	PUNCT
bae-3304	153	3	the	the	DET
bae-3304	153	4	production	production	NOUN
bae-3304	153	5	plan	plan	NOUN
bae-3304	153	6	x̂	x̂	PUNCT
bae-3304	153	7	must	must	AUX
bae-3304	153	8	also	also	ADV
bae-3304	153	9	be	be	AUX
bae-3304	153	10	on	on	ADP
bae-3304	153	11	the	the	DET
bae-3304	153	12	boundary	boundary	NOUN
bae-3304	153	13	of	of	ADP
bae-3304	153	14	the	the	DET
bae-3304	153	15	true	true	ADJ
bae-3304	153	16	tps(b1,b2	tps(b1,b2	NOUN
bae-3304	153	17	)	)	PUNCT
bae-3304	153	18	no	no	ADV
bae-3304	153	19	matter	matter	ADV
bae-3304	153	20	what	what	PRON
bae-3304	153	21	is	be	AUX
bae-3304	153	22	the	the	DET
bae-3304	153	23	underlying	underlie	VERB
bae-3304	153	24	technology	technology	NOUN
bae-3304	153	25	corresponding	correspond	VERB
bae-3304	153	26	to	to	ADP
bae-3304	153	27	the	the	DET
bae-3304	153	28	cost	cost	NOUN
bae-3304	153	29	function	function	NOUN
bae-3304	153	30	c	c	NOUN
bae-3304	153	31	x	x	PUNCT
bae-3304	153	32	x	x	SYM
bae-3304	153	33	y	y	PROPN
bae-3304	153	34	y	y	PROPN
bae-3304	153	35	(	(	PUNCT
bae-3304	153	36	,	,	PUNCT
bae-3304	153	37	,	,	PUNCT
bae-3304	153	38	)	)	PUNCT
bae-3304	153	39	1	1	NUM
bae-3304	153	40	2	2	NUM
bae-3304	153	41	1	1	NUM
bae-3304	153	42	2	2	NUM
bae-3304	153	43	because	because	SCONJ
bae-3304	153	44	the	the	DET
bae-3304	153	45	true	true	ADJ
bae-3304	153	46	tps(b1,b2	tps(b1,b2	NOUN
bae-3304	153	47	)	)	PUNCT
bae-3304	153	48	is	be	AUX
bae-3304	153	49	defined	define	VERB
bae-3304	153	50	by	by	ADP
bae-3304	153	51	the	the	DET
bae-3304	153	52	same	same	ADJ
bae-3304	153	53	known	know	VERB
bae-3304	153	54	input	input	NOUN
bae-3304	153	55	levels	level	NOUN
bae-3304	153	56	b1	b1	VERB
bae-3304	153	57	and	and	CCONJ
bae-3304	153	58	b2	b2	NOUN
bae-3304	153	59	that	that	PRON
bae-3304	153	60	define	define	VERB
bae-3304	153	61	the	the	DET
bae-3304	153	62	tps	tps	NOUN
bae-3304	153	63	in	in	ADP
bae-3304	153	64	figure	figure	NOUN
bae-3304	153	65	1	1	NUM
bae-3304	153	66	and	and	CCONJ
bae-3304	153	67	must	must	AUX
bae-3304	153	68	go	go	VERB
bae-3304	153	69	through	through	ADP
bae-3304	153	70	the	the	DET
bae-3304	153	71	point	point	NOUN
bae-3304	153	72	x	x	PUNCT
bae-3304	153	73	x	x	X
bae-3304	153	74	xˆ	xˆ	X
bae-3304	153	75	(	(	PUNCT
bae-3304	153	76	ˆ	ˆ	NOUN
bae-3304	153	77	,	,	PUNCT
bae-3304	153	78	ˆ	ˆ	NOUN
bae-3304	153	79	)	)	PUNCT
bae-3304	153	80	1	1	NUM
bae-3304	153	81	2=	2=	NUM
bae-3304	153	82	figure	figure	NOUN
bae-3304	153	83	1	1	NUM
bae-3304	153	84	.	.	PUNCT
bae-3304	154	1	transformation	transformation	NOUN
bae-3304	154	2	possibility	possibility	NOUN
bae-3304	154	3	set	set	VERB
bae-3304	154	4	and	and	CCONJ
bae-3304	154	5	cost	cost	NOUN
bae-3304	154	6	function	function	NOUN
bae-3304	154	7	.	.	PUNCT
bae-3304	155	1	26	26	NUM
bae-3304	155	2	q.	q.	NOUN
bae-3304	155	3	paris	paris	PROPN
bae-3304	155	4	5	5	NUM
bae-3304	155	5	.	.	PUNCT
bae-3304	155	6	exogenous	exogenous	ADJ
bae-3304	155	7	and	and	CCONJ
bae-3304	155	8	disaggregated	disaggregate	VERB
bae-3304	155	9	output	output	NOUN
bae-3304	155	10	supply	supply	NOUN
bae-3304	155	11	elasticities	elasticity	NOUN
bae-3304	155	12	pmp	pmp	PROPN
bae-3304	155	13	has	have	AUX
bae-3304	155	14	been	be	AUX
bae-3304	155	15	applied	apply	VERB
bae-3304	155	16	frequently	frequently	ADV
bae-3304	155	17	to	to	PART
bae-3304	155	18	analyze	analyze	VERB
bae-3304	155	19	farmers	farmer	NOUN
bae-3304	155	20	’	’	PART
bae-3304	155	21	behavior	behavior	NOUN
bae-3304	155	22	to	to	PART
bae-3304	155	23	changes	change	NOUN
bae-3304	155	24	in	in	ADP
bae-3304	155	25	agricultural	agricultural	ADJ
bae-3304	155	26	policies	policy	NOUN
bae-3304	155	27	.	.	PUNCT
bae-3304	156	1	a	a	DET
bae-3304	156	2	typical	typical	ADJ
bae-3304	156	3	empirical	empirical	ADJ
bae-3304	156	4	setting	setting	NOUN
bae-3304	156	5	is	be	AUX
bae-3304	156	6	to	to	PART
bae-3304	156	7	map	map	VERB
bae-3304	156	8	out	out	ADP
bae-3304	156	9	several	several	ADJ
bae-3304	156	10	areas	area	NOUN
bae-3304	156	11	,	,	PUNCT
bae-3304	156	12	say	say	VERB
bae-3304	156	13	t	t	NOUN
bae-3304	156	14	areas	area	NOUN
bae-3304	156	15	,	,	PUNCT
bae-3304	156	16	in	in	ADP
bae-3304	156	17	a	a	DET
bae-3304	156	18	region	region	NOUN
bae-3304	156	19	(	(	PUNCT
bae-3304	156	20	or	or	CCONJ
bae-3304	156	21	state	state	NOUN
bae-3304	156	22	)	)	PUNCT
bae-3304	156	23	and	and	CCONJ
bae-3304	156	24	to	to	PART
bae-3304	156	25	assemble	assemble	VERB
bae-3304	156	26	a	a	DET
bae-3304	156	27	representative	representative	ADJ
bae-3304	156	28	farm	farm	NOUN
bae-3304	156	29	model	model	NOUN
bae-3304	156	30	for	for	ADP
bae-3304	156	31	each	each	DET
bae-3304	156	32	area	area	NOUN
bae-3304	156	33	(	(	PUNCT
bae-3304	156	34	or	or	CCONJ
bae-3304	156	35	to	to	PART
bae-3304	156	36	treat	treat	VERB
bae-3304	156	37	each	each	DET
bae-3304	156	38	area	area	NOUN
bae-3304	156	39	as	as	ADP
bae-3304	156	40	a	a	DET
bae-3304	156	41	large	large	ADJ
bae-3304	156	42	farm	farm	NOUN
bae-3304	156	43	)	)	PUNCT
bae-3304	156	44	.	.	PUNCT
bae-3304	157	1	when	when	SCONJ
bae-3304	157	2	supply	supply	NOUN
bae-3304	157	3	elasticities	elasticity	NOUN
bae-3304	157	4	are	be	AUX
bae-3304	157	5	exogenously	exogenously	ADV
bae-3304	157	6	available	available	ADJ
bae-3304	157	7	(	(	PUNCT
bae-3304	157	8	say	say	VERB
bae-3304	157	9	the	the	DET
bae-3304	157	10	own	own	ADJ
bae-3304	157	11	-	-	PUNCT
bae-3304	157	12	price	price	NOUN
bae-3304	157	13	elasticities	elasticity	NOUN
bae-3304	157	14	of	of	ADP
bae-3304	157	15	crops	crop	NOUN
bae-3304	157	16	)	)	PUNCT
bae-3304	157	17	at	at	ADP
bae-3304	157	18	the	the	DET
bae-3304	157	19	regional	regional	ADJ
bae-3304	157	20	(	(	PUNCT
bae-3304	157	21	or	or	CCONJ
bae-3304	157	22	state	state	NOUN
bae-3304	157	23	)	)	PUNCT
bae-3304	157	24	level	level	NOUN
bae-3304	157	25	(	(	PUNCT
bae-3304	157	26	via	via	ADP
bae-3304	157	27	econometric	econometric	ADJ
bae-3304	157	28	estimation	estimation	NOUN
bae-3304	157	29	or	or	CCONJ
bae-3304	157	30	other	other	ADJ
bae-3304	157	31	means	mean	NOUN
bae-3304	157	32	)	)	PUNCT
bae-3304	157	33	,	,	PUNCT
bae-3304	157	34	a	a	DET
bae-3304	157	35	connection	connection	NOUN
bae-3304	157	36	of	of	ADP
bae-3304	157	37	all	all	DET
bae-3304	157	38	area	area	NOUN
bae-3304	157	39	models	model	NOUN
bae-3304	157	40	with	with	ADP
bae-3304	157	41	these	these	DET
bae-3304	157	42	exogenous	exogenous	ADJ
bae-3304	157	43	elasticities	elasticity	NOUN
bae-3304	157	44	can	can	AUX
bae-3304	157	45	be	be	AUX
bae-3304	157	46	specified	specify	VERB
bae-3304	157	47	by	by	ADP
bae-3304	157	48	establishing	establish	VERB
bae-3304	157	49	a	a	DET
bae-3304	157	50	weighted	weighted	ADJ
bae-3304	157	51	sum	sum	NOUN
bae-3304	157	52	of	of	ADP
bae-3304	157	53	all	all	DET
bae-3304	157	54	the	the	DET
bae-3304	157	55	areas	area	NOUN
bae-3304	157	56	endogenous	endogenous	VERB
bae-3304	157	57	own	own	ADJ
bae-3304	157	58	-	-	PUNCT
bae-3304	157	59	price	price	NOUN
bae-3304	157	60	elasticities	elasticity	NOUN
bae-3304	157	61	and	and	CCONJ
bae-3304	157	62	the	the	DET
bae-3304	157	63	given	give	VERB
bae-3304	157	64	regional	regional	ADJ
bae-3304	157	65	elasticities	elasticity	NOUN
bae-3304	157	66	.	.	PUNCT
bae-3304	158	1	the	the	DET
bae-3304	158	2	weights	weight	NOUN
bae-3304	158	3	are	be	AUX
bae-3304	158	4	the	the	DET
bae-3304	158	5	share	share	NOUN
bae-3304	158	6	of	of	ADP
bae-3304	158	7	each	each	DET
bae-3304	158	8	area	area	NOUN
bae-3304	158	9	’s	’s	PART
bae-3304	158	10	revenue	revenue	NOUN
bae-3304	158	11	over	over	ADP
bae-3304	158	12	the	the	DET
bae-3304	158	13	total	total	ADJ
bae-3304	158	14	revenue	revenue	NOUN
bae-3304	158	15	of	of	ADP
bae-3304	158	16	the	the	DET
bae-3304	158	17	region	region	NOUN
bae-3304	158	18	.	.	PUNCT
bae-3304	159	1	let	let	VERB
bae-3304	159	2	us	we	PRON
bae-3304	159	3	suppose	suppose	VERB
bae-3304	159	4	that	that	SCONJ
bae-3304	159	5	exogenous	exogenous	ADJ
bae-3304	159	6	own	own	ADJ
bae-3304	159	7	-	-	PUNCT
bae-3304	159	8	price	price	NOUN
bae-3304	159	9	elasticities	elasticity	NOUN
bae-3304	159	10	of	of	ADP
bae-3304	159	11	supply	supply	NOUN
bae-3304	159	12	are	be	AUX
bae-3304	159	13	available	available	ADJ
bae-3304	159	14	at	at	ADP
bae-3304	159	15	the	the	DET
bae-3304	159	16	regional	regional	ADJ
bae-3304	159	17	level	level	NOUN
bae-3304	159	18	for	for	ADP
bae-3304	159	19	all	all	DET
bae-3304	159	20	the	the	DET
bae-3304	159	21	j	j	PROPN
bae-3304	159	22	crops	crop	NOUN
bae-3304	159	23	,	,	PUNCT
bae-3304	159	24	say	say	VERB
bae-3304	159	25	jη	jη	PROPN
bae-3304	159	26	,	,	PUNCT
bae-3304	159	27	j	j	PROPN
bae-3304	159	28	=	=	SYM
bae-3304	159	29	1,	1,	NUM
bae-3304	159	30	…	…	SYM
bae-3304	159	31	,j	,j	PUNCT
bae-3304	159	32	.	.	PUNCT
bae-3304	160	1	then	then	ADV
bae-3304	160	2	,	,	PUNCT
bae-3304	160	3	the	the	DET
bae-3304	160	4	relation	relation	NOUN
bae-3304	160	5	among	among	ADP
bae-3304	160	6	these	these	DET
bae-3304	160	7	exogenous	exogenous	ADJ
bae-3304	160	8	own	own	ADJ
bae-3304	160	9	-	-	PUNCT
bae-3304	160	10	price	price	NOUN
bae-3304	160	11	elasticities	elasticity	NOUN
bae-3304	160	12	and	and	CCONJ
bae-3304	160	13	the	the	DET
bae-3304	160	14	corresponding	corresponding	ADJ
bae-3304	160	15	areas	area	NOUN
bae-3304	160	16	’	'	PUNCT
bae-3304	160	17	elasticities	elasticity	NOUN
bae-3304	160	18	can	can	AUX
bae-3304	160	19	be	be	AUX
bae-3304	160	20	established	establish	VERB
bae-3304	160	21	as	as	ADP
bae-3304	160	22	a	a	DET
bae-3304	160	23	weighted	weighted	ADJ
bae-3304	160	24	sum	sum	NOUN
bae-3304	160	25	such	such	ADJ
bae-3304	160	26	as	as	ADP
bae-3304	160	27	wj	wj	PROPN
bae-3304	160	28	tj	tj	PROPN
bae-3304	160	29	tj	tj	PROPN
bae-3304	160	30	t	t	PROPN
bae-3304	160	31	t	t	PROPN
bae-3304	160	32	1	1	NUM
bae-3304	160	33	∑η	∑η	NOUN
bae-3304	160	34	η=	η=	NOUN
bae-3304	160	35	=	=	SYM
bae-3304	160	36	(	(	PUNCT
bae-3304	160	37	37	37	NUM
bae-3304	160	38	)	)	PUNCT
bae-3304	160	39	where	where	SCONJ
bae-3304	160	40	the	the	DET
bae-3304	160	41	weights	weight	NOUN
bae-3304	160	42	are	be	AUX
bae-3304	160	43	the	the	DET
bae-3304	160	44	areas	area	NOUN
bae-3304	160	45	’	’	PART
bae-3304	160	46	revenue	revenue	NOUN
bae-3304	160	47	shares	share	NOUN
bae-3304	160	48	in	in	ADP
bae-3304	160	49	the	the	DET
bae-3304	160	50	region	region	NOUN
bae-3304	160	51	(	(	PUNCT
bae-3304	160	52	state	state	NOUN
bae-3304	160	53	)	)	PUNCT
bae-3304	160	54	w	w	PROPN
bae-3304	161	1	p	p	NOUN
bae-3304	161	2	x	x	X
bae-3304	161	3	p	p	X
bae-3304	161	4	x	x	X
bae-3304	161	5	tj	tj	PROPN
bae-3304	161	6	tj	tj	PROPN
bae-3304	161	7	tj	tj	NOUN
bae-3304	161	8	sj	sj	PROPN
bae-3304	161	9	sj	sj	PROPN
bae-3304	161	10	s	s	PROPN
bae-3304	161	11	t	t	PROPN
bae-3304	161	12	1	1	NUM
bae-3304	161	13	∑	∑	PUNCT
bae-3304	161	14	=	=	SYM
bae-3304	161	15	=	=	SYM
bae-3304	161	16	(	(	PUNCT
bae-3304	161	17	38	38	NUM
bae-3304	161	18	)	)	PUNCT
bae-3304	161	19	and	and	CCONJ
bae-3304	161	20	ηtj	ηtj	NOUN
bae-3304	161	21	=	=	SYM
bae-3304	161	22	ptjqt	ptjqt	NOUN
bae-3304	161	23	jjxt	jjxt	VERB
bae-3304	161	24	-1/(g’t	-1/(g’t	PUNCT
bae-3304	161	25	yt	yt	NOUN
bae-3304	161	26	)	)	PUNCT
bae-3304	161	27	(	(	PUNCT
bae-3304	161	28	39	39	NUM
bae-3304	161	29	)	)	PUNCT
bae-3304	161	30	where	where	SCONJ
bae-3304	161	31	qt	qt	NOUN
bae-3304	161	32	jj	jj	PROPN
bae-3304	161	33	is	be	AUX
bae-3304	161	34	the	the	DET
bae-3304	161	35	jth	jth	PROPN
bae-3304	161	36	element	element	NOUN
bae-3304	161	37	on	on	ADP
bae-3304	161	38	the	the	DET
bae-3304	161	39	main	main	ADJ
bae-3304	161	40	diagonal	diagonal	NOUN
bae-3304	161	41	in	in	ADP
bae-3304	161	42	the	the	DET
bae-3304	161	43	inverse	inverse	NOUN
bae-3304	161	44	of	of	ADP
bae-3304	161	45	the	the	DET
bae-3304	161	46	qt	qt	NOUN
bae-3304	161	47	matrix	matrix	NOUN
bae-3304	161	48	.	.	PUNCT
bae-3304	162	1	6	6	X
bae-3304	162	2	.	.	X
bae-3304	162	3	estimation	estimation	NOUN
bae-3304	162	4	of	of	ADP
bae-3304	162	5	the	the	DET
bae-3304	162	6	cost	cost	NOUN
bae-3304	162	7	function	function	NOUN
bae-3304	162	8	parameters	parameter	NOUN
bae-3304	162	9	using	use	VERB
bae-3304	162	10	the	the	DET
bae-3304	162	11	optimal	optimal	ADJ
bae-3304	162	12	ls	ls	ADJ
bae-3304	162	13	solutions	solution	NOUN
bae-3304	162	14	of	of	ADP
bae-3304	162	15	x	x	PROPN
bae-3304	162	16	,	,	PUNCT
bae-3304	162	17	y	y	PROPN
bae-3304	162	18	,	,	PUNCT
bae-3304	162	19	h	h	NOUN
bae-3304	162	20	and	and	CCONJ
bae-3304	162	21	u	u	NOUN
bae-3304	162	22	for	for	ADP
bae-3304	162	23	each	each	PRON
bae-3304	162	24	of	of	ADP
bae-3304	162	25	the	the	DET
bae-3304	162	26	t	t	PROPN
bae-3304	162	27	areas	area	NOUN
bae-3304	162	28	,	,	PUNCT
bae-3304	162	29	x	x	PROPN
bae-3304	162	30	y	y	NOUN
bae-3304	162	31	hˆ	hˆ	PROPN
bae-3304	162	32	,	,	PUNCT
bae-3304	162	33	ˆ	ˆ	X
bae-3304	162	34	,	,	PUNCT
bae-3304	162	35	ˆ	ˆ	PROPN
bae-3304	162	36	t	t	PROPN
bae-3304	162	37	t	t	PROPN
bae-3304	162	38	t	t	PROPN
bae-3304	162	39	and	and	CCONJ
bae-3304	162	40	ût	ût	PROPN
bae-3304	162	41	obtained	obtain	VERB
bae-3304	162	42	from	from	ADP
bae-3304	162	43	solving	solve	VERB
bae-3304	162	44	phase	phase	NOUN
bae-3304	162	45	i	i	PRON
bae-3304	162	46	model	model	NOUN
bae-3304	162	47	(	(	PUNCT
bae-3304	162	48	20)-(23	20)-(23	NUM
bae-3304	162	49	)	)	PUNCT
bae-3304	162	50	,	,	PUNCT
bae-3304	162	51	it	it	PRON
bae-3304	162	52	is	be	AUX
bae-3304	162	53	possible	possible	ADJ
bae-3304	162	54	to	to	PART
bae-3304	162	55	proceed	proceed	VERB
bae-3304	162	56	to	to	ADP
bae-3304	162	57	the	the	DET
bae-3304	162	58	estimation	estimation	NOUN
bae-3304	162	59	of	of	ADP
bae-3304	162	60	parameters	parameter	NOUN
bae-3304	162	61	q	q	X
bae-3304	162	62	,	,	PUNCT
bae-3304	162	63	g	g	PROPN
bae-3304	162	64	,	,	PUNCT
bae-3304	162	65	f	f	PROPN
bae-3304	162	66	and	and	CCONJ
bae-3304	162	67	g	g	PROPN
bae-3304	162	68	of	of	ADP
bae-3304	162	69	the	the	DET
bae-3304	162	70	cost	cost	NOUN
bae-3304	162	71	function	function	NOUN
bae-3304	162	72	(	(	PUNCT
bae-3304	162	73	30	30	NUM
bae-3304	162	74	)	)	PUNCT
bae-3304	162	75	.	.	PUNCT
bae-3304	163	1	the	the	DET
bae-3304	163	2	programming	programming	NOUN
bae-3304	163	3	model	model	NOUN
bae-3304	163	4	that	that	PRON
bae-3304	163	5	executes	execute	VERB
bae-3304	163	6	the	the	DET
bae-3304	163	7	estimation	estimation	NOUN
bae-3304	163	8	of	of	ADP
bae-3304	163	9	the	the	DET
bae-3304	163	10	marginal	marginal	ADJ
bae-3304	163	11	cost	cost	NOUN
bae-3304	163	12	(	(	PUNCT
bae-3304	163	13	31	31	NUM
bae-3304	163	14	)	)	PUNCT
bae-3304	163	15	and	and	CCONJ
bae-3304	163	16	input	input	NOUN
bae-3304	163	17	demand	demand	NOUN
bae-3304	163	18	(	(	PUNCT
bae-3304	163	19	32	32	NUM
bae-3304	163	20	)	)	PUNCT
bae-3304	163	21	functions	function	NOUN
bae-3304	163	22	in	in	ADP
bae-3304	163	23	the	the	DET
bae-3304	163	24	presence	presence	NOUN
bae-3304	163	25	of	of	ADP
bae-3304	163	26	exogenous	exogenous	ADJ
bae-3304	163	27	supply	supply	NOUN
bae-3304	163	28	elasticities	elasticity	NOUN
bae-3304	163	29	for	for	ADP
bae-3304	163	30	a	a	DET
bae-3304	163	31	region	region	NOUN
bae-3304	163	32	(	(	PUNCT
bae-3304	163	33	state	state	NOUN
bae-3304	163	34	)	)	PUNCT
bae-3304	163	35	that	that	PRON
bae-3304	163	36	is	be	AUX
bae-3304	163	37	divided	divide	VERB
bae-3304	163	38	into	into	ADP
bae-3304	163	39	t	t	PROPN
bae-3304	163	40	areas	area	NOUN
bae-3304	163	41	takes	take	VERB
bae-3304	163	42	on	on	ADP
bae-3304	163	43	the	the	DET
bae-3304	163	44	following	follow	VERB
bae-3304	163	45	least	least	ADJ
bae-3304	163	46	-	-	PUNCT
bae-3304	163	47	squares	square	NOUN
bae-3304	163	48	specification	specification	NOUN
bae-3304	163	49	:	:	PUNCT
bae-3304	163	50	minls	minls	NOUN
bae-3304	163	51	=	=	SYM
bae-3304	163	52	(	(	PUNCT
bae-3304	163	53	dt	dt	X
bae-3304	163	54	ʹdt	ʹdt	NOUN
bae-3304	164	1	+	+	NOUN
bae-3304	164	2	rtʹrt	rtʹrt	NOUN
bae-3304	164	3	)	)	PUNCT
bae-3304	164	4	/	/	SYM
bae-3304	164	5	2	2	NUM
bae-3304	164	6	t=1	t=1	PROPN
bae-3304	164	7	t	t	PROPN
bae-3304	164	8	∑	∑	PROPN
bae-3304	164	9	(	(	PUNCT
bae-3304	164	10	40	40	NUM
bae-3304	164	11	)	)	PUNCT
bae-3304	164	12	subject	subject	NOUN
bae-3304	164	13	to	to	ADP
bae-3304	164	14	(	(	PUNCT
bae-3304	164	15	ʹg	ʹg	PROPN
bae-3304	164	16	t	t	PROPN
bae-3304	164	17	ŷt	ŷt	VERB
bae-3304	164	18	)	)	PUNCT
bae-3304	164	19	ft	ft	X
bae-3304	165	1	+	+	PROPN
bae-3304	165	2	(	(	PUNCT
bae-3304	165	3	ʹg	ʹg	PROPN
bae-3304	165	4	t	t	PROPN
bae-3304	165	5	ŷt	ŷt	VERB
bae-3304	165	6	)	)	PUNCT
bae-3304	165	7	qt	qt	NOUN
bae-3304	165	8	x̂t	x̂t	PUNCT
bae-3304	166	1	+	+	CCONJ
bae-3304	166	2	ft	ft	X
bae-3304	166	3	[	[	X
bae-3304	166	4	(	(	PUNCT
bae-3304	166	5	ŷt	ŷt	PROPN
bae-3304	166	6	1/2	1/2	NUM
bae-3304	166	7	)	)	PUNCT
bae-3304	167	1	'	'	PUNCT
bae-3304	167	2	gt	gt	PROPN
bae-3304	167	3	ŷt	ŷt	VERB
bae-3304	167	4	1/2]+dt	1/2]+dt	NUM
bae-3304	167	5	=	=	PUNCT
bae-3304	167	6	ʹat	ʹat	PROPN
bae-3304	167	7	'	'	PUNCT
bae-3304	167	8	ŷt	ŷt	VERB
bae-3304	167	9	+	+	NUM
bae-3304	167	10	wtĥt	wtĥt	NOUN
bae-3304	167	11	+	+	NOUN
bae-3304	167	12	ct	ct	PROPN
bae-3304	167	13	marginal	marginal	ADJ
bae-3304	167	14	cost	cost	NOUN
bae-3304	167	15	function	function	NOUN
bae-3304	167	16	(	(	PUNCT
bae-3304	167	17	ʹft	ʹft	NOUN
bae-3304	167	18	x̂t	x̂t	PUNCT
bae-3304	167	19	)	)	PUNCT
bae-3304	168	1	g	g	PROPN
bae-3304	168	2	t	t	PROPN
bae-3304	168	3	+	+	CCONJ
bae-3304	168	4	g	g	PROPN
bae-3304	168	5	t	t	PROPN
bae-3304	168	6	(	(	PUNCT
bae-3304	168	7	ˆʹxtqt	ˆʹxtqt	NOUN
bae-3304	168	8	x̂t	x̂t	PUNCT
bae-3304	168	9	)	)	PUNCT
bae-3304	168	10	/	/	SYM
bae-3304	169	1	2	2	NUM
bae-3304	169	2	+	+	ADJ
bae-3304	169	3	(	(	PUNCT
bae-3304	169	4	ʹft	ʹft	PROPN
bae-3304	169	5	x̂t	x̂t	PROPN
bae-3304	169	6	)	)	PUNCT
bae-3304	169	7	δ	δ	PROPN
bae-3304	169	8	(	(	PUNCT
bae-3304	169	9	ŷt	ŷt	VERB
bae-3304	169	10	−1/2	−1/2	ADJ
bae-3304	169	11	)	)	PUNCT
bae-3304	169	12	'	'	PUNCT
bae-3304	169	13	gt	gt	PROPN
bae-3304	169	14	ŷt	ŷt	VERB
bae-3304	169	15	1/2	1/2	NUM
bae-3304	170	1	+	+	NUM
bae-3304	170	2	rt	rt	NOUN
bae-3304	170	3	=	=	NOUN
bae-3304	170	4	at	at	ADP
bae-3304	170	5	x̂t	x̂t	PROPN
bae-3304	170	6	input	input	NOUN
bae-3304	170	7	demand	demand	NOUN
bae-3304	170	8	function	function	VERB
bae-3304	170	9	qt	qt	NOUN
bae-3304	170	10	=	=	SYM
bae-3304	170	11	ltdtlt	ltdtlt	PROPN
bae-3304	170	12	’	'	PUNCT
bae-3304	170	13	positive	positive	ADJ
bae-3304	170	14	semidefinitenes	semidefinitene	NOUN
bae-3304	170	15	of	of	ADP
bae-3304	170	16	qt	qt	PROPN
bae-3304	170	17	qt	qt	PROPN
bae-3304	170	18	qt	qt	NOUN
bae-3304	170	19	-1	-1	PUNCT
bae-3304	171	1	=	=	PUNCT
bae-3304	171	2	lt	lt	PRON
bae-3304	171	3	definiteness	definiteness	NOUN
bae-3304	171	4	of	of	ADP
bae-3304	171	5	qt	qt	NOUN
bae-3304	171	6	ηtjk	ηtjk	NOUN
bae-3304	171	7	=	=	NOUN
bae-3304	171	8	δ(ptj	δ(ptj	NOUN
bae-3304	171	9	)	)	PUNCT
bae-3304	171	10	qt	qt	ADP
bae-3304	171	11	jkδ(x̂tk	jkδ(x̂tk	PROPN
bae-3304	171	12	−1)/	−1)/	PROPN
bae-3304	171	13	(	(	PUNCT
bae-3304	171	14	ʹg	ʹg	PROPN
bae-3304	171	15	t	t	PROPN
bae-3304	171	16	ŷt	ŷt	VERB
bae-3304	171	17	)	)	PUNCT
bae-3304	171	18	endogenous	endogenous	ADJ
bae-3304	171	19	ownand	ownand	NOUN
bae-3304	171	20	cross	cross	ADJ
bae-3304	171	21	-	-	ADJ
bae-3304	171	22	supply	supply	ADJ
bae-3304	171	23	elasticities	elasticity	NOUN
bae-3304	171	24	27cost	27cost	NUM
bae-3304	171	25	function	function	NOUN
bae-3304	171	26	and	and	CCONJ
bae-3304	171	27	positive	positive	ADJ
bae-3304	171	28	mathematical	mathematical	ADJ
bae-3304	171	29	programming	programming	NOUN
bae-3304	171	30	w	w	PROPN
bae-3304	171	31	p	p	NOUN
bae-3304	171	32	x	x	X
bae-3304	171	33	p	p	X
bae-3304	171	34	x	x	NOUN
bae-3304	171	35	ˆ	ˆ	NOUN
bae-3304	171	36	ˆ	ˆ	NOUN
bae-3304	171	37	tj	tj	PROPN
bae-3304	171	38	tj	tj	PROPN
bae-3304	171	39	tj	tj	PROPN
bae-3304	171	40	sj	sj	PROPN
bae-3304	171	41	sjs	sjs	PROPN
bae-3304	171	42	t	t	PROPN
bae-3304	171	43	1∑	1∑	NUM
bae-3304	171	44	=	=	SYM
bae-3304	171	45	=	=	SYM
bae-3304	171	46	revenue	revenue	NOUN
bae-3304	171	47	shares	share	NOUN
bae-3304	171	48	ηtj	ηtj	NOUN
bae-3304	171	49	=	=	NOUN
bae-3304	171	50	ptjqt	ptjqt	NOUN
bae-3304	171	51	jj	jj	PROPN
bae-3304	171	52	x̂tj	x̂tj	PROPN
bae-3304	171	53	−1	−1	NOUN
bae-3304	171	54	/	/	SYM
bae-3304	171	55	(	(	PUNCT
bae-3304	171	56	ʹg	ʹg	PROPN
bae-3304	171	57	t	t	PROPN
bae-3304	171	58	ŷt	ŷt	VERB
bae-3304	171	59	)	)	PUNCT
bae-3304	171	60	endogenous	endogenous	ADJ
bae-3304	171	61	own	own	ADJ
bae-3304	171	62	supply	supply	NOUN
bae-3304	171	63	elasticities	elasticity	NOUN
bae-3304	171	64	η	η	PROPN
bae-3304	171	65	j	j	PROPN
bae-3304	171	66	=	=	PROPN
bae-3304	171	67	wtj	wtj	PROPN
bae-3304	171	68	t=1	t=1	PROPN
bae-3304	171	69	t	t	PROPN
bae-3304	171	70	∑	∑	ADV
bae-3304	171	71	ηtj	ηtj	NOUN
bae-3304	171	72	disaggregation	disaggregation	NOUN
bae-3304	171	73	of	of	ADP
bae-3304	171	74	exogenous	exogenous	ADJ
bae-3304	171	75	elasticities	elasticity	NOUN
bae-3304	171	76	with	with	ADP
bae-3304	171	77	dt	dt	PROPN
bae-3304	171	78	>	>	X
bae-3304	171	79	0	0	PROPN
bae-3304	171	80	,	,	PUNCT
bae-3304	171	81	gt	gt	PROPN
bae-3304	171	82	and	and	CCONJ
bae-3304	171	83	ft	ft	ADP
bae-3304	171	84	unrestricted	unrestricted	ADJ
bae-3304	171	85	parameters	parameter	NOUN
bae-3304	171	86	;	;	PUNCT
bae-3304	171	87	ftʹx̂t	ftʹx̂t	NOUN
bae-3304	171	88	>	>	PUNCT
bae-3304	171	89	0	0	NUM
bae-3304	171	90	and	and	CCONJ
bae-3304	171	91	gtʹŷt	gtʹŷt	ADJ
bae-3304	171	92	>	>	X
bae-3304	171	93	0	0	NUM
bae-3304	171	94	,	,	PUNCT
bae-3304	171	95	dt	dt	X
bae-3304	171	96	≥	≥	NOUN
bae-3304	171	97	0	0	NUM
bae-3304	171	98	,	,	PUNCT
bae-3304	171	99	rt	rt	PROPN
bae-3304	171	100	≥	≥	NOUN
bae-3304	171	101	0	0	NUM
bae-3304	171	102	.	.	PUNCT
bae-3304	172	1	vector	vector	NOUN
bae-3304	172	2	variables	variable	NOUN
bae-3304	172	3	dt	dt	X
bae-3304	172	4	≥	≥	PROPN
bae-3304	172	5	0	0	NUM
bae-3304	172	6	,	,	PUNCT
bae-3304	172	7	rt	rt	PROPN
bae-3304	172	8	≥	≥	X
bae-3304	172	9	0	0	NUM
bae-3304	172	10	perform	perform	VERB
bae-3304	172	11	the	the	DET
bae-3304	172	12	role	role	NOUN
bae-3304	172	13	of	of	ADP
bae-3304	172	14	auxiliary	auxiliary	ADJ
bae-3304	172	15	slack	slack	NOUN
bae-3304	172	16	variables	variable	NOUN
bae-3304	172	17	that	that	PRON
bae-3304	172	18	will	will	AUX
bae-3304	172	19	equal	equal	VERB
bae-3304	172	20	to	to	ADP
bae-3304	172	21	zero	zero	NUM
bae-3304	172	22	identically	identically	ADV
bae-3304	172	23	when	when	SCONJ
bae-3304	172	24	minimized	minimize	VERB
bae-3304	172	25	by	by	ADP
bae-3304	172	26	the	the	DET
bae-3304	172	27	gams	gams	PROPN
bae-3304	172	28	solver	solver	ADV
bae-3304	172	29	(	(	PUNCT
bae-3304	172	30	the	the	DET
bae-3304	172	31	gams	gams	PROPN
bae-3304	172	32	solver	solver	VERB
bae-3304	172	33	requires	require	VERB
bae-3304	172	34	an	an	DET
bae-3304	172	35	explicit	explicit	ADJ
bae-3304	172	36	objective	objective	ADJ
bae-3304	172	37	function	function	NOUN
bae-3304	172	38	)	)	PUNCT
bae-3304	172	39	.	.	PUNCT
bae-3304	173	1	in	in	ADP
bae-3304	173	2	this	this	DET
bae-3304	173	3	way	way	NOUN
bae-3304	173	4	,	,	PUNCT
bae-3304	173	5	the	the	DET
bae-3304	173	6	system	system	NOUN
bae-3304	173	7	of	of	ADP
bae-3304	173	8	relations	relation	NOUN
bae-3304	173	9	involving	involve	VERB
bae-3304	173	10	the	the	DET
bae-3304	173	11	specification	specification	NOUN
bae-3304	173	12	of	of	ADP
bae-3304	173	13	marginal	marginal	ADJ
bae-3304	173	14	cost	cost	NOUN
bae-3304	173	15	and	and	CCONJ
bae-3304	173	16	demand	demand	NOUN
bae-3304	173	17	functions	function	NOUN
bae-3304	173	18	for	for	ADP
bae-3304	173	19	inputs	input	NOUN
bae-3304	173	20	will	will	AUX
bae-3304	173	21	be	be	AUX
bae-3304	173	22	estimated	estimate	VERB
bae-3304	173	23	as	as	SCONJ
bae-3304	173	24	they	they	PRON
bae-3304	173	25	appear	appear	VERB
bae-3304	173	26	in	in	ADP
bae-3304	173	27	equations	equation	NOUN
bae-3304	173	28	(	(	PUNCT
bae-3304	173	29	31	31	NUM
bae-3304	173	30	)	)	PUNCT
bae-3304	173	31	and	and	CCONJ
bae-3304	173	32	(	(	PUNCT
bae-3304	173	33	32	32	NUM
bae-3304	173	34	)	)	PUNCT
bae-3304	173	35	.	.	PUNCT
bae-3304	174	1	to	to	PART
bae-3304	174	2	limit	limit	VERB
bae-3304	174	3	the	the	DET
bae-3304	174	4	number	number	NOUN
bae-3304	174	5	of	of	ADP
bae-3304	174	6	estimated	estimate	VERB
bae-3304	174	7	parameters	parameter	NOUN
bae-3304	174	8	it	it	PRON
bae-3304	174	9	may	may	AUX
bae-3304	174	10	be	be	AUX
bae-3304	174	11	convenient	convenient	ADJ
bae-3304	174	12	to	to	PART
bae-3304	174	13	assume	assume	VERB
bae-3304	174	14	that	that	SCONJ
bae-3304	174	15	matrices	matrice	VERB
bae-3304	174	16	q	q	NOUN
bae-3304	174	17	and	and	CCONJ
bae-3304	174	18	g	g	PROPN
bae-3304	174	19	belong	belong	VERB
bae-3304	174	20	to	to	ADP
bae-3304	174	21	the	the	DET
bae-3304	174	22	entire	entire	ADJ
bae-3304	174	23	area	area	NOUN
bae-3304	174	24	(	(	PUNCT
bae-3304	174	25	or	or	CCONJ
bae-3304	174	26	state	state	NOUN
bae-3304	174	27	)	)	PUNCT
bae-3304	174	28	and	and	CCONJ
bae-3304	174	29	do	do	AUX
bae-3304	174	30	not	not	PART
bae-3304	174	31	carry	carry	VERB
bae-3304	174	32	the	the	DET
bae-3304	174	33	index	index	NOUN
bae-3304	174	34	t	t	NOUN
bae-3304	174	35	identifying	identify	VERB
bae-3304	174	36	each	each	DET
bae-3304	174	37	individual	individual	ADJ
bae-3304	174	38	farm	farm	NOUN
bae-3304	174	39	.	.	PUNCT
bae-3304	175	1	model	model	NOUN
bae-3304	175	2	(	(	PUNCT
bae-3304	175	3	40	40	NUM
bae-3304	175	4	)	)	PUNCT
bae-3304	175	5	is	be	AUX
bae-3304	175	6	highly	highly	ADV
bae-3304	175	7	nonlinear	nonlinear	ADJ
bae-3304	175	8	in	in	ADP
bae-3304	175	9	the	the	DET
bae-3304	175	10	constraints	constraint	NOUN
bae-3304	175	11	and	and	CCONJ
bae-3304	175	12	a	a	DET
bae-3304	175	13	successful	successful	ADJ
bae-3304	175	14	solution	solution	NOUN
bae-3304	175	15	of	of	ADP
bae-3304	175	16	it	it	PRON
bae-3304	175	17	depends	depend	VERB
bae-3304	175	18	crucially	crucially	ADV
bae-3304	175	19	on	on	ADP
bae-3304	175	20	the	the	DET
bae-3304	175	21	proper	proper	ADJ
bae-3304	175	22	scaling	scaling	NOUN
bae-3304	175	23	of	of	ADP
bae-3304	175	24	the	the	DET
bae-3304	175	25	data	data	NOUN
bae-3304	175	26	series	series	NOUN
bae-3304	175	27	and	and	CCONJ
bae-3304	175	28	on	on	ADP
bae-3304	175	29	the	the	DET
bae-3304	175	30	choice	choice	NOUN
bae-3304	175	31	of	of	ADP
bae-3304	175	32	an	an	DET
bae-3304	175	33	initial	initial	ADJ
bae-3304	175	34	point	point	NOUN
bae-3304	175	35	that	that	PRON
bae-3304	175	36	falls	fall	VERB
bae-3304	175	37	in	in	ADP
bae-3304	175	38	the	the	DET
bae-3304	175	39	neighborhood	neighborhood	NOUN
bae-3304	175	40	of	of	ADP
bae-3304	175	41	the	the	DET
bae-3304	175	42	equilibrium	equilibrium	NOUN
bae-3304	175	43	solution	solution	NOUN
bae-3304	175	44	.	.	PUNCT
bae-3304	176	1	this	this	DET
bae-3304	176	2	specification	specification	NOUN
bae-3304	176	3	was	be	AUX
bae-3304	176	4	applied	apply	VERB
bae-3304	176	5	to	to	ADP
bae-3304	176	6	three	three	NUM
bae-3304	176	7	samples	sample	NOUN
bae-3304	176	8	of	of	ADP
bae-3304	176	9	t	t	NOUN
bae-3304	176	10	=	=	SYM
bae-3304	176	11	14	14	NUM
bae-3304	176	12	italian	italian	ADJ
bae-3304	176	13	farms	farm	NOUN
bae-3304	176	14	(	(	PUNCT
bae-3304	176	15	areas	area	NOUN
bae-3304	176	16	)	)	PUNCT
bae-3304	176	17	,	,	PUNCT
bae-3304	176	18	classified	classify	VERB
bae-3304	176	19	according	accord	VERB
bae-3304	176	20	to	to	ADP
bae-3304	176	21	acreage	acreage	ADJ
bae-3304	176	22	size	size	NOUN
bae-3304	176	23	,	,	PUNCT
bae-3304	176	24	each	each	PRON
bae-3304	176	25	producing	produce	VERB
bae-3304	176	26	four	four	NUM
bae-3304	176	27	crops	crop	NOUN
bae-3304	176	28	(	(	PUNCT
bae-3304	176	29	sugar	sugar	NOUN
bae-3304	176	30	beet	beet	NOUN
bae-3304	176	31	,	,	PUNCT
bae-3304	176	32	soft	soft	ADJ
bae-3304	176	33	wheat	wheat	NOUN
bae-3304	176	34	,	,	PUNCT
bae-3304	176	35	corn	corn	NOUN
bae-3304	176	36	and	and	CCONJ
bae-3304	176	37	barley	barley	NOUN
bae-3304	176	38	)	)	PUNCT
bae-3304	176	39	using	use	VERB
bae-3304	176	40	only	only	ADJ
bae-3304	176	41	land	land	NOUN
bae-3304	176	42	as	as	ADP
bae-3304	176	43	a	a	DET
bae-3304	176	44	limiting	limit	VERB
bae-3304	176	45	input	input	NOUN
bae-3304	176	46	.	.	PUNCT
bae-3304	177	1	the	the	DET
bae-3304	177	2	gams	gams	PROPN
bae-3304	177	3	software	software	PROPN
bae-3304	177	4	program	program	NOUN
bae-3304	177	5	achieved	achieve	VERB
bae-3304	177	6	an	an	DET
bae-3304	177	7	equilibrium	equilibrium	NOUN
bae-3304	177	8	solution	solution	NOUN
bae-3304	177	9	in	in	ADP
bae-3304	177	10	all	all	DET
bae-3304	177	11	the	the	DET
bae-3304	177	12	three	three	NUM
bae-3304	177	13	cases	case	NOUN
bae-3304	177	14	.	.	PUNCT
bae-3304	178	1	in	in	ADP
bae-3304	178	2	this	this	DET
bae-3304	178	3	paper	paper	NOUN
bae-3304	178	4	we	we	PRON
bae-3304	178	5	present	present	VERB
bae-3304	178	6	the	the	DET
bae-3304	178	7	result	result	NOUN
bae-3304	178	8	for	for	ADP
bae-3304	178	9	the	the	DET
bae-3304	178	10	class	class	NOUN
bae-3304	178	11	of	of	ADP
bae-3304	178	12	farms	farm	NOUN
bae-3304	178	13	of	of	ADP
bae-3304	178	14	size	size	NOUN
bae-3304	178	15	greater	great	ADJ
bae-3304	178	16	than	than	ADP
bae-3304	178	17	100	100	NUM
bae-3304	178	18	hectares	hectare	NOUN
bae-3304	178	19	.	.	PUNCT
bae-3304	179	1	table	table	NOUN
bae-3304	179	2	1	1	NUM
bae-3304	179	3	exhibits	exhibit	VERB
bae-3304	179	4	the	the	DET
bae-3304	179	5	observed	observe	VERB
bae-3304	179	6	output	output	NOUN
bae-3304	179	7	levels	level	NOUN
bae-3304	179	8	and	and	CCONJ
bae-3304	179	9	the	the	DET
bae-3304	179	10	percent	percent	NOUN
bae-3304	179	11	deviation	deviation	NOUN
bae-3304	179	12	obtained	obtain	VERB
bae-3304	179	13	from	from	ADP
bae-3304	179	14	solving	solve	VERB
bae-3304	179	15	model	model	NOUN
bae-3304	179	16	(	(	PUNCT
bae-3304	179	17	20)-(23	20)-(23	NOUN
bae-3304	179	18	)	)	PUNCT
bae-3304	179	19	(	(	PUNCT
bae-3304	179	20	alternatively	alternatively	ADV
bae-3304	179	21	solving	solve	VERB
bae-3304	179	22	model	model	NOUN
bae-3304	179	23	(	(	PUNCT
bae-3304	179	24	28	28	NUM
bae-3304	179	25	)	)	PUNCT
bae-3304	179	26	)	)	PUNCT
bae-3304	179	27	.	.	PUNCT
bae-3304	180	1	the	the	DET
bae-3304	180	2	primal	primal	ADJ
bae-3304	180	3	solution	solution	NOUN
bae-3304	180	4	x̂	x̂	NUM
bae-3304	180	5	is	be	AUX
bae-3304	180	6	almost	almost	ADV
bae-3304	180	7	equal	equal	ADJ
bae-3304	180	8	to	to	ADP
bae-3304	180	9	the	the	DET
bae-3304	180	10	observed	observe	VERB
bae-3304	180	11	output	output	NOUN
bae-3304	180	12	levels	level	NOUN
bae-3304	180	13	x	x	PUNCT
bae-3304	180	14	for	for	ADP
bae-3304	180	15	every	every	DET
bae-3304	180	16	farm	farm	NOUN
bae-3304	180	17	.	.	PUNCT
bae-3304	181	1	all	all	DET
bae-3304	181	2	the	the	DET
bae-3304	181	3	percent	percent	NOUN
bae-3304	181	4	deviations	deviation	NOUN
bae-3304	181	5	of	of	ADP
bae-3304	181	6	the	the	DET
bae-3304	181	7	primal	primal	ADJ
bae-3304	181	8	solution	solution	NOUN
bae-3304	181	9	(	(	PUNCT
bae-3304	181	10	except	except	SCONJ
bae-3304	181	11	two	two	NUM
bae-3304	181	12	)	)	PUNCT
bae-3304	181	13	are	be	AUX
bae-3304	181	14	well	well	ADV
bae-3304	181	15	below	below	ADP
bae-3304	181	16	the	the	DET
bae-3304	181	17	one	one	NUM
bae-3304	181	18	percent	percent	NOUN
bae-3304	181	19	level	level	NOUN
bae-3304	181	20	.	.	PUNCT
bae-3304	182	1	the	the	DET
bae-3304	182	2	same	same	ADJ
bae-3304	182	3	event	event	NOUN
bae-3304	182	4	characterizes	characterize	VERB
bae-3304	182	5	the	the	DET
bae-3304	182	6	dual	dual	ADJ
bae-3304	182	7	solution	solution	NOUN
bae-3304	182	8	.	.	PUNCT
bae-3304	183	1	table	table	NOUN
bae-3304	183	2	2	2	NUM
bae-3304	183	3	presents	present	VERB
bae-3304	183	4	the	the	DET
bae-3304	183	5	deviations	deviation	NOUN
bae-3304	183	6	from	from	ADP
bae-3304	183	7	the	the	DET
bae-3304	183	8	observed	observe	VERB
bae-3304	183	9	land	land	NOUN
bae-3304	183	10	input	input	NOUN
bae-3304	183	11	prices	price	NOUN
bae-3304	183	12	and	and	CCONJ
bae-3304	183	13	the	the	DET
bae-3304	183	14	percent	percent	NOUN
bae-3304	183	15	deviation	deviation	NOUN
bae-3304	183	16	of	of	ADP
bae-3304	183	17	the	the	DET
bae-3304	183	18	optimal	optimal	ADJ
bae-3304	183	19	dual	dual	ADJ
bae-3304	183	20	solution	solution	NOUN
bae-3304	183	21	,	,	PUNCT
bae-3304	183	22	ŷ	ŷ	X
bae-3304	183	23	.	.	PUNCT
bae-3304	184	1	also	also	ADV
bae-3304	184	2	in	in	ADP
bae-3304	184	3	this	this	DET
bae-3304	184	4	case	case	NOUN
bae-3304	184	5	,	,	PUNCT
bae-3304	184	6	the	the	DET
bae-3304	184	7	percent	percent	NOUN
bae-3304	184	8	deviation	deviation	NOUN
bae-3304	184	9	is	be	AUX
bae-3304	184	10	minimal	minimal	ADJ
bae-3304	184	11	in	in	ADP
bae-3304	184	12	every	every	DET
bae-3304	184	13	farm	farm	NOUN
bae-3304	184	14	.	.	PUNCT
bae-3304	185	1	the	the	DET
bae-3304	185	2	weighted	weight	VERB
bae-3304	185	3	ls	ls	ADJ
bae-3304	185	4	minimization	minimization	NOUN
bae-3304	185	5	of	of	ADP
bae-3304	185	6	the	the	DET
bae-3304	185	7	primal	primal	ADJ
bae-3304	185	8	and	and	CCONJ
bae-3304	185	9	dual	dual	ADJ
bae-3304	185	10	deviations	deviation	NOUN
bae-3304	185	11	(	(	PUNCT
bae-3304	185	12	h	h	NOUN
bae-3304	185	13	,	,	PUNCT
bae-3304	185	14	u	u	NOUN
bae-3304	185	15	)	)	PUNCT
bae-3304	185	16	has	have	AUX
bae-3304	185	17	produced	produce	VERB
bae-3304	185	18	a	a	DET
bae-3304	185	19	largely	largely	ADV
bae-3304	185	20	satisfactory	satisfactory	ADJ
bae-3304	185	21	result	result	NOUN
bae-3304	185	22	in	in	ADP
bae-3304	185	23	this	this	DET
bae-3304	185	24	sample	sample	NOUN
bae-3304	185	25	.	.	PUNCT
bae-3304	186	1	this	this	DET
bae-3304	186	2	goal	goal	NOUN
bae-3304	186	3	is	be	AUX
bae-3304	186	4	accomplished	accomplish	VERB
bae-3304	186	5	also	also	ADV
bae-3304	186	6	by	by	ADP
bae-3304	186	7	virtue	virtue	NOUN
bae-3304	186	8	of	of	ADP
bae-3304	186	9	the	the	DET
bae-3304	186	10	diagonal	diagonal	ADJ
bae-3304	186	11	weight	weight	NOUN
bae-3304	186	12	matrices	matrix	NOUN
bae-3304	186	13	w	w	NOUN
bae-3304	186	14	and	and	CCONJ
bae-3304	186	15	v.	v.	ADP
bae-3304	186	16	the	the	DET
bae-3304	186	17	estimated	estimate	VERB
bae-3304	186	18	parameters	parameter	NOUN
bae-3304	186	19	of	of	ADP
bae-3304	186	20	the	the	DET
bae-3304	186	21	cost	cost	NOUN
bae-3304	186	22	function	function	NOUN
bae-3304	186	23	are	be	AUX
bae-3304	186	24	reported	report	VERB
bae-3304	186	25	in	in	ADP
bae-3304	186	26	tables	table	NOUN
bae-3304	186	27	3	3	NUM
bae-3304	186	28	and	and	CCONJ
bae-3304	186	29	4	4	NUM
bae-3304	186	30	.	.	X
bae-3304	187	1	for	for	ADP
bae-3304	187	2	reasons	reason	NOUN
bae-3304	187	3	of	of	ADP
bae-3304	187	4	space	space	NOUN
bae-3304	187	5	,	,	PUNCT
bae-3304	187	6	only	only	ADV
bae-3304	187	7	three	three	NUM
bae-3304	187	8	q	q	ADJ
bae-3304	187	9	matrices	matrix	NOUN
bae-3304	187	10	are	be	AUX
bae-3304	187	11	reported	report	VERB
bae-3304	187	12	.	.	PUNCT
bae-3304	188	1	all	all	DET
bae-3304	188	2	14	14	NUM
bae-3304	188	3	farms	farm	NOUN
bae-3304	188	4	achieved	achieve	VERB
bae-3304	188	5	a	a	DET
bae-3304	188	6	nonsingular	nonsingular	ADJ
bae-3304	188	7	q̂	q̂	NUM
bae-3304	188	8	matrix	matrix	NOUN
bae-3304	188	9	.	.	PUNCT
bae-3304	189	1	this	this	DET
bae-3304	189	2	feature	feature	NOUN
bae-3304	189	3	is	be	AUX
bae-3304	189	4	instrumental	instrumental	ADJ
bae-3304	189	5	in	in	ADP
bae-3304	189	6	defining	define	VERB
bae-3304	189	7	the	the	DET
bae-3304	189	8	matrix	matrix	NOUN
bae-3304	189	9	of	of	ADP
bae-3304	189	10	endogenous	endogenous	ADJ
bae-3304	189	11	supply	supply	NOUN
bae-3304	189	12	elasticities	elasticity	NOUN
bae-3304	189	13	.	.	PUNCT
bae-3304	190	1	table	table	NOUN
bae-3304	190	2	5	5	NUM
bae-3304	190	3	presents	present	VERB
bae-3304	190	4	the	the	DET
bae-3304	190	5	endogenous	endogenous	ADJ
bae-3304	190	6	own	own	ADJ
bae-3304	190	7	and	and	CCONJ
bae-3304	190	8	cross	cross	ADJ
bae-3304	190	9	-	-	ADJ
bae-3304	190	10	price	price	ADJ
bae-3304	190	11	supply	supply	NOUN
bae-3304	190	12	elasticities	elasticity	NOUN
bae-3304	190	13	for	for	ADP
bae-3304	190	14	three	three	NUM
bae-3304	190	15	farms	farm	NOUN
bae-3304	190	16	.	.	PUNCT
bae-3304	191	1	we	we	PRON
bae-3304	191	2	stipulated	stipulate	VERB
bae-3304	191	3	that	that	SCONJ
bae-3304	191	4	regional	regional	ADJ
bae-3304	191	5	,	,	PUNCT
bae-3304	191	6	exogenous	exogenous	ADJ
bae-3304	191	7	own	own	ADJ
bae-3304	191	8	-	-	PUNCT
bae-3304	191	9	price	price	NOUN
bae-3304	191	10	supply	supply	NOUN
bae-3304	191	11	elasticities	elasticity	NOUN
bae-3304	191	12	were	be	AUX
bae-3304	191	13	available	available	ADJ
bae-3304	191	14	in	in	ADP
bae-3304	191	15	the	the	DET
bae-3304	191	16	magnitude	magnitude	NOUN
bae-3304	191	17	of	of	ADP
bae-3304	191	18	0.5	0.5	NUM
bae-3304	191	19	for	for	ADP
bae-3304	191	20	sugar	sugar	NOUN
bae-3304	191	21	beet	beet	NOUN
bae-3304	191	22	,	,	PUNCT
bae-3304	191	23	0.4	0.4	NUM
bae-3304	191	24	for	for	ADP
bae-3304	191	25	soft	soft	ADJ
bae-3304	191	26	wheat	wheat	NOUN
bae-3304	191	27	,	,	PUNCT
bae-3304	191	28	0.6	0.6	NUM
bae-3304	191	29	for	for	ADP
bae-3304	191	30	corn	corn	NOUN
bae-3304	191	31	and	and	CCONJ
bae-3304	191	32	0.3	0.3	NUM
bae-3304	191	33	for	for	ADP
bae-3304	191	34	barley	barley	NOUN
bae-3304	191	35	.	.	PUNCT
bae-3304	192	1	the	the	DET
bae-3304	192	2	endogenous	endogenous	ADJ
bae-3304	192	3	own	own	ADJ
bae-3304	192	4	-	-	PUNCT
bae-3304	192	5	price	price	NOUN
bae-3304	192	6	elasticities	elasticity	NOUN
bae-3304	192	7	of	of	ADP
bae-3304	192	8	all	all	DET
bae-3304	192	9	farms	farm	NOUN
bae-3304	192	10	were	be	AUX
bae-3304	192	11	aggregated	aggregate	VERB
bae-3304	192	12	to	to	PART
bae-3304	192	13	be	be	AUX
bae-3304	192	14	consistent	consistent	ADJ
bae-3304	192	15	with	with	ADP
bae-3304	192	16	the	the	DET
bae-3304	192	17	regional	regional	ADJ
bae-3304	192	18	exogenous	exogenous	ADJ
bae-3304	192	19	elasticities	elasticity	NOUN
bae-3304	192	20	according	accord	VERB
bae-3304	192	21	to	to	ADP
bae-3304	192	22	relation	relation	NOUN
bae-3304	192	23	(	(	PUNCT
bae-3304	192	24	37	37	NUM
bae-3304	192	25	)	)	PUNCT
bae-3304	192	26	.	.	PUNCT
bae-3304	193	1	table	table	NOUN
bae-3304	193	2	6	6	NUM
bae-3304	193	3	presents	present	VERB
bae-3304	193	4	the	the	DET
bae-3304	193	5	farms	farm	NOUN
bae-3304	193	6	’	'	PUNCT
bae-3304	193	7	ownprice	ownprice	NOUN
bae-3304	193	8	supply	supply	NOUN
bae-3304	193	9	elasticities	elasticity	NOUN
bae-3304	193	10	and	and	CCONJ
bae-3304	193	11	the	the	DET
bae-3304	193	12	revenue	revenue	NOUN
bae-3304	193	13	weights	weight	NOUN
bae-3304	193	14	used	use	VERB
bae-3304	193	15	in	in	ADP
bae-3304	193	16	the	the	DET
bae-3304	193	17	aggregation	aggregation	NOUN
bae-3304	193	18	relation	relation	NOUN
bae-3304	193	19	.	.	PUNCT
bae-3304	194	1	28	28	NUM
bae-3304	194	2	q.	q.	PROPN
bae-3304	194	3	paris	paris	PROPN
bae-3304	194	4	7	7	NUM
bae-3304	194	5	.	.	PUNCT
bae-3304	194	6	calibrating	calibrate	VERB
bae-3304	194	7	equilibrium	equilibrium	NOUN
bae-3304	194	8	model	model	NOUN
bae-3304	194	9	with	with	ADP
bae-3304	194	10	the	the	DET
bae-3304	194	11	estimates	estimate	NOUN
bae-3304	194	12	of	of	ADP
bae-3304	194	13	the	the	DET
bae-3304	194	14	cost	cost	NOUN
bae-3304	194	15	function	function	NOUN
bae-3304	194	16	parameters	parameter	NOUN
bae-3304	194	17	f	f	PROPN
bae-3304	194	18	g	g	PROPN
bae-3304	194	19	q	q	X
bae-3304	194	20	gˆ	gˆ	NOUN
bae-3304	194	21	,	,	PUNCT
bae-3304	194	22	ˆ	ˆ	NOUN
bae-3304	194	23	,	,	PUNCT
bae-3304	194	24	ˆ	ˆ	ADV
bae-3304	194	25	,	,	PUNCT
bae-3304	194	26	ˆ	ˆ	ADV
bae-3304	194	27	it	it	PRON
bae-3304	194	28	is	be	AUX
bae-3304	194	29	possible	possible	ADJ
bae-3304	194	30	to	to	PART
bae-3304	194	31	formulate	formulate	VERB
bae-3304	194	32	a	a	DET
bae-3304	194	33	calibrating	calibrate	VERB
bae-3304	194	34	equilibrium	equilibrium	NOUN
bae-3304	194	35	model	model	NOUN
bae-3304	194	36	for	for	ADP
bae-3304	194	37	each	each	DET
bae-3304	194	38	farm	farm	NOUN
bae-3304	194	39	(	(	PUNCT
bae-3304	194	40	sector	sector	NOUN
bae-3304	194	41	,	,	PUNCT
bae-3304	194	42	area	area	NOUN
bae-3304	194	43	)	)	PUNCT
bae-3304	194	44	of	of	ADP
bae-3304	194	45	the	the	DET
bae-3304	194	46	following	follow	VERB
bae-3304	194	47	structure	structure	NOUN
bae-3304	194	48	mincsct	mincsct	NOUN
bae-3304	195	1	=	=	PRON
bae-3304	195	2	ʹzpt	ʹzpt	NOUN
bae-3304	195	3	yt	yt	NOUN
bae-3304	195	4	+	+	CCONJ
bae-3304	195	5	ʹzdtxt	ʹzdtxt	NOUN
bae-3304	195	6	=	=	SYM
bae-3304	195	7	0	0	NUM
bae-3304	195	8	(	(	PUNCT
bae-3304	195	9	41	41	NUM
bae-3304	195	10	)	)	PUNCT
bae-3304	195	11	table	table	NOUN
bae-3304	195	12	1	1	NUM
bae-3304	195	13	.	.	PUNCT
bae-3304	195	14	observed	observe	VERB
bae-3304	195	15	output	output	NOUN
bae-3304	195	16	levels	level	NOUN
bae-3304	195	17	,	,	PUNCT
bae-3304	195	18	x	x	PRON
bae-3304	195	19	and	and	CCONJ
bae-3304	195	20	percent	percent	NOUN
bae-3304	195	21	deviation	deviation	NOUN
bae-3304	195	22	(	(	PUNCT
bae-3304	195	23	dev	dev	NOUN
bae-3304	195	24	)	)	PUNCT
bae-3304	195	25	of	of	ADP
bae-3304	195	26	the	the	DET
bae-3304	195	27	ls	ls	ADJ
bae-3304	195	28	calibrated	calibrate	VERB
bae-3304	195	29	solution	solution	NOUN
bae-3304	195	30	,	,	PUNCT
bae-3304	195	31	x̂.	x̂.	NOUN
bae-3304	195	32	farm	farm	NOUN
bae-3304	195	33	sugar	sugar	NOUN
bae-3304	195	34	beet	beet	PROPN
bae-3304	195	35	x1	x1	NUM
bae-3304	195	36	soft	soft	ADJ
bae-3304	195	37	wheat	wheat	NOUN
bae-3304	196	1	x2	x2	PROPN
bae-3304	196	2	corn	corn	NOUN
bae-3304	196	3	x3	x3	PROPN
bae-3304	196	4	barley	barley	NOUN
bae-3304	196	5	x4	x4	PROPN
bae-3304	196	6	sugar	sugar	NOUN
bae-3304	196	7	beet	beet	PROPN
bae-3304	196	8	%	%	NOUN
bae-3304	196	9	dev	dev	PROPN
bae-3304	196	10	soft	soft	ADJ
bae-3304	196	11	wheat	wheat	NOUN
bae-3304	196	12	%	%	NOUN
bae-3304	196	13	dev	dev	PROPN
bae-3304	196	14	corn	corn	NOUN
bae-3304	196	15	%	%	PROPN
bae-3304	196	16	dev	dev	PROPN
bae-3304	196	17	barley	barley	PROPN
bae-3304	196	18	%	%	PROPN
bae-3304	196	19	dev	dev	PROPN
bae-3304	196	20	1	1	NUM
bae-3304	196	21	1133.4240	1133.4240	NUM
bae-3304	196	22	305.4032	305.4032	NUM
bae-3304	196	23	341.3693	341.3693	NUM
bae-3304	196	24	18.2398	18.2398	NUM
bae-3304	196	25	0.026	0.026	NUM
bae-3304	196	26	0.060	0.060	NUM
bae-3304	196	27	0.157	0.157	NUM
bae-3304	196	28	1.341	1.341	NUM
bae-3304	196	29	2	2	NUM
bae-3304	196	30	3103.7830	3103.7830	NUM
bae-3304	196	31	861.7445	861.7445	NUM
bae-3304	196	32	478.4465	478.4465	NUM
bae-3304	196	33	59.8025	59.8025	NUM
bae-3304	196	34	0.016	0.016	NUM
bae-3304	196	35	0.042	0.042	NUM
bae-3304	196	36	0.052	0.052	NUM
bae-3304	196	37	0.637	0.637	NUM
bae-3304	196	38	3	3	NUM
bae-3304	196	39	1547.9780	1547.9780	NUM
bae-3304	196	40	450.7937	450.7937	NUM
bae-3304	196	41	881.9748	881.9748	NUM
bae-3304	196	42	7.6887	7.6887	NUM
bae-3304	196	43	0.010	0.010	NUM
bae-3304	196	44	-0.003	-0.003	NOUN
bae-3304	196	45	0.011	0.011	NUM
bae-3304	196	46	0.164	0.164	NUM
bae-3304	196	47	4	4	NUM
bae-3304	196	48	3488.3540	3488.3540	NUM
bae-3304	196	49	821.3934	821.3934	NUM
bae-3304	196	50	1493.332	1493.332	NUM
bae-3304	196	51	51.1247	51.1247	NUM
bae-3304	196	52	0.002	0.002	NUM
bae-3304	196	53	0.019	0.019	NUM
bae-3304	196	54	0.023	0.023	NUM
bae-3304	196	55	0.526	0.526	NUM
bae-3304	196	56	5	5	NUM
bae-3304	196	57	959.1102	959.1102	NUM
bae-3304	196	58	468.2848	468.2848	NUM
bae-3304	196	59	478.9261	478.9261	NUM
bae-3304	196	60	28.2406	28.2406	NUM
bae-3304	196	61	0.032	0.032	NUM
bae-3304	196	62	0.001	0.001	NUM
bae-3304	196	63	0.091	0.091	NUM
bae-3304	196	64	1.136	1.136	NUM
bae-3304	196	65	6	6	NUM
bae-3304	196	66	942.2039	942.2039	NUM
bae-3304	196	67	801.1288	801.1288	NUM
bae-3304	196	68	1283.591	1283.591	NUM
bae-3304	196	69	152.581	152.581	NUM
bae-3304	196	70	0.049	0.049	NUM
bae-3304	196	71	0.059	0.059	NUM
bae-3304	196	72	0.046	0.046	NUM
bae-3304	196	73	0.384	0.384	NUM
bae-3304	196	74	7	7	NUM
bae-3304	196	75	1600.7310	1600.7310	NUM
bae-3304	196	76	695.8293	695.8293	NUM
bae-3304	196	77	899.4739	899.4739	NUM
bae-3304	196	78	66.9718	66.9718	NUM
bae-3304	196	79	0.023	0.023	NUM
bae-3304	196	80	0.068	0.068	NUM
bae-3304	196	81	0.061	0.061	NUM
bae-3304	196	82	0.683	0.683	NUM
bae-3304	196	83	8	8	NUM
bae-3304	196	84	3507.5490	3507.5490	NUM
bae-3304	196	85	1212.8550	1212.8550	NUM
bae-3304	196	86	1237.584	1237.584	NUM
bae-3304	196	87	98.0497	98.0497	NUM
bae-3304	196	88	0.006	0.006	NUM
bae-3304	196	89	0.047	0.047	NUM
bae-3304	196	90	0.048	0.048	NUM
bae-3304	196	91	0.388	0.388	NUM
bae-3304	196	92	9	9	NUM
bae-3304	196	93	1050.5370	1050.5370	NUM
bae-3304	196	94	332.3773	332.3773	NUM
bae-3304	197	1	498.0150	498.0150	NUM
bae-3304	197	2	63.6696	63.6696	NUM
bae-3304	197	3	0.043	0.043	NUM
bae-3304	197	4	0.188	0.188	NUM
bae-3304	197	5	0.120	0.120	NUM
bae-3304	197	6	0.846	0.846	NUM
bae-3304	197	7	10	10	NUM
bae-3304	197	8	3473.6780	3473.6780	NUM
bae-3304	197	9	952.5199	952.5199	NUM
bae-3304	197	10	774.7402	774.7402	NUM
bae-3304	197	11	84.0070	84.0070	NUM
bae-3304	197	12	0.010	0.010	NUM
bae-3304	197	13	0.039	0.039	NUM
bae-3304	197	14	0.062	0.062	NUM
bae-3304	197	15	0.444	0.444	NUM
bae-3304	197	16	11	11	NUM
bae-3304	197	17	1245.7220	1245.7220	NUM
bae-3304	197	18	765.1689	765.1689	NUM
bae-3304	197	19	501.9673	501.9673	NUM
bae-3304	197	20	59.5366	59.5366	NUM
bae-3304	197	21	0.030	0.030	NUM
bae-3304	197	22	0.047	0.047	NUM
bae-3304	197	23	0.101	0.101	NUM
bae-3304	197	24	0.718	0.718	NUM
bae-3304	197	25	12	12	NUM
bae-3304	198	1	3276.1450	3276.1450	NUM
bae-3304	198	2	1100.1680	1100.1680	NUM
bae-3304	198	3	742.9419	742.9419	NUM
bae-3304	198	4	177.974	177.974	NUM
bae-3304	198	5	0.014	0.014	NUM
bae-3304	198	6	0.031	0.031	NUM
bae-3304	198	7	0.074	0.074	NUM
bae-3304	198	8	0.326	0.326	NUM
bae-3304	198	9	13	13	NUM
bae-3304	198	10	877.0970	877.0970	NUM
bae-3304	198	11	380.9171	380.9171	NUM
bae-3304	198	12	564.6091	564.6091	NUM
bae-3304	198	13	76.2122	76.2122	NUM
bae-3304	198	14	0.048	0.048	NUM
bae-3304	198	15	0.055	0.055	NUM
bae-3304	198	16	0.105	0.105	NUM
bae-3304	198	17	0.683	0.683	NUM
bae-3304	198	18	14	14	NUM
bae-3304	198	19	1430.9460	1430.9460	NUM
bae-3304	198	20	768.6901	768.6901	NUM
bae-3304	198	21	1309.392	1309.392	NUM
bae-3304	198	22	67.7906	67.7906	NUM
bae-3304	198	23	0.026	0.026	NUM
bae-3304	198	24	0.038	0.038	NUM
bae-3304	198	25	0.035	0.035	NUM
bae-3304	198	26	0.604	0.604	NUM
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bae-3304	198	28	2	2	NUM
bae-3304	198	29	.	.	PUNCT
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bae-3304	198	31	of	of	ADP
bae-3304	198	32	ŷ	ŷ	NUM
bae-3304	198	33	from	from	ADP
bae-3304	198	34	y	y	PROPN
bae-3304	198	35	:	:	PUNCT
bae-3304	198	36	vector	vector	NOUN
bae-3304	198	37	û.	û.	PROPN
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bae-3304	198	39	absolute	absolute	ADJ
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bae-3304	198	41	û	û	NUM
bae-3304	198	42	observed	observe	VERB
bae-3304	198	43	land	land	NOUN
bae-3304	198	44	prices	price	NOUN
bae-3304	198	45	y	y	NOUN
bae-3304	198	46	percent	percent	NOUN
bae-3304	198	47	deviation	deviation	NOUN
bae-3304	198	48	%	%	NOUN
bae-3304	198	49	1	1	NUM
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bae-3304	198	53	2	2	NUM
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bae-3304	198	55	4.38	4.38	NUM
bae-3304	198	56	0.061	0.061	NUM
bae-3304	198	57	3	3	NUM
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bae-3304	198	59	6.98	6.98	NUM
bae-3304	198	60	0.006	0.006	NUM
bae-3304	198	61	4	4	NUM
bae-3304	198	62	0.0018006	0.0018006	NUM
bae-3304	198	63	5.73	5.73	NUM
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bae-3304	198	65	5	5	NUM
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bae-3304	198	67	4.40	4.40	NUM
bae-3304	198	68	0.071	0.071	NUM
bae-3304	198	69	6	6	NUM
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bae-3304	198	71	1.86	1.86	NUM
bae-3304	198	72	0.078	0.078	NUM
bae-3304	198	73	7	7	NUM
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bae-3304	198	75	3.65	3.65	NUM
bae-3304	198	76	0.089	0.089	NUM
bae-3304	198	77	8	8	NUM
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bae-3304	198	79	3.36	3.36	NUM
bae-3304	198	80	0.056	0.056	NUM
bae-3304	198	81	9	9	NUM
bae-3304	198	82	0.0052767	0.0052767	NUM
bae-3304	198	83	2.75	2.75	NUM
bae-3304	198	84	0.192	0.192	NUM
bae-3304	198	85	10	10	NUM
bae-3304	198	86	0.0027213	0.0027213	NUM
bae-3304	198	87	4.28	4.28	NUM
bae-3304	198	88	0.064	0.064	NUM
bae-3304	198	89	11	11	NUM
bae-3304	198	90	0.0029836	0.0029836	NUM
bae-3304	198	91	3.28	3.28	NUM
bae-3304	198	92	0.091	0.091	NUM
bae-3304	198	93	12	12	NUM
bae-3304	198	94	0.0011904	0.0011904	NUM
bae-3304	198	95	1.93	1.93	NUM
bae-3304	198	96	0.062	0.062	NUM
bae-3304	198	97	13	13	NUM
bae-3304	198	98	0.0028811	0.0028811	NUM
bae-3304	198	99	2.32	2.32	NUM
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bae-3304	198	105	29cost	29cost	NUM
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bae-3304	198	107	and	and	CCONJ
bae-3304	198	108	positive	positive	ADJ
bae-3304	198	109	mathematical	mathematical	ADJ
bae-3304	198	110	programming	programming	NOUN
bae-3304	198	111	table	table	NOUN
bae-3304	198	112	3	3	NUM
bae-3304	198	113	.	.	PUNCT
bae-3304	198	114	intercepts	intercept	NOUN
bae-3304	198	115	f̂	f̂	NUM
bae-3304	198	116	,	,	PUNCT
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bae-3304	198	118	and	and	CCONJ
bae-3304	198	119	ĝ	ĝ	X
bae-3304	198	120	matrix	matrix	NOUN
bae-3304	198	121	of	of	ADP
bae-3304	198	122	the	the	DET
bae-3304	198	123	marginal	marginal	ADJ
bae-3304	198	124	cost	cost	NOUN
bae-3304	198	125	and	and	CCONJ
bae-3304	198	126	input	input	NOUN
bae-3304	198	127	demand	demand	NOUN
bae-3304	198	128	functions	function	NOUN
bae-3304	198	129	.	.	PUNCT
bae-3304	199	1	farm	farm	NOUN
bae-3304	199	2	f̂	f̂	PROPN
bae-3304	199	3	ĝ	ĝ	X
bae-3304	199	4	ĝ	ĝ	X
bae-3304	199	5	ʹf̂	ʹf̂	VERB
bae-3304	199	6	ŷ	ŷ	PUNCT
bae-3304	199	7	ʹĝ	ʹĝ	PROPN
bae-3304	199	8	ŷ	ŷ	NUM
bae-3304	199	9	sugar	sugar	NOUN
bae-3304	199	10	beet	beet	PROPN
bae-3304	199	11	soft	soft	ADJ
bae-3304	199	12	wheat	wheat	NOUN
bae-3304	199	13	corn	corn	NOUN
bae-3304	199	14	barley	barley	NOUN
bae-3304	199	15	1	1	NUM
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bae-3304	199	17	0.0912	0.0912	NUM
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bae-3304	199	20	0.00191	0.00191	NUM
bae-3304	199	21	-1.2669	-1.2669	VERB
bae-3304	200	1	140.294	140.294	NUM
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bae-3304	200	3	2	2	NUM
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bae-3304	201	1	542.721	542.721	NUM
bae-3304	201	2	0.00484	0.00484	NUM
bae-3304	201	3	3	3	NUM
bae-3304	201	4	0.5937	0.5937	NUM
bae-3304	201	5	0.6745	0.6745	NUM
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bae-3304	201	9	-0.0313	-0.0313	PUNCT
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bae-3304	201	12	4	4	NUM
bae-3304	201	13	-0.0549	-0.0549	NOUN
bae-3304	201	14	0.2153	0.2153	NUM
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bae-3304	202	1	380.591	380.591	NUM
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bae-3304	202	3	5	5	NUM
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bae-3304	202	7	0.6213	0.6213	NUM
bae-3304	202	8	0.00361	0.00361	NUM
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bae-3304	202	10	274.242	274.242	NUM
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bae-3304	202	12	6	6	NUM
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bae-3304	202	17	0.01073	0.01073	NUM
bae-3304	202	18	-0.2639	-0.2639	PROPN
bae-3304	202	19	8561.452	8561.452	NUM
bae-3304	202	20	0.01998	0.01998	NUM
bae-3304	202	21	7	7	NUM
bae-3304	202	22	0.2155	0.2155	NUM
bae-3304	202	23	0.2852	0.2852	NUM
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bae-3304	202	25	0.9854	0.9854	NUM
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bae-3304	202	30	8	8	NUM
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bae-3304	203	1	1336.688	1336.688	NUM
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bae-3304	203	3	9	9	NUM
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bae-3304	204	1	435.449	435.449	NUM
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bae-3304	206	1	1717.901	1717.901	NUM
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bae-3304	206	4	0.7831	0.7831	NUM
bae-3304	206	5	0.3158	0.3158	NUM
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bae-3304	206	7	0.8222	0.8222	NUM
bae-3304	206	8	0.00711	0.00711	NUM
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bae-3304	206	10	683.351	683.351	NUM
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bae-3304	206	14	0.6635	0.6635	NUM
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bae-3304	206	16	0.9977	0.9977	NUM
bae-3304	206	17	0.00925	0.00925	NUM
bae-3304	206	18	-1.2669	-1.2669	X
bae-3304	206	19	1095.888	1095.888	NUM
bae-3304	206	20	0.03732	0.03732	NUM
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bae-3304	206	22	4	4	NUM
bae-3304	206	23	.	.	NOUN
bae-3304	206	24	matrices	matrix	NOUN
bae-3304	206	25	q̂	q̂	PUNCT
bae-3304	206	26	and	and	CCONJ
bae-3304	206	27	d̂	d̂	X
bae-3304	206	28	for	for	ADP
bae-3304	206	29	three	three	NUM
bae-3304	206	30	farms	farm	NOUN
bae-3304	206	31	.	.	PUNCT
bae-3304	207	1	matrix	matrix	NOUN
bae-3304	207	2	q̂	q̂	NUM
bae-3304	207	3	matrix	matrix	NOUN
bae-3304	207	4	d̂	d̂	PROPN
bae-3304	207	5	sugar	sugar	NOUN
bae-3304	207	6	beet	beet	PROPN
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bae-3304	207	9	corn	corn	NOUN
bae-3304	207	10	barley	barley	PROPN
bae-3304	207	11	sugar	sugar	NOUN
bae-3304	207	12	beet	beet	PROPN
bae-3304	207	13	soft	soft	ADJ
bae-3304	207	14	wheat	wheat	NOUN
bae-3304	207	15	corn	corn	NOUN
bae-3304	207	16	barley	barley	PROPN
bae-3304	207	17	farm	farm	NOUN
bae-3304	207	18	1	1	NUM
bae-3304	207	19	s.	s.	PROPN
bae-3304	207	20	beet	beet	PROPN
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bae-3304	208	1	0.06447	0.06447	NUM
bae-3304	208	2	0.90363	0.90363	NUM
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bae-3304	208	4	-1.97461	-1.97461	NOUN
bae-3304	209	1	5.83223	5.83223	NUM
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bae-3304	209	10	0.57068	0.57068	NUM
bae-3304	209	11	barley	barley	NOUN
bae-3304	209	12	0.06447	0.06447	PROPN
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bae-3304	209	14	0.17779	0.17779	NUM
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bae-3304	209	17	farm	farm	NOUN
bae-3304	209	18	2	2	NUM
bae-3304	209	19	s.	s.	PROPN
bae-3304	209	20	beet	beet	NOUN
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bae-3304	209	22	-2.04607	-2.04607	VERB
bae-3304	209	23	-0.76495	-0.76495	NOUN
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bae-3304	210	1	0.71517	0.71517	NUM
bae-3304	210	2	s.wheat	s.wheat	NUM
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bae-3304	210	4	7.25493	7.25493	NUM
bae-3304	210	5	2.41519	2.41519	NUM
bae-3304	210	6	-0.05663	-0.05663	X
bae-3304	210	7	1.40123	1.40123	NUM
bae-3304	210	8	corn	corn	NOUN
bae-3304	210	9	-0.76495	-0.76495	NOUN
bae-3304	210	10	2.41519	2.41519	NUM
bae-3304	210	11	1.53268	1.53268	NUM
bae-3304	210	12	-0.03759	-0.03759	ADV
bae-3304	210	13	0.67780	0.67780	NUM
bae-3304	210	14	barley	barley	NOUN
bae-3304	210	15	-0.00159	-0.00159	PROPN
bae-3304	210	16	-0.05663	-0.05663	PROPN
bae-3304	210	17	-0.03759	-0.03759	ADV
bae-3304	210	18	18.98344	18.98344	NUM
bae-3304	210	19	18.97949	18.97949	NUM
bae-3304	210	20	farm	farm	NOUN
bae-3304	210	21	3	3	NUM
bae-3304	210	22	s.	s.	PROPN
bae-3304	210	23	beet	beet	NOUN
bae-3304	210	24	1.24597	1.24597	NUM
bae-3304	210	25	0.24597	0.24597	NUM
bae-3304	210	26	-2.27223	-2.27223	NOUN
bae-3304	210	27	-0.42147	-0.42147	NOUN
bae-3304	211	1	1.24597	1.24597	NUM
bae-3304	211	2	s.wheat	s.wheat	NOUN
bae-3304	211	3	0.24597	0.24597	NUM
bae-3304	211	4	1.95471	1.95471	NUM
bae-3304	211	5	-1.25809	-1.25809	NOUN
bae-3304	211	6	-0.02225	-0.02225	NOUN
bae-3304	212	1	1.90615	1.90615	NUM
bae-3304	212	2	corn	corn	NOUN
bae-3304	212	3	-2.27223	-2.27223	NOUN
bae-3304	212	4	-1.25809	-1.25809	PROPN
bae-3304	213	1	4.76858	4.76858	NUM
bae-3304	213	2	0.85444	0.85444	NUM
bae-3304	213	3	0.28099	0.28099	NUM
bae-3304	213	4	barley	barley	NOUN
bae-3304	213	5	-0.42147	-0.42147	NOUN
bae-3304	213	6	-0.02225	-0.02225	PROPN
bae-3304	214	1	0.85444	0.85444	NUM
bae-3304	215	1	6.78018	6.78018	NUM
bae-3304	215	2	6.59126	6.59126	NUM
bae-3304	215	3	30	30	NUM
bae-3304	215	4	q.	q.	NOUN
bae-3304	215	5	paris	paris	PROPN
bae-3304	215	6	table	table	NOUN
bae-3304	215	7	5	5	NUM
bae-3304	215	8	.	.	PUNCT
bae-3304	215	9	endogenous	endogenous	ADJ
bae-3304	215	10	ownand	ownand	NOUN
bae-3304	215	11	cross	cross	ADJ
bae-3304	215	12	-	-	ADJ
bae-3304	215	13	supply	supply	ADJ
bae-3304	215	14	elasticities	elasticity	NOUN
bae-3304	215	15	for	for	ADP
bae-3304	215	16	three	three	NUM
bae-3304	215	17	farms	farm	NOUN
bae-3304	215	18	.	.	PUNCT
bae-3304	216	1	sugar	sugar	NOUN
bae-3304	216	2	beet	beet	PROPN
bae-3304	216	3	soft	soft	ADJ
bae-3304	216	4	wheat	wheat	NOUN
bae-3304	216	5	corn	corn	NOUN
bae-3304	216	6	barley	barley	PROPN
bae-3304	216	7	farm	farm	NOUN
bae-3304	216	8	1	1	NUM
bae-3304	216	9	s.	s.	PROPN
bae-3304	216	10	beet	beet	NOUN
bae-3304	216	11	0.2001	0.2001	NUM
bae-3304	216	12	0.1952	0.1952	NUM
bae-3304	216	13	0.1321	0.1321	NUM
bae-3304	216	14	-0.1091	-0.1091	NOUN
bae-3304	216	15	s.	s.	PROPN
bae-3304	216	16	wheat	wheat	PROPN
bae-3304	216	17	0.2815	0.2815	NUM
bae-3304	216	18	0.6056	0.6056	NUM
bae-3304	216	19	-0.2563	-0.2563	NOUN
bae-3304	216	20	-0.1763	-0.1763	NOUN
bae-3304	216	21	corn	corn	PROPN
bae-3304	216	22	0.2052	0.2052	NUM
bae-3304	216	23	-0.2760	-0.2760	NOUN
bae-3304	216	24	1.2485	1.2485	NUM
bae-3304	216	25	-0.1514	-0.1514	NOUN
bae-3304	216	26	barley	barley	NOUN
bae-3304	216	27	-0.0089	-0.0089	NOUN
bae-3304	216	28	-0.0100	-0.0100	X
bae-3304	216	29	-0.0079	-0.0079	NOUN
bae-3304	217	1	0.5927	0.5927	NUM
bae-3304	217	2	farm	farm	NOUN
bae-3304	217	3	2	2	NUM
bae-3304	217	4	s.	s.	PROPN
bae-3304	217	5	beet	beet	VERB
bae-3304	217	6	0.2487	0.2487	NUM
bae-3304	217	7	0.2182	0.2182	NUM
bae-3304	217	8	0.1855	0.1855	NUM
bae-3304	217	9	0.0133	0.0133	NUM
bae-3304	217	10	s.	s.	PROPN
bae-3304	217	11	wheat	wheat	PROPN
bae-3304	217	12	0.3081	0.3081	NUM
bae-3304	217	13	0.4399	0.4399	NUM
bae-3304	217	14	-0.2513	-0.2513	NOUN
bae-3304	217	15	0.0162	0.0162	NUM
bae-3304	217	16	corn	corn	NOUN
bae-3304	217	17	0.1454	0.1454	ADJ
bae-3304	217	18	-0.1395	-0.1395	NOUN
bae-3304	217	19	1.5539	1.5539	NUM
bae-3304	217	20	0.0191	0.0191	NUM
bae-3304	217	21	barley	barley	NOUN
bae-3304	217	22	0.0012	0.0012	NUM
bae-3304	217	23	0.0011	0.0011	NUM
bae-3304	217	24	0.0023	0.0023	NUM
bae-3304	217	25	0.4196	0.4196	NUM
bae-3304	217	26	farm	farm	NOUN
bae-3304	217	27	3	3	NUM
bae-3304	217	28	s.	s.	PROPN
bae-3304	217	29	beet	beet	NOUN
bae-3304	217	30	0.1839	0.1839	NUM
bae-3304	217	31	0.1379	0.1379	NUM
bae-3304	217	32	0.1727	0.1727	NUM
bae-3304	217	33	-0.1676	-0.1676	NOUN
bae-3304	217	34	s.	s.	PROPN
bae-3304	217	35	wheat	wheat	NOUN
bae-3304	217	36	0.2347	0.2347	NUM
bae-3304	217	37	0.3725	0.3725	NUM
bae-3304	217	38	0.2474	0.2474	NUM
bae-3304	217	39	-0.5665	-0.5665	NOUN
bae-3304	217	40	corn	corn	NOUN
bae-3304	217	41	0.4893	0.4893	NUM
bae-3304	217	42	0.4121	0.4121	NUM
bae-3304	217	43	0.4952	0.4952	NUM
bae-3304	217	44	-0.9548	-0.9548	NOUN
bae-3304	217	45	barley	barley	NOUN
bae-3304	217	46	-0.0044	-0.0044	PUNCT
bae-3304	218	1	-0.0087	-0.0087	PROPN
bae-3304	218	2	-0.0088	-0.0088	VERB
bae-3304	218	3	2.5417	2.5417	NUM
bae-3304	218	4	table	table	NOUN
bae-3304	218	5	6	6	NUM
bae-3304	218	6	.	.	PUNCT
bae-3304	218	7	disaggregation	disaggregation	NOUN
bae-3304	218	8	/	/	SYM
bae-3304	218	9	aggregation	aggregation	NOUN
bae-3304	218	10	of	of	ADP
bae-3304	218	11	the	the	DET
bae-3304	218	12	regional	regional	ADJ
bae-3304	218	13	,	,	PUNCT
bae-3304	218	14	endogenous	endogenous	ADJ
bae-3304	218	15	supply	supply	NOUN
bae-3304	218	16	elasticities	elasticity	NOUN
bae-3304	218	17	.	.	PUNCT
bae-3304	219	1	farms	farm	NOUN
bae-3304	219	2	endogenous	endogenous	ADJ
bae-3304	219	3	own	own	ADJ
bae-3304	219	4	-	-	PUNCT
bae-3304	219	5	supply	supply	NOUN
bae-3304	219	6	elasticities	elasticity	NOUN
bae-3304	219	7	revenue	revenue	NOUN
bae-3304	219	8	weights	weight	VERB
bae-3304	219	9	sugar	sugar	NOUN
bae-3304	219	10	beet	beet	NOUN
bae-3304	219	11	:	:	PUNCT
bae-3304	219	12	0.5	0.5	NUM
bae-3304	219	13	soft	soft	ADJ
bae-3304	219	14	wheat	wheat	NOUN
bae-3304	219	15	:	:	PUNCT
bae-3304	219	16	0.4	0.4	NUM
bae-3304	219	17	corn	corn	NOUN
bae-3304	219	18	:	:	PUNCT
bae-3304	219	19	0.6	0.6	NUM
bae-3304	219	20	barley	barley	NOUN
bae-3304	219	21	:	:	PUNCT
bae-3304	219	22	0.3	0.3	NUM
bae-3304	219	23	sugar	sugar	NOUN
bae-3304	219	24	beet	beet	NOUN
bae-3304	219	25	soft	soft	ADJ
bae-3304	219	26	wheat	wheat	NOUN
bae-3304	219	27	corn	corn	NOUN
bae-3304	219	28	barley	barley	NOUN
bae-3304	219	29	1	1	NUM
bae-3304	219	30	0.2001	0.2001	NUM
bae-3304	219	31	0.6056	0.6056	NUM
bae-3304	220	1	1.2485	1.2485	NUM
bae-3304	220	2	0.5927	0.5927	NUM
bae-3304	220	3	0.0406	0.0406	NUM
bae-3304	220	4	0.0291	0.0291	NUM
bae-3304	220	5	0.0295	0.0295	NUM
bae-3304	220	6	0.0165	0.0165	NUM
bae-3304	220	7	2	2	NUM
bae-3304	220	8	0.2487	0.2487	NUM
bae-3304	220	9	0.4399	0.4399	NUM
bae-3304	220	10	1.5539	1.5539	NUM
bae-3304	220	11	0.4196	0.4196	NUM
bae-3304	220	12	0.1334	0.1334	NUM
bae-3304	220	13	0.0937	0.0937	NUM
bae-3304	220	14	0.0489	0.0489	NUM
bae-3304	220	15	0.0628	0.0628	NUM
bae-3304	220	16	3	3	NUM
bae-3304	220	17	0.1839	0.1839	NUM
bae-3304	220	18	0.3725	0.3725	NUM
bae-3304	220	19	0.4952	0.4952	NUM
bae-3304	220	20	2.5417	2.5417	NUM
bae-3304	220	21	0.0527	0.0527	NUM
bae-3304	220	22	0.0446	0.0446	NUM
bae-3304	220	23	0.0699	0.0699	NUM
bae-3304	220	24	0.0070	0.0070	NUM
bae-3304	220	25	4	4	NUM
bae-3304	220	26	0.2225	0.2225	NUM
bae-3304	220	27	0.4774	0.4774	NUM
bae-3304	220	28	0.5665	0.5665	NUM
bae-3304	220	29	0.9868	0.9868	NUM
bae-3304	220	30	0.1000	0.1000	NUM
bae-3304	220	31	0.0893	0.0893	NUM
bae-3304	220	32	0.1383	0.1383	NUM
bae-3304	220	33	0.0536	0.0536	NUM
bae-3304	220	34	5	5	NUM
bae-3304	220	35	0.1599	0.1599	NUM
bae-3304	220	36	0.4512	0.4512	NUM
bae-3304	220	37	0.8430	0.8430	NUM
bae-3304	220	38	0.5691	0.5691	NUM
bae-3304	220	39	0.0326	0.0326	NUM
bae-3304	220	40	0.0413	0.0413	NUM
bae-3304	220	41	0.0385	0.0385	NUM
bae-3304	220	42	0.0256	0.0256	NUM
bae-3304	220	43	6	6	NUM
bae-3304	220	44	0.6932	0.6932	NUM
bae-3304	220	45	0.9332	0.9332	NUM
bae-3304	220	46	0.5011	0.5011	NUM
bae-3304	220	47	0.1080	0.1080	NUM
bae-3304	220	48	0.0371	0.0371	NUM
bae-3304	220	49	0.0828	0.0828	NUM
bae-3304	220	50	0.1151	0.1151	NUM
bae-3304	220	51	0.1601	0.1601	NUM
bae-3304	220	52	7	7	NUM
bae-3304	220	53	0.0990	0.0990	NUM
bae-3304	220	54	0.2906	0.2906	NUM
bae-3304	220	55	0.3522	0.3522	NUM
bae-3304	220	56	0.1918	0.1918	NUM
bae-3304	220	57	0.0502	0.0502	NUM
bae-3304	220	58	0.0688	0.0688	NUM
bae-3304	220	59	0.0769	0.0769	NUM
bae-3304	220	60	0.0606	0.0606	NUM
bae-3304	220	61	8	8	NUM
bae-3304	220	62	0.1347	0.1347	NUM
bae-3304	220	63	0.2714	0.2714	NUM
bae-3304	220	64	0.2307	0.2307	NUM
bae-3304	220	65	0.0823	0.0823	NUM
bae-3304	220	66	0.1288	0.1288	NUM
bae-3304	220	67	0.1292	0.1292	NUM
bae-3304	220	68	0.1022	0.1022	NUM
bae-3304	220	69	0.0931	0.0931	NUM
bae-3304	220	70	9	9	NUM
bae-3304	220	71	0.1303	0.1303	NUM
bae-3304	220	72	0.2670	0.2670	NUM
bae-3304	220	73	0.3384	0.3384	NUM
bae-3304	220	74	0.1544	0.1544	NUM
bae-3304	220	75	0.0376	0.0376	NUM
bae-3304	220	76	0.0335	0.0335	NUM
bae-3304	220	77	0.0426	0.0426	NUM
bae-3304	220	78	0.0576	0.0576	NUM
bae-3304	220	79	10	10	NUM
bae-3304	220	80	0.2954	0.2954	NUM
bae-3304	220	81	0.3940	0.3940	NUM
bae-3304	220	82	1.9745	1.9745	NUM
bae-3304	220	83	0.9603	0.9603	NUM
bae-3304	220	84	0.1027	0.1027	NUM
bae-3304	221	1	0.0930	0.0930	NUM
bae-3304	221	2	0.0649	0.0649	NUM
bae-3304	221	3	0.0825	0.0825	NUM
bae-3304	221	4	11	11	NUM
bae-3304	221	5	0.1085	0.1085	NUM
bae-3304	221	6	0.3682	0.3682	NUM
bae-3304	221	7	0.2755	0.2755	NUM
bae-3304	221	8	0.2195	0.2195	NUM
bae-3304	221	9	0.0424	0.0424	NUM
bae-3304	221	10	0.0737	0.0737	NUM
bae-3304	221	11	0.0417	0.0417	NUM
bae-3304	221	12	0.0539	0.0539	NUM
bae-3304	221	13	12	12	NUM
bae-3304	221	14	0.1843	0.1843	NUM
bae-3304	221	15	0.2692	0.2692	NUM
bae-3304	221	16	0.2407	0.2407	NUM
bae-3304	221	17	0.1197	0.1197	NUM
bae-3304	221	18	0.1555	0.1555	NUM
bae-3304	221	19	0.1079	0.1079	NUM
bae-3304	221	20	0.0685	0.0685	NUM
bae-3304	221	21	0.1868	0.1868	NUM
bae-3304	221	22	13	13	NUM
bae-3304	221	23	0.0947	0.0947	NUM
bae-3304	221	24	0.2861	0.2861	NUM
bae-3304	221	25	0.4050	0.4050	NUM
bae-3304	221	26	0.1486	0.1486	NUM
bae-3304	221	27	0.0299	0.0299	NUM
bae-3304	221	28	0.0336	0.0336	NUM
bae-3304	221	29	0.0454	0.0454	NUM
bae-3304	221	30	0.0689	0.0689	NUM
bae-3304	221	31	14	14	NUM
bae-3304	221	32	0.0883	0.0883	NUM
bae-3304	221	33	0.2455	0.2455	NUM
bae-3304	221	34	0.3772	0.3772	NUM
bae-3304	221	35	0.1349	0.1349	NUM
bae-3304	221	36	0.0564	0.0564	NUM
bae-3304	221	37	0.0795	0.0795	NUM
bae-3304	221	38	0.1175	0.1175	NUM
bae-3304	221	39	0.0711	0.0711	NUM
bae-3304	221	40	31cost	31cost	NUM
bae-3304	221	41	function	function	NOUN
bae-3304	221	42	and	and	CCONJ
bae-3304	221	43	positive	positive	ADJ
bae-3304	221	44	mathematical	mathematical	ADJ
bae-3304	221	45	programming	programming	NOUN
bae-3304	221	46	subject	subject	NOUN
bae-3304	221	47	to	to	ADP
bae-3304	221	48	(	(	PUNCT
bae-3304	221	49	ʹf̂txt	ʹf̂txt	NUM
bae-3304	221	50	)	)	PUNCT
bae-3304	221	51	ĝ	ĝ	PROPN
bae-3304	221	52	t	t	PROPN
bae-3304	221	53	+	+	CCONJ
bae-3304	221	54	ĝ	ĝ	PROPN
bae-3304	221	55	t	t	PROPN
bae-3304	221	56	(	(	PUNCT
bae-3304	221	57	ʹxtq̂txt	ʹxtq̂txt	PROPN
bae-3304	221	58	)	)	PUNCT
bae-3304	221	59	/	/	SYM
bae-3304	222	1	2	2	NUM
bae-3304	222	2	+	+	ADJ
bae-3304	222	3	(	(	PUNCT
bae-3304	222	4	ʹf̂txt	ʹf̂txt	NUM
bae-3304	222	5	)	)	PUNCT
bae-3304	222	6	δ(yt	δ(yt	X
bae-3304	222	7	−1/2	−1/2	ADJ
bae-3304	222	8	)	)	PUNCT
bae-3304	223	1	́	́	PROPN
bae-3304	223	2	ĝt	ĝt	VERB
bae-3304	223	3	yt	yt	PRON
bae-3304	223	4	1/2	1/2	NUM
bae-3304	223	5	+	+	NUM
bae-3304	223	6	z	z	NOUN
bae-3304	223	7	pt	pt	NOUN
bae-3304	224	1	=	=	NOUN
bae-3304	224	2	bt	bt	NOUN
bae-3304	224	3	+	+	NOUN
bae-3304	224	4	vtût	vtût	NOUN
bae-3304	224	5	(	(	PUNCT
bae-3304	224	6	ʹg	ʹg	PROPN
bae-3304	224	7	t	t	PROPN
bae-3304	224	8	yt	yt	PROPN
bae-3304	224	9	)	)	PUNCT
bae-3304	224	10	f̂t	f̂t	PROPN
bae-3304	224	11	+	+	PROPN
bae-3304	224	12	(	(	PUNCT
bae-3304	224	13	ʹg	ʹg	PROPN
bae-3304	224	14	t	t	PROPN
bae-3304	224	15	yt	yt	PROPN
bae-3304	224	16	)	)	PUNCT
bae-3304	224	17	q̂txt	q̂txt	PROPN
bae-3304	224	18	+	+	CCONJ
bae-3304	224	19	f̂t[(yt	f̂t[(yt	NUM
bae-3304	224	20	1/2	1/2	NUM
bae-3304	224	21	)	)	PUNCT
bae-3304	224	22	́	́	PUNCT
bae-3304	224	23	ĝt	ĝt	VERB
bae-3304	224	24	yt	yt	PRON
bae-3304	224	25	1/2]=	1/2]=	NUM
bae-3304	224	26	pt	pt	NOUN
bae-3304	224	27	+	+	X
bae-3304	224	28	zdt	zdt	NUM
bae-3304	224	29	with	with	ADP
bae-3304	224	30	xt	xt	PROPN
bae-3304	224	31	≥	≥	PROPN
bae-3304	224	32	0	0	NUM
bae-3304	224	33	,	,	PUNCT
bae-3304	224	34	yt	yt	VERB
bae-3304	224	35	≥	≥	NOUN
bae-3304	224	36	0	0	NUM
bae-3304	224	37	,	,	PUNCT
bae-3304	224	38	zpt	zpt	VERB
bae-3304	224	39	≥	≥	NOUN
bae-3304	224	40	0	0	NUM
bae-3304	224	41	,	,	PUNCT
bae-3304	224	42	zdt	zdt	PROPN
bae-3304	224	43	≥	≥	NUM
bae-3304	224	44	0	0	NUM
bae-3304	224	45	.	.	PUNCT
bae-3304	225	1	the	the	DET
bae-3304	225	2	variables	variable	NOUN
bae-3304	225	3	zpt	zpt	VERB
bae-3304	225	4	and	and	CCONJ
bae-3304	225	5	zdt	zdt	PRON
bae-3304	225	6	are	be	AUX
bae-3304	225	7	slack	slack	NOUN
bae-3304	225	8	-	-	PUNCT
bae-3304	225	9	surplus	surplus	NOUN
bae-3304	225	10	variables	variable	NOUN
bae-3304	225	11	of	of	ADP
bae-3304	225	12	the	the	DET
bae-3304	225	13	primal	primal	ADJ
bae-3304	225	14	and	and	CCONJ
bae-3304	225	15	dual	dual	ADJ
bae-3304	225	16	constraints	constraint	NOUN
bae-3304	225	17	,	,	PUNCT
bae-3304	225	18	respectively	respectively	ADV
bae-3304	225	19	.	.	PUNCT
bae-3304	226	1	the	the	DET
bae-3304	226	2	objective	objective	ADJ
bae-3304	226	3	function	function	NOUN
bae-3304	226	4	(	(	PUNCT
bae-3304	226	5	csc	csc	PROPN
bae-3304	226	6	)	)	PUNCT
bae-3304	226	7	of	of	ADP
bae-3304	226	8	model	model	NOUN
bae-3304	226	9	(	(	PUNCT
bae-3304	226	10	41	41	NUM
bae-3304	226	11	)	)	PUNCT
bae-3304	226	12	combines	combine	VERB
bae-3304	226	13	all	all	DET
bae-3304	226	14	the	the	DET
bae-3304	226	15	complementary	complementary	ADJ
bae-3304	226	16	slackness	slackness	NOUN
bae-3304	226	17	conditions	condition	NOUN
bae-3304	226	18	of	of	ADP
bae-3304	226	19	the	the	DET
bae-3304	226	20	farm	farm	NOUN
bae-3304	226	21	(	(	PUNCT
bae-3304	226	22	region	region	NOUN
bae-3304	226	23	,	,	PUNCT
bae-3304	226	24	area	area	NOUN
bae-3304	226	25	)	)	PUNCT
bae-3304	226	26	.	.	PUNCT
bae-3304	227	1	hence	hence	ADV
bae-3304	227	2	,	,	PUNCT
bae-3304	227	3	its	its	PRON
bae-3304	227	4	optimal	optimal	ADJ
bae-3304	227	5	value	value	NOUN
bae-3304	227	6	must	must	AUX
bae-3304	227	7	be	be	AUX
bae-3304	227	8	equal	equal	ADJ
bae-3304	227	9	to	to	ADP
bae-3304	227	10	zero	zero	NUM
bae-3304	227	11	.	.	PUNCT
bae-3304	228	1	the	the	DET
bae-3304	228	2	solution	solution	NOUN
bae-3304	228	3	of	of	ADP
bae-3304	228	4	the	the	DET
bae-3304	228	5	equilibrium	equilibrium	NOUN
bae-3304	228	6	model	model	NOUN
bae-3304	228	7	(	(	PUNCT
bae-3304	228	8	41	41	NUM
bae-3304	228	9	)	)	PUNCT
bae-3304	228	10	produces	produce	VERB
bae-3304	228	11	optimal	optimal	ADJ
bae-3304	228	12	values	value	NOUN
bae-3304	228	13	of	of	ADP
bae-3304	228	14	the	the	DET
bae-3304	228	15	primal	primal	ADJ
bae-3304	228	16	and	and	CCONJ
bae-3304	228	17	dual	dual	ADJ
bae-3304	228	18	variables	variable	NOUN
bae-3304	228	19	,	,	PUNCT
bae-3304	228	20	xt	xt	PUNCT
bae-3304	228	21	and	and	CCONJ
bae-3304	228	22	yt	yt	NOUN
bae-3304	228	23	that	that	PRON
bae-3304	228	24	are	be	AUX
bae-3304	228	25	identical	identical	ADJ
bae-3304	228	26	to	to	ADP
bae-3304	228	27	the	the	DET
bae-3304	228	28	solution	solution	NOUN
bae-3304	228	29	values	value	NOUN
bae-3304	228	30	of	of	ADP
bae-3304	228	31	model	model	NOUN
bae-3304	228	32	(	(	PUNCT
bae-3304	228	33	20)-(23	20)-(23	NUM
bae-3304	228	34	)	)	PUNCT
bae-3304	228	35	.	.	PUNCT
bae-3304	229	1	notice	notice	VERB
bae-3304	229	2	that	that	SCONJ
bae-3304	229	3	the	the	DET
bae-3304	229	4	matrix	matrix	NOUN
bae-3304	229	5	of	of	ADP
bae-3304	229	6	constant	constant	ADJ
bae-3304	229	7	technical	technical	ADJ
bae-3304	229	8	coefficients	coefficient	NOUN
bae-3304	229	9	,	,	PUNCT
bae-3304	229	10	at	at	ADP
bae-3304	229	11	,	,	PUNCT
bae-3304	229	12	no	no	ADV
bae-3304	229	13	longer	long	ADV
bae-3304	229	14	appears	appear	VERB
bae-3304	229	15	in	in	ADP
bae-3304	229	16	the	the	DET
bae-3304	229	17	calibrating	calibrate	VERB
bae-3304	229	18	equilibrium	equilibrium	NOUN
bae-3304	229	19	model	model	NOUN
bae-3304	229	20	(	(	PUNCT
bae-3304	229	21	41	41	NUM
bae-3304	229	22	)	)	PUNCT
bae-3304	229	23	.	.	PUNCT
bae-3304	230	1	this	this	DET
bae-3304	230	2	elimination	elimination	NOUN
bae-3304	230	3	removes	remove	VERB
bae-3304	230	4	the	the	DET
bae-3304	230	5	last	last	ADJ
bae-3304	230	6	vestige	vestige	NOUN
bae-3304	230	7	of	of	ADP
bae-3304	230	8	a	a	DET
bae-3304	230	9	linear	linear	ADJ
bae-3304	230	10	structure	structure	NOUN
bae-3304	230	11	that	that	PRON
bae-3304	230	12	has	have	AUX
bae-3304	230	13	been	be	AUX
bae-3304	230	14	considered	consider	VERB
bae-3304	230	15	too	too	ADV
bae-3304	230	16	rigid	rigid	ADJ
bae-3304	230	17	for	for	ADP
bae-3304	230	18	representing	represent	VERB
bae-3304	230	19	the	the	DET
bae-3304	230	20	choices	choice	NOUN
bae-3304	230	21	of	of	ADP
bae-3304	230	22	a	a	DET
bae-3304	230	23	producer	producer	NOUN
bae-3304	230	24	.	.	PUNCT
bae-3304	231	1	model	model	NOUN
bae-3304	231	2	(	(	PUNCT
bae-3304	231	3	41	41	NUM
bae-3304	231	4	)	)	PUNCT
bae-3304	231	5	can	can	AUX
bae-3304	231	6	be	be	AUX
bae-3304	231	7	used	use	VERB
bae-3304	231	8	to	to	PART
bae-3304	231	9	perform	perform	VERB
bae-3304	231	10	response	response	NOUN
bae-3304	231	11	analysis	analysis	NOUN
bae-3304	231	12	to	to	ADP
bae-3304	231	13	variations	variation	NOUN
bae-3304	231	14	in	in	ADP
bae-3304	231	15	prices	price	NOUN
bae-3304	231	16	,	,	PUNCT
bae-3304	231	17	subsidies	subsidy	NOUN
bae-3304	231	18	,	,	PUNCT
bae-3304	231	19	quotas	quota	NOUN
bae-3304	231	20	,	,	PUNCT
bae-3304	231	21	input	input	NOUN
bae-3304	231	22	quantities	quantity	NOUN
bae-3304	231	23	,	,	PUNCT
bae-3304	231	24	and	and	CCONJ
bae-3304	231	25	other	other	ADJ
bae-3304	231	26	parameters	parameter	NOUN
bae-3304	231	27	for	for	ADP
bae-3304	231	28	a	a	DET
bae-3304	231	29	variety	variety	NOUN
bae-3304	231	30	of	of	ADP
bae-3304	231	31	policy	policy	NOUN
bae-3304	231	32	scenarios	scenario	NOUN
bae-3304	231	33	.	.	PUNCT
bae-3304	232	1	8	8	X
bae-3304	232	2	.	.	X
bae-3304	233	1	pmp	pmp	PROPN
bae-3304	233	2	uniqueness	uniqueness	NOUN
bae-3304	233	3	with	with	ADP
bae-3304	233	4	missing	miss	VERB
bae-3304	233	5	observations	observation	NOUN
bae-3304	233	6	empirical	empirical	ADJ
bae-3304	233	7	reality	reality	NOUN
bae-3304	233	8	compels	compel	VERB
bae-3304	233	9	a	a	DET
bae-3304	233	10	further	further	ADJ
bae-3304	233	11	consideration	consideration	NOUN
bae-3304	233	12	of	of	ADP
bae-3304	233	13	the	the	DET
bae-3304	233	14	above	above	ADJ
bae-3304	233	15	methodology	methodology	NOUN
bae-3304	233	16	in	in	ADP
bae-3304	233	17	order	order	NOUN
bae-3304	233	18	to	to	PART
bae-3304	233	19	deal	deal	VERB
bae-3304	233	20	with	with	ADP
bae-3304	233	21	farm	farm	NOUN
bae-3304	233	22	samples	sample	NOUN
bae-3304	233	23	where	where	SCONJ
bae-3304	233	24	not	not	PART
bae-3304	233	25	all	all	DET
bae-3304	233	26	farms	farm	NOUN
bae-3304	233	27	produce	produce	VERB
bae-3304	233	28	all	all	DET
bae-3304	233	29	commodities	commodity	NOUN
bae-3304	233	30	.	.	PUNCT
bae-3304	234	1	it	it	PRON
bae-3304	234	2	turns	turn	VERB
bae-3304	234	3	out	out	ADP
bae-3304	234	4	that	that	SCONJ
bae-3304	234	5	very	very	ADV
bae-3304	234	6	little	little	ADJ
bae-3304	234	7	must	must	AUX
bae-3304	234	8	be	be	AUX
bae-3304	234	9	changed	change	VERB
bae-3304	234	10	for	for	ADP
bae-3304	234	11	obtaining	obtain	VERB
bae-3304	234	12	a	a	DET
bae-3304	234	13	unique	unique	ADJ
bae-3304	234	14	and	and	CCONJ
bae-3304	234	15	calibrating	calibrate	VERB
bae-3304	234	16	solution	solution	NOUN
bae-3304	234	17	in	in	ADP
bae-3304	234	18	the	the	DET
bae-3304	234	19	presence	presence	NOUN
bae-3304	234	20	of	of	ADP
bae-3304	234	21	missing	miss	VERB
bae-3304	234	22	commodities	commodity	NOUN
bae-3304	234	23	,	,	PUNCT
bae-3304	234	24	their	their	PRON
bae-3304	234	25	prices	price	NOUN
bae-3304	234	26	and	and	CCONJ
bae-3304	234	27	the	the	DET
bae-3304	234	28	corresponding	corresponding	ADJ
bae-3304	234	29	technical	technical	ADJ
bae-3304	234	30	coefficients	coefficient	NOUN
bae-3304	234	31	.	.	PUNCT
bae-3304	235	1	to	to	PART
bae-3304	235	2	exemplify	exemplify	VERB
bae-3304	235	3	,	,	PUNCT
bae-3304	235	4	suppose	suppose	VERB
bae-3304	235	5	that	that	SCONJ
bae-3304	235	6	the	the	DET
bae-3304	235	7	farm	farm	NOUN
bae-3304	235	8	sample	sample	NOUN
bae-3304	235	9	displays	display	VERB
bae-3304	235	10	the	the	DET
bae-3304	235	11	following	follow	VERB
bae-3304	235	12	table	table	NOUN
bae-3304	235	13	7	7	NUM
bae-3304	235	14	of	of	ADP
bae-3304	235	15	observed	observed	ADJ
bae-3304	235	16	crop	crop	NOUN
bae-3304	235	17	levels	level	NOUN
bae-3304	235	18	.	.	PUNCT
bae-3304	236	1	table	table	NOUN
bae-3304	236	2	7	7	NUM
bae-3304	236	3	.	.	PUNCT
bae-3304	236	4	observed	observe	VERB
bae-3304	236	5	output	output	NOUN
bae-3304	236	6	levels	level	NOUN
bae-3304	236	7	,	,	PUNCT
bae-3304	236	8	x	x	PUNCT
bae-3304	236	9	with	with	ADP
bae-3304	236	10	non	non	ADJ
bae-3304	236	11	produced	produce	VERB
bae-3304	236	12	commodities	commodity	NOUN
bae-3304	236	13	.	.	PUNCT
bae-3304	237	1	farm	farm	NOUN
bae-3304	237	2	sugar	sugar	NOUN
bae-3304	237	3	beet	beet	PROPN
bae-3304	237	4	soft	soft	ADJ
bae-3304	237	5	wheat	wheat	NOUN
bae-3304	237	6	corn	corn	NOUN
bae-3304	237	7	barley	barley	NOUN
bae-3304	238	1	x1	x1	PROPN
bae-3304	239	1	x2	x2	PROPN
bae-3304	239	2	x3	x3	PROPN
bae-3304	239	3	x4	x4	PROPN
bae-3304	240	1	1	1	NUM
bae-3304	240	2	1133.4240	1133.4240	NUM
bae-3304	240	3	0.0	0.0	NUM
bae-3304	240	4	341.3693	341.3693	NUM
bae-3304	240	5	18.2398	18.2398	NUM
bae-3304	240	6	2	2	NUM
bae-3304	240	7	3103.7830	3103.7830	NUM
bae-3304	240	8	861.7445	861.7445	NUM
bae-3304	240	9	0.0	0.0	NUM
bae-3304	240	10	59.8025	59.8025	NUM
bae-3304	240	11	3	3	NUM
bae-3304	240	12	0.0	0.0	NUM
bae-3304	240	13	450.7937	450.7937	NUM
bae-3304	240	14	881.9748	881.9748	NUM
bae-3304	240	15	0.0	0.0	NUM
bae-3304	240	16	4	4	NUM
bae-3304	240	17	3488.3540	3488.3540	NUM
bae-3304	240	18	821.3934	821.3934	NUM
bae-3304	240	19	1493.332	1493.332	NUM
bae-3304	240	20	51.1247	51.1247	NUM
bae-3304	240	21	5	5	NUM
bae-3304	240	22	959.1102	959.1102	NUM
bae-3304	240	23	468.2848	468.2848	NUM
bae-3304	240	24	0.0	0.0	NUM
bae-3304	240	25	28.2406	28.2406	NUM
bae-3304	240	26	6	6	NUM
bae-3304	240	27	942.2039	942.2039	NUM
bae-3304	240	28	801.1288	801.1288	NUM
bae-3304	240	29	1283.591	1283.591	NUM
bae-3304	240	30	152.581	152.581	NUM
bae-3304	240	31	7	7	NUM
bae-3304	240	32	1600.7310	1600.7310	NUM
bae-3304	240	33	0.0	0.0	NUM
bae-3304	240	34	899.4739	899.4739	NUM
bae-3304	240	35	66.9718	66.9718	NUM
bae-3304	240	36	8	8	NUM
bae-3304	240	37	0.0	0.0	NUM
bae-3304	240	38	1212.8550	1212.8550	NUM
bae-3304	240	39	1237.584	1237.584	NUM
bae-3304	240	40	98.0497	98.0497	NUM
bae-3304	240	41	9	9	NUM
bae-3304	240	42	1050.5370	1050.5370	NUM
bae-3304	240	43	332.3773	332.3773	NUM
bae-3304	240	44	0.0	0.0	NUM
bae-3304	240	45	63.6696	63.6696	NUM
bae-3304	240	46	10	10	NUM
bae-3304	240	47	3473.6780	3473.6780	NUM
bae-3304	240	48	952.5199	952.5199	NUM
bae-3304	240	49	774.7402	774.7402	NUM
bae-3304	240	50	0.0	0.0	NUM
bae-3304	240	51	11	11	NUM
bae-3304	240	52	0.0	0.0	NUM
bae-3304	240	53	765.1689	765.1689	NUM
bae-3304	240	54	501.9673	501.9673	NUM
bae-3304	240	55	59.5366	59.5366	NUM
bae-3304	240	56	12	12	NUM
bae-3304	240	57	3276.1450	3276.1450	NUM
bae-3304	240	58	1100.1680	1100.1680	NUM
bae-3304	240	59	0.0	0.0	NUM
bae-3304	240	60	177.974	177.974	NUM
bae-3304	240	61	13	13	NUM
bae-3304	240	62	877.0970	877.0970	NUM
bae-3304	240	63	380.9171	380.9171	NUM
bae-3304	240	64	564.6091	564.6091	NUM
bae-3304	240	65	76.2122	76.2122	NUM
bae-3304	240	66	14	14	NUM
bae-3304	240	67	1430.9460	1430.9460	NUM
bae-3304	240	68	0.0	0.0	NUM
bae-3304	240	69	1309.392	1309.392	NUM
bae-3304	240	70	0.0	0.0	NUM
bae-3304	240	71	other	other	ADJ
bae-3304	240	72	missing	miss	VERB
bae-3304	240	73	information	information	NOUN
bae-3304	240	74	deals	deal	NOUN
bae-3304	240	75	with	with	ADP
bae-3304	240	76	prices	price	NOUN
bae-3304	240	77	and	and	CCONJ
bae-3304	240	78	unit	unit	NOUN
bae-3304	240	79	accounting	accounting	NOUN
bae-3304	240	80	costs	cost	NOUN
bae-3304	240	81	associated	associate	VERB
bae-3304	240	82	with	with	ADP
bae-3304	240	83	the	the	DET
bae-3304	240	84	zero	zero	NUM
bae-3304	240	85	-	-	PUNCT
bae-3304	240	86	levels	level	NOUN
bae-3304	240	87	of	of	ADP
bae-3304	240	88	crops	crop	NOUN
bae-3304	240	89	.	.	PUNCT
bae-3304	241	1	furthermore	furthermore	ADV
bae-3304	241	2	,	,	PUNCT
bae-3304	241	3	the	the	DET
bae-3304	241	4	technical	technical	ADJ
bae-3304	241	5	coefficients	coefficient	NOUN
bae-3304	241	6	of	of	ADP
bae-3304	241	7	the	the	DET
bae-3304	241	8	farms	farm	NOUN
bae-3304	241	9	not	not	PART
bae-3304	241	10	pro32	pro32	PROPN
bae-3304	241	11	q.	q.	PROPN
bae-3304	241	12	paris	paris	PROPN
bae-3304	241	13	ducing	duce	VERB
bae-3304	241	14	the	the	DET
bae-3304	241	15	observed	observe	VERB
bae-3304	241	16	crops	crop	NOUN
bae-3304	241	17	also	also	ADV
bae-3304	241	18	equal	equal	ADJ
bae-3304	241	19	to	to	ADP
bae-3304	241	20	zero	zero	NUM
bae-3304	241	21	.	.	PUNCT
bae-3304	242	1	hence	hence	ADV
bae-3304	242	2	,	,	PUNCT
bae-3304	242	3	we	we	PRON
bae-3304	242	4	can	can	AUX
bae-3304	242	5	state	state	VERB
bae-3304	242	6	that	that	SCONJ
bae-3304	242	7	,	,	PUNCT
bae-3304	242	8	for	for	ADP
bae-3304	242	9	t	t	NOUN
bae-3304	242	10	=	=	SYM
bae-3304	242	11	1,	1,	NUM
bae-3304	242	12	…	…	SYM
bae-3304	242	13	,t	,t	X
bae-3304	242	14	,	,	PUNCT
bae-3304	242	15	the	the	DET
bae-3304	242	16	number	number	NOUN
bae-3304	242	17	of	of	ADP
bae-3304	242	18	farms	farm	NOUN
bae-3304	242	19	,	,	PUNCT
bae-3304	242	20	and	and	CCONJ
bae-3304	242	21	j	j	PROPN
bae-3304	242	22	=	=	SYM
bae-3304	242	23	1,	1,	NUM
bae-3304	242	24	…	…	PUNCT
bae-3304	242	25	,j	,j	PUNCT
bae-3304	242	26	,	,	PUNCT
bae-3304	242	27	the	the	DET
bae-3304	242	28	number	number	NOUN
bae-3304	242	29	of	of	ADP
bae-3304	242	30	crops	crop	NOUN
bae-3304	242	31	,	,	PUNCT
bae-3304	242	32	if	if	SCONJ
bae-3304	242	33	xtj	xtj	PROPN
bae-3304	242	34	=	=	SYM
bae-3304	242	35	0	0	PUNCT
bae-3304	243	1	also	also	ADV
bae-3304	243	2	p	p	DET
bae-3304	243	3	ctj	ctj	ADJ
bae-3304	243	4	tj=	tj=	NOUN
bae-3304	243	5	=	=	NOUN
bae-3304	243	6	0	0	NUM
bae-3304	243	7	0	0	NUM
bae-3304	243	8	,	,	PUNCT
bae-3304	243	9	and	and	CCONJ
bae-3304	243	10	atij	atij	NOUN
bae-3304	243	11	=	=	SYM
bae-3304	243	12	0	0	NUM
bae-3304	243	13	.	.	PUNCT
bae-3304	244	1	furthermore	furthermore	ADV
bae-3304	244	2	,	,	PUNCT
bae-3304	244	3	suppose	suppose	VERB
bae-3304	244	4	that	that	SCONJ
bae-3304	244	5	only	only	ADV
bae-3304	244	6	one	one	NUM
bae-3304	244	7	input	input	NOUN
bae-3304	244	8	,	,	PUNCT
bae-3304	244	9	land	land	NOUN
bae-3304	244	10	,	,	PUNCT
bae-3304	244	11	is	be	AUX
bae-3304	244	12	involved	involve	VERB
bae-3304	244	13	in	in	ADP
bae-3304	244	14	this	this	DET
bae-3304	244	15	farm	farm	NOUN
bae-3304	244	16	sample	sample	NOUN
bae-3304	244	17	.	.	PUNCT
bae-3304	245	1	then	then	ADV
bae-3304	245	2	,	,	PUNCT
bae-3304	245	3	the	the	DET
bae-3304	245	4	land	land	NOUN
bae-3304	245	5	price	price	NOUN
bae-3304	245	6	is	be	AUX
bae-3304	245	7	observed	observe	VERB
bae-3304	245	8	for	for	ADP
bae-3304	245	9	all	all	DET
bae-3304	245	10	farms	farm	NOUN
bae-3304	245	11	.	.	PUNCT
bae-3304	246	1	as	as	ADP
bae-3304	246	2	to	to	ADP
bae-3304	246	3	the	the	DET
bae-3304	246	4	solution	solution	NOUN
bae-3304	246	5	of	of	ADP
bae-3304	246	6	the	the	DET
bae-3304	246	7	phase	phase	NOUN
bae-3304	246	8	i	i	PRON
bae-3304	246	9	pmp	pmp	PROPN
bae-3304	246	10	specification	specification	NOUN
bae-3304	246	11	,	,	PUNCT
bae-3304	246	12	we	we	PRON
bae-3304	246	13	expect	expect	VERB
bae-3304	246	14	that	that	SCONJ
bae-3304	246	15	x	x	X
bae-3304	246	16	x	x	X
bae-3304	246	17	htj	htj	NOUN
bae-3304	246	18	tj	tj	NOUN
bae-3304	246	19	tj=	tj=	NOUN
bae-3304	246	20	+	+	CCONJ
bae-3304	246	21	for	for	ADP
bae-3304	246	22	xtj	xtj	PROPN
bae-3304	246	23	>	>	X
bae-3304	246	24	0	0	PUNCT
bae-3304	247	1	and	and	CCONJ
bae-3304	247	2	h	h	NOUN
bae-3304	247	3	xtj	xtj	NOUN
bae-3304	247	4	tj=	tj=	NOUN
bae-3304	247	5	=	=	NOUN
bae-3304	247	6	0	0	NUM
bae-3304	247	7	for	for	ADP
bae-3304	247	8	xtj	xtj	NOUN
bae-3304	247	9	=	=	SYM
bae-3304	247	10	0	0	NUM
bae-3304	247	11	.	.	PUNCT
bae-3304	248	1	it	it	PRON
bae-3304	248	2	turns	turn	VERB
bae-3304	248	3	out	out	ADP
bae-3304	248	4	that	that	SCONJ
bae-3304	248	5	the	the	DET
bae-3304	248	6	least	least	ADJ
bae-3304	248	7	-	-	PUNCT
bae-3304	248	8	squares	square	NOUN
bae-3304	248	9	computation	computation	NOUN
bae-3304	248	10	of	of	ADP
bae-3304	248	11	the	the	DET
bae-3304	248	12	deviations	deviation	NOUN
bae-3304	248	13	uti	uti	PROPN
bae-3304	248	14	and	and	CCONJ
bae-3304	248	15	htj	htj	NOUN
bae-3304	248	16	expressed	express	VERB
bae-3304	248	17	by	by	ADP
bae-3304	248	18	equation	equation	NOUN
bae-3304	248	19	(	(	PUNCT
bae-3304	248	20	29	29	NUM
bae-3304	248	21	)	)	PUNCT
bae-3304	248	22	produces	produce	VERB
bae-3304	248	23	the	the	DET
bae-3304	248	24	desired	desire	VERB
bae-3304	248	25	estimates	estimate	NOUN
bae-3304	248	26	of	of	ADP
bae-3304	248	27	the	the	DET
bae-3304	248	28	deviations	deviation	NOUN
bae-3304	248	29	htj	htj	NOUN
bae-3304	248	30	and	and	CCONJ
bae-3304	248	31	crop	crop	NOUN
bae-3304	248	32	levels	level	NOUN
bae-3304	248	33	xtj	xtj	VERB
bae-3304	248	34	when	when	SCONJ
bae-3304	248	35	the	the	DET
bae-3304	248	36	observed	observed	ADJ
bae-3304	248	37	level	level	NOUN
bae-3304	248	38	of	of	ADP
bae-3304	248	39	those	those	DET
bae-3304	248	40	crops	crop	NOUN
bae-3304	248	41	equals	equal	VERB
bae-3304	248	42	zero	zero	NUM
bae-3304	248	43	,	,	PUNCT
bae-3304	248	44	xtj	xtj	X
bae-3304	249	1	=	=	SYM
bae-3304	249	2	0	0	PROPN
bae-3304	249	3	.	.	PUNCT
bae-3304	250	1	this	this	PRON
bae-3304	250	2	is	be	AUX
bae-3304	250	3	so	so	SCONJ
bae-3304	250	4	because	because	SCONJ
bae-3304	250	5	the	the	DET
bae-3304	250	6	first	first	ADJ
bae-3304	250	7	term	term	NOUN
bae-3304	250	8	on	on	ADP
bae-3304	250	9	the	the	DET
bae-3304	250	10	rhs	rhs	PROPN
bae-3304	250	11	of	of	ADP
bae-3304	250	12	(	(	PUNCT
bae-3304	250	13	29	29	NUM
bae-3304	250	14	)	)	PUNCT
bae-3304	250	15	is	be	AUX
bae-3304	250	16	equal	equal	ADJ
bae-3304	250	17	to	to	ADP
bae-3304	250	18	zero	zero	NUM
bae-3304	250	19	by	by	ADP
bae-3304	250	20	construction	construction	NOUN
bae-3304	250	21	,	,	PUNCT
bae-3304	250	22	bi	bi	NOUN
bae-3304	250	23	−	−	PROPN
bae-3304	250	24	aijj=1	aijj=1	PROPN
bae-3304	251	1	j	j	PROPN
bae-3304	251	2	∑	∑	PUNCT
bae-3304	251	3	x	x	PROPN
bae-3304	251	4	j	j	PROPN
bae-3304	251	5	=	=	NOUN
bae-3304	251	6	bi	bi	NOUN
bae-3304	251	7	−	−	PROPN
bae-3304	251	8	(	(	PUNCT
bae-3304	251	9	acresijj=1	acresijj=1	PROPN
bae-3304	251	10	j	j	PROPN
bae-3304	251	11	∑	∑	PROPN
bae-3304	251	12	/	/	SYM
bae-3304	251	13	x	x	SYM
bae-3304	251	14	j	j	PROPN
bae-3304	251	15	)	)	PUNCT
bae-3304	251	16	x	x	PROPN
bae-3304	251	17	j	j	PROPN
bae-3304	252	1	=	=	NOUN
bae-3304	252	2	0	0	NUM
bae-3304	252	3	.	.	PUNCT
bae-3304	253	1	the	the	DET
bae-3304	253	2	second	second	ADJ
bae-3304	253	3	term	term	NOUN
bae-3304	253	4	on	on	ADP
bae-3304	253	5	the	the	DET
bae-3304	253	6	rhs	rhs	PROPN
bae-3304	253	7	of	of	ADP
bae-3304	253	8	(	(	PUNCT
bae-3304	253	9	29	29	NUM
bae-3304	253	10	)	)	PUNCT
bae-3304	253	11	reduces	reduce	VERB
bae-3304	253	12	to	to	ADP
bae-3304	253	13	zero	zero	NUM
bae-3304	253	14	because	because	SCONJ
bae-3304	253	15	of	of	ADP
bae-3304	253	16	the	the	DET
bae-3304	253	17	zero	zero	NUM
bae-3304	253	18	information	information	NOUN
bae-3304	253	19	about	about	ADP
bae-3304	253	20	non	non	ADJ
bae-3304	253	21	-	-	ADJ
bae-3304	253	22	produced	produce	VERB
bae-3304	253	23	crops	crop	NOUN
bae-3304	253	24	,	,	PUNCT
bae-3304	253	25	pj	pj	PROPN
bae-3304	254	1	−	−	PROPN
bae-3304	254	2	aiji=1	aiji=1	PROPN
bae-3304	255	1	i	i	PRON
bae-3304	255	2	∑	∑	PUNCT
bae-3304	255	3	yi	yi	PROPN
bae-3304	255	4	−c	−c	NOUN
bae-3304	255	5	j	j	PROPN
bae-3304	256	1	=	=	NOUN
bae-3304	256	2	0−0yi	0−0yi	NOUN
bae-3304	256	3	−0=0	−0=0	VERB
bae-3304	256	4	therefore	therefore	ADV
bae-3304	256	5	,	,	PUNCT
bae-3304	256	6	h	h	NOUN
bae-3304	256	7	xˆ	xˆ	VERB
bae-3304	256	8	ˆ	ˆ	ADV
bae-3304	256	9	0tj	0tj	ADJ
bae-3304	256	10	tj=	tj=	NOUN
bae-3304	256	11	=	=	PUNCT
bae-3304	256	12	for	for	ADP
bae-3304	256	13	xtj	xtj	NOUN
bae-3304	256	14	=	=	SYM
bae-3304	256	15	0	0	NUM
bae-3304	256	16	and	and	CCONJ
bae-3304	256	17	the	the	DET
bae-3304	256	18	least	least	ADJ
bae-3304	256	19	-	-	PUNCT
bae-3304	256	20	squares	square	NOUN
bae-3304	256	21	pmp	pmp	NOUN
bae-3304	256	22	solution	solution	NOUN
bae-3304	256	23	is	be	AUX
bae-3304	256	24	unique	unique	ADJ
bae-3304	256	25	also	also	ADV
bae-3304	256	26	in	in	ADP
bae-3304	256	27	this	this	DET
bae-3304	256	28	more	more	ADV
bae-3304	256	29	elaborate	elaborate	ADJ
bae-3304	256	30	case	case	NOUN
bae-3304	256	31	.	.	PUNCT
bae-3304	257	1	the	the	DET
bae-3304	257	2	estimation	estimation	NOUN
bae-3304	257	3	of	of	ADP
bae-3304	257	4	the	the	DET
bae-3304	257	5	cost	cost	NOUN
bae-3304	257	6	function	function	NOUN
bae-3304	257	7	carries	carry	VERB
bae-3304	257	8	through	through	ADP
bae-3304	257	9	as	as	ADP
bae-3304	257	10	in	in	ADP
bae-3304	257	11	section	section	NOUN
bae-3304	257	12	6	6	NUM
bae-3304	257	13	without	without	ADP
bae-3304	257	14	modification	modification	NOUN
bae-3304	257	15	.	.	PUNCT
bae-3304	258	1	also	also	ADV
bae-3304	258	2	the	the	DET
bae-3304	258	3	phase	phase	NOUN
bae-3304	258	4	iii	iii	NOUN
bae-3304	258	5	calibrating	calibrate	VERB
bae-3304	258	6	model	model	NOUN
bae-3304	258	7	expressed	express	VERB
bae-3304	258	8	in	in	ADP
bae-3304	258	9	(	(	PUNCT
bae-3304	258	10	41	41	NUM
bae-3304	258	11	)	)	PUNCT
bae-3304	258	12	needs	need	VERB
bae-3304	258	13	no	no	DET
bae-3304	258	14	adjustment	adjustment	NOUN
bae-3304	258	15	.	.	PUNCT
bae-3304	259	1	9	9	X
bae-3304	259	2	.	.	X
bae-3304	259	3	results	result	NOUN
bae-3304	259	4	for	for	ADP
bae-3304	259	5	a	a	DET
bae-3304	259	6	farm	farm	NOUN
bae-3304	259	7	sample	sample	NOUN
bae-3304	259	8	with	with	ADP
bae-3304	259	9	missing	miss	VERB
bae-3304	259	10	production	production	NOUN
bae-3304	259	11	of	of	ADP
bae-3304	259	12	some	some	DET
bae-3304	259	13	crops	crop	NOUN
bae-3304	259	14	the	the	DET
bae-3304	259	15	observed	observe	VERB
bae-3304	259	16	crop	crop	NOUN
bae-3304	259	17	production	production	NOUN
bae-3304	259	18	of	of	ADP
bae-3304	259	19	a	a	DET
bae-3304	259	20	14	14	NUM
bae-3304	259	21	-	-	PUNCT
bae-3304	259	22	farm	farm	NOUN
bae-3304	259	23	sample	sample	NOUN
bae-3304	259	24	is	be	AUX
bae-3304	259	25	given	give	VERB
bae-3304	259	26	in	in	ADP
bae-3304	259	27	table	table	NOUN
bae-3304	259	28	7	7	NUM
bae-3304	259	29	.	.	PUNCT
bae-3304	260	1	also	also	ADV
bae-3304	260	2	the	the	DET
bae-3304	260	3	corresponding	corresponding	ADJ
bae-3304	260	4	output	output	NOUN
bae-3304	260	5	prices	price	NOUN
bae-3304	260	6	,	,	PUNCT
bae-3304	260	7	ptj	ptj	NOUN
bae-3304	260	8	=	=	SYM
bae-3304	260	9	0	0	NUM
bae-3304	260	10	and	and	CCONJ
bae-3304	260	11	accounting	accounting	NOUN
bae-3304	260	12	costs	cost	NOUN
bae-3304	260	13	,	,	PUNCT
bae-3304	260	14	ctj	ctj	NOUN
bae-3304	260	15	=	=	SYM
bae-3304	260	16	0	0	NUM
bae-3304	260	17	are	be	AUX
bae-3304	260	18	part	part	NOUN
bae-3304	260	19	of	of	ADP
bae-3304	260	20	the	the	DET
bae-3304	260	21	data	data	NOUN
bae-3304	260	22	sample	sample	NOUN
bae-3304	260	23	for	for	ADP
bae-3304	260	24	the	the	DET
bae-3304	260	25	no	no	DET
bae-3304	260	26	-	-	PUNCT
bae-3304	260	27	production	production	NOUN
bae-3304	260	28	levels	level	NOUN
bae-3304	260	29	xtj	xtj	PUNCT
bae-3304	261	1	=	=	SYM
bae-3304	261	2	0	0	PUNCT
bae-3304	261	3	as	as	SCONJ
bae-3304	261	4	reported	report	VERB
bae-3304	261	5	in	in	ADP
bae-3304	261	6	table	table	NOUN
bae-3304	261	7	7	7	NUM
bae-3304	261	8	.	.	PUNCT
bae-3304	262	1	furthermore	furthermore	ADV
bae-3304	262	2	,	,	PUNCT
bae-3304	262	3	atij	atij	NOUN
bae-3304	262	4	=	=	SYM
bae-3304	262	5	0	0	NUM
bae-3304	262	6	for	for	ADP
bae-3304	262	7	the	the	DET
bae-3304	262	8	same	same	ADJ
bae-3304	262	9	activities	activity	NOUN
bae-3304	262	10	of	of	ADP
bae-3304	262	11	no	no	DET
bae-3304	262	12	-	-	PUNCT
bae-3304	262	13	production	production	NOUN
bae-3304	262	14	.	.	PUNCT
bae-3304	263	1	table	table	NOUN
bae-3304	263	2	8	8	NUM
bae-3304	263	3	presents	present	VERB
bae-3304	263	4	the	the	DET
bae-3304	263	5	unique	unique	ADJ
bae-3304	263	6	least	least	ADJ
bae-3304	263	7	-	-	PUNCT
bae-3304	263	8	squares	square	NOUN
bae-3304	263	9	estimates	estimate	NOUN
bae-3304	263	10	of	of	ADP
bae-3304	263	11	the	the	DET
bae-3304	263	12	crop	crop	NOUN
bae-3304	263	13	levels	level	NOUN
bae-3304	263	14	and	and	CCONJ
bae-3304	263	15	the	the	DET
bae-3304	263	16	corresponding	corresponding	ADJ
bae-3304	263	17	percentage	percentage	NOUN
bae-3304	263	18	deviation	deviation	NOUN
bae-3304	263	19	from	from	ADP
bae-3304	263	20	the	the	DET
bae-3304	263	21	observed	observe	VERB
bae-3304	263	22	sample	sample	NOUN
bae-3304	263	23	data	datum	NOUN
bae-3304	263	24	.	.	PUNCT
bae-3304	264	1	table	table	NOUN
bae-3304	264	2	8	8	NUM
bae-3304	264	3	.	.	PUNCT
bae-3304	265	1	estimated	estimate	VERB
bae-3304	265	2	output	output	NOUN
bae-3304	265	3	levels	level	NOUN
bae-3304	265	4	,	,	PUNCT
bae-3304	265	5	x	x	PRON
bae-3304	265	6	and	and	CCONJ
bae-3304	265	7	percent	percent	NOUN
bae-3304	265	8	deviation	deviation	NOUN
bae-3304	265	9	(	(	PUNCT
bae-3304	265	10	dev	dev	PROPN
bae-3304	265	11	)	)	PUNCT
bae-3304	265	12	for	for	ADP
bae-3304	265	13	the	the	DET
bae-3304	265	14	sample	sample	NOUN
bae-3304	265	15	with	with	ADP
bae-3304	265	16	missing	miss	VERB
bae-3304	265	17	crop	crop	NOUN
bae-3304	265	18	production	production	NOUN
bae-3304	265	19	(	(	PUNCT
bae-3304	265	20	compare	compare	VERB
bae-3304	265	21	with	with	ADP
bae-3304	265	22	table	table	NOUN
bae-3304	265	23	7	7	NUM
bae-3304	265	24	)	)	PUNCT
bae-3304	265	25	.	.	PUNCT
bae-3304	266	1	farm	farm	NOUN
bae-3304	266	2	sugar	sugar	NOUN
bae-3304	266	3	beet	beet	PROPN
bae-3304	266	4	x1	x1	NUM
bae-3304	266	5	soft	soft	ADJ
bae-3304	266	6	wheat	wheat	NOUN
bae-3304	266	7	x2	x2	PROPN
bae-3304	266	8	corn	corn	NOUN
bae-3304	266	9	x3	x3	PROPN
bae-3304	266	10	barley	barley	NOUN
bae-3304	266	11	x4	x4	PROPN
bae-3304	266	12	sugar	sugar	NOUN
bae-3304	266	13	beet	beet	PROPN
bae-3304	266	14	%	%	NOUN
bae-3304	266	15	dev	dev	PROPN
bae-3304	266	16	soft	soft	ADJ
bae-3304	266	17	wheat	wheat	NOUN
bae-3304	266	18	%	%	NOUN
bae-3304	266	19	dev	dev	PROPN
bae-3304	266	20	corn	corn	NOUN
bae-3304	266	21	%	%	PROPN
bae-3304	266	22	dev	dev	PROPN
bae-3304	266	23	barley	barley	PROPN
bae-3304	266	24	%	%	PROPN
bae-3304	266	25	dev	dev	NOUN
bae-3304	267	1	1	1	NUM
bae-3304	268	1	1133.7140	1133.7140	NUM
bae-3304	268	2	0	0	NUM
bae-3304	269	1	341.9053	341.9053	NUM
bae-3304	269	2	18.4843	18.4843	NUM
bae-3304	269	3	0.0256	0.0256	NUM
bae-3304	269	4	0	0	NUM
bae-3304	269	5	0.1570	0.1570	NUM
bae-3304	269	6	1.3400	1.3400	NUM
bae-3304	269	7	2	2	NUM
bae-3304	269	8	3104.2820	3104.2820	NUM
bae-3304	269	9	862.1098	862.1098	NUM
bae-3304	269	10	0.0000	0.0000	NUM
bae-3304	269	11	60.1834	60.1834	NUM
bae-3304	269	12	0.0161	0.0161	NUM
bae-3304	269	13	0.0424	0.0424	NUM
bae-3304	269	14	0	0	NUM
bae-3304	269	15	0.6369	0.6369	NUM
bae-3304	269	16	3	3	NUM
bae-3304	269	17	0	0	NUM
bae-3304	269	18	450.7820	450.7820	NUM
bae-3304	269	19	882.0680	882.0680	NUM
bae-3304	269	20	0	0	NUM
bae-3304	269	21	0	0	NUM
bae-3304	269	22	-0.0026	-0.0026	NOUN
bae-3304	270	1	0.0106	0.0106	NUM
bae-3304	270	2	0	0	NUM
bae-3304	270	3	4	4	NUM
bae-3304	270	4	3488.4150	3488.4150	NUM
bae-3304	270	5	821.5529	821.5529	NUM
bae-3304	270	6	1493.6830	1493.6830	NUM
bae-3304	270	7	51.3938	51.3938	NUM
bae-3304	270	8	0.0017	0.0017	NUM
bae-3304	270	9	0.0194	0.0194	NUM
bae-3304	270	10	0.0235	0.0235	NUM
bae-3304	270	11	0.5264	0.5264	NUM
bae-3304	270	12	5	5	NUM
bae-3304	270	13	959.4208	959.4208	NUM
bae-3304	270	14	468.2891	468.2891	NUM
bae-3304	270	15	0	0	NUM
bae-3304	270	16	28.5614	28.5614	NUM
bae-3304	270	17	0.0324	0.0324	NUM
bae-3304	270	18	0.0009	0.0009	NUM
bae-3304	270	19	0	0	NUM
bae-3304	270	20	1.1360	1.1360	NUM
bae-3304	270	21	6	6	NUM
bae-3304	270	22	942.6667	942.6667	NUM
bae-3304	270	23	801.6001	801.6001	NUM
bae-3304	270	24	1284.1790	1284.1790	NUM
bae-3304	270	25	153.1671	153.1671	NUM
bae-3304	270	26	0.0491	0.0491	NUM
bae-3304	270	27	0.0588	0.0588	NUM
bae-3304	270	28	0.0458	0.0458	NUM
bae-3304	270	29	0.3840	0.3840	NUM
bae-3304	270	30	7	7	NUM
bae-3304	270	31	1601.1000	1601.1000	NUM
bae-3304	270	32	0	0	NUM
bae-3304	270	33	900.0223	900.0223	NUM
bae-3304	270	34	67.4290	67.4290	NUM
bae-3304	270	35	0.0231	0.0231	NUM
bae-3304	270	36	0	0	NUM
bae-3304	270	37	0.0610	0.0610	NUM
bae-3304	271	1	0.6825	0.6825	NUM
bae-3304	271	2	8	8	NUM
bae-3304	271	3	0	0	NUM
bae-3304	271	4	1213.4210	1213.4210	NUM
bae-3304	271	5	1238.1750	1238.1750	NUM
bae-3304	271	6	98.4298	98.4298	NUM
bae-3304	271	7	0	0	NUM
bae-3304	272	1	0.0466	0.0466	NUM
bae-3304	272	2	0.0478	0.0478	NUM
bae-3304	272	3	0.3876	0.3876	NUM
bae-3304	272	4	9	9	NUM
bae-3304	272	5	1050.9910	1050.9910	NUM
bae-3304	272	6	333.0022	333.0022	NUM
bae-3304	272	7	0	0	NUM
bae-3304	272	8	64.2084	64.2084	NUM
bae-3304	272	9	0.0433	0.0433	NUM
bae-3304	272	10	0.1880	0.1880	NUM
bae-3304	272	11	0	0	NUM
bae-3304	272	12	0.8463	0.8463	NUM
bae-3304	272	13	10	10	NUM
bae-3304	272	14	3474.0410	3474.0410	NUM
bae-3304	273	1	952.8955	952.8955	NUM
bae-3304	273	2	775.2208	775.2208	NUM
bae-3304	273	3	0	0	NUM
bae-3304	273	4	0.0105	0.0105	NUM
bae-3304	273	5	0.0394	0.0394	NUM
bae-3304	273	6	0.0620	0.0620	NUM
bae-3304	273	7	0	0	NUM
bae-3304	273	8	11	11	NUM
bae-3304	273	9	0	0	NUM
bae-3304	273	10	765.5305	765.5305	NUM
bae-3304	273	11	502.4727	502.4727	NUM
bae-3304	273	12	59.9640	59.9640	NUM
bae-3304	273	13	0	0	NUM
bae-3304	273	14	0.0473	0.0473	NUM
bae-3304	273	15	0.1007	0.1007	NUM
bae-3304	273	16	0.7179	0.7179	NUM
bae-3304	273	17	12	12	NUM
bae-3304	273	18	3276.6110	3276.6110	NUM
bae-3304	273	19	1100.5140	1100.5140	NUM
bae-3304	273	20	0	0	NUM
bae-3304	273	21	178.5547	178.5547	NUM
bae-3304	273	22	0.0142	0.0142	NUM
bae-3304	273	23	0.0314	0.0314	NUM
bae-3304	273	24	0	0	NUM
bae-3304	273	25	0.3260	0.3260	NUM
bae-3304	273	26	13	13	NUM
bae-3304	273	27	877.5201	877.5201	NUM
bae-3304	273	28	381.1268	381.1268	NUM
bae-3304	273	29	565.2019	565.2019	NUM
bae-3304	273	30	76.7330	76.7330	NUM
bae-3304	273	31	0.0482	0.0482	NUM
bae-3304	273	32	0.0550	0.0550	NUM
bae-3304	274	1	0.1050	0.1050	NUM
bae-3304	274	2	0.6833	0.6833	NUM
bae-3304	274	3	14	14	NUM
bae-3304	274	4	1431.3200	1431.3200	NUM
bae-3304	274	5	0	0	NUM
bae-3304	275	1	1309.8500	1309.8500	NUM
bae-3304	275	2	0	0	NUM
bae-3304	276	1	0.0261	0.0261	NUM
bae-3304	276	2	0	0	NUM
bae-3304	276	3	0.0350	0.0350	NUM
bae-3304	276	4	0	0	NUM
bae-3304	276	5	33cost	33cost	NUM
bae-3304	276	6	function	function	NOUN
bae-3304	276	7	and	and	CCONJ
bae-3304	276	8	positive	positive	ADJ
bae-3304	276	9	mathematical	mathematical	ADJ
bae-3304	276	10	programming	programming	NOUN
bae-3304	276	11	except	except	SCONJ
bae-3304	276	12	for	for	ADP
bae-3304	276	13	two	two	NUM
bae-3304	276	14	cells	cell	NOUN
bae-3304	276	15	,	,	PUNCT
bae-3304	276	16	the	the	DET
bae-3304	276	17	percent	percent	NOUN
bae-3304	276	18	deviations	deviation	NOUN
bae-3304	276	19	of	of	ADP
bae-3304	276	20	the	the	DET
bae-3304	276	21	estimated	estimate	VERB
bae-3304	276	22	crop	crop	NOUN
bae-3304	276	23	levels	level	NOUN
bae-3304	276	24	from	from	ADP
bae-3304	276	25	the	the	DET
bae-3304	276	26	observed	observe	VERB
bae-3304	276	27	production	production	NOUN
bae-3304	276	28	quantities	quantity	NOUN
bae-3304	276	29	are	be	AUX
bae-3304	276	30	below	below	ADP
bae-3304	276	31	1	1	NUM
bae-3304	276	32	percent	percent	NOUN
bae-3304	276	33	.	.	PUNCT
bae-3304	277	1	the	the	DET
bae-3304	277	2	cells	cell	NOUN
bae-3304	277	3	with	with	ADP
bae-3304	277	4	a	a	DET
bae-3304	277	5	zero	zero	NUM
bae-3304	277	6	estimated	estimate	VERB
bae-3304	277	7	quantity	quantity	NOUN
bae-3304	277	8	level	level	NOUN
bae-3304	277	9	correspond	correspond	NOUN
bae-3304	277	10	to	to	ADP
bae-3304	277	11	the	the	DET
bae-3304	277	12	cells	cell	NOUN
bae-3304	277	13	with	with	ADP
bae-3304	277	14	observed	observed	ADJ
bae-3304	277	15	zero	zero	NUM
bae-3304	277	16	level	level	NOUN
bae-3304	277	17	of	of	ADP
bae-3304	277	18	production	production	NOUN
bae-3304	277	19	,	,	PUNCT
bae-3304	277	20	as	as	ADP
bae-3304	277	21	in	in	ADP
bae-3304	277	22	table	table	NOUN
bae-3304	277	23	7	7	NUM
bae-3304	277	24	.	.	PUNCT
bae-3304	277	25	table	table	NOUN
bae-3304	278	1	9	9	NUM
bae-3304	278	2	presents	present	VERB
bae-3304	278	3	the	the	DET
bae-3304	278	4	estimated	estimate	VERB
bae-3304	278	5	land	land	NOUN
bae-3304	278	6	price	price	NOUN
bae-3304	278	7	and	and	CCONJ
bae-3304	278	8	the	the	DET
bae-3304	278	9	percent	percent	NOUN
bae-3304	278	10	deviation	deviation	NOUN
bae-3304	278	11	from	from	ADP
bae-3304	278	12	the	the	DET
bae-3304	278	13	observed	observe	VERB
bae-3304	278	14	input	input	NOUN
bae-3304	278	15	price	price	NOUN
bae-3304	278	16	.	.	PUNCT
bae-3304	279	1	table	table	NOUN
bae-3304	279	2	9	9	NUM
bae-3304	279	3	.	.	PUNCT
bae-3304	280	1	deviations	deviation	NOUN
bae-3304	280	2	of	of	ADP
bae-3304	280	3	ŷ	ŷ	NUM
bae-3304	280	4	from	from	ADP
bae-3304	280	5	y	y	PROPN
bae-3304	280	6	.	.	PUNCT
bae-3304	281	1	farm	farm	NOUN
bae-3304	281	2	estimated	estimate	VERB
bae-3304	281	3	land	land	NOUN
bae-3304	281	4	prices	price	NOUN
bae-3304	281	5	ŷ	ŷ	CCONJ
bae-3304	281	6	observed	observe	VERB
bae-3304	281	7	land	land	NOUN
bae-3304	281	8	prices	price	NOUN
bae-3304	281	9	y	y	NOUN
bae-3304	281	10	percent	percent	NOUN
bae-3304	281	11	deviation	deviation	NOUN
bae-3304	281	12	%	%	NOUN
bae-3304	281	13	1	1	NUM
bae-3304	281	14	4.428035	4.428035	NUM
bae-3304	281	15	4.42	4.42	NUM
bae-3304	281	16	0.1818	0.1818	NUM
bae-3304	281	17	2	2	NUM
bae-3304	281	18	4.382827	4.382827	NUM
bae-3304	281	19	4.38	4.38	NUM
bae-3304	281	20	0.0645	0.0645	NUM
bae-3304	281	21	3	3	NUM
bae-3304	281	22	6.980315	6.980315	NUM
bae-3304	281	23	6.98	6.98	NUM
bae-3304	281	24	0.0045	0.0045	NUM
bae-3304	281	25	4	4	NUM
bae-3304	281	26	5.731801	5.731801	NUM
bae-3304	281	27	5.73	5.73	NUM
bae-3304	281	28	0.0314	0.0314	NUM
bae-3304	281	29	5	5	NUM
bae-3304	281	30	4.402587	4.402587	NUM
bae-3304	281	31	4.40	4.40	NUM
bae-3304	281	32	0.0588	0.0588	NUM
bae-3304	281	33	6	6	NUM
bae-3304	281	34	1.861460	1.861460	NUM
bae-3304	281	35	1.86	1.86	NUM
bae-3304	281	36	0.0785	0.0785	NUM
bae-3304	281	37	7	7	NUM
bae-3304	281	38	3.653809	3.653809	NUM
bae-3304	281	39	3.65	3.65	NUM
bae-3304	281	40	0.1044	0.1044	NUM
bae-3304	281	41	8	8	NUM
bae-3304	281	42	3.362198	3.362198	NUM
bae-3304	281	43	3.36	3.36	NUM
bae-3304	281	44	0.0654	0.0654	NUM
bae-3304	281	45	9	9	NUM
bae-3304	281	46	2.756308	2.756308	NUM
bae-3304	281	47	2.75	2.75	NUM
bae-3304	281	48	0.2294	0.2294	NUM
bae-3304	281	49	10	10	NUM
bae-3304	281	50	4.281756	4.281756	NUM
bae-3304	281	51	4.28	4.28	NUM
bae-3304	281	52	0.0410	0.0410	NUM
bae-3304	281	53	11	11	NUM
bae-3304	281	54	3.283229	3.283229	NUM
bae-3304	281	55	3.28	3.28	NUM
bae-3304	281	56	0.0984	0.0984	NUM
bae-3304	281	57	12	12	NUM
bae-3304	281	58	1.931129	1.931129	NUM
bae-3304	281	59	1.93	1.93	NUM
bae-3304	281	60	0.0585	0.0585	NUM
bae-3304	281	61	13	13	NUM
bae-3304	281	62	2.322881	2.322881	NUM
bae-3304	281	63	2.32	2.32	NUM
bae-3304	281	64	0.1242	0.1242	NUM
bae-3304	281	65	14	14	NUM
bae-3304	281	66	4.031362	4.031362	NUM
bae-3304	281	67	4.03	4.03	NUM
bae-3304	281	68	0.0338	0.0338	NUM
bae-3304	281	69	the	the	DET
bae-3304	281	70	deviations	deviation	NOUN
bae-3304	281	71	of	of	ADP
bae-3304	281	72	the	the	DET
bae-3304	281	73	estimated	estimate	VERB
bae-3304	281	74	land	land	NOUN
bae-3304	281	75	prices	price	NOUN
bae-3304	281	76	from	from	ADP
bae-3304	281	77	the	the	DET
bae-3304	281	78	observed	observe	VERB
bae-3304	281	79	prices	price	NOUN
bae-3304	281	80	are	be	AUX
bae-3304	281	81	all	all	ADV
bae-3304	281	82	below	below	ADP
bae-3304	281	83	one	one	NUM
bae-3304	281	84	percent	percent	NOUN
bae-3304	281	85	.	.	PUNCT
bae-3304	282	1	table	table	NOUN
bae-3304	282	2	10	10	NUM
bae-3304	282	3	presents	present	VERB
bae-3304	282	4	the	the	DET
bae-3304	282	5	estimates	estimate	NOUN
bae-3304	282	6	of	of	ADP
bae-3304	282	7	the	the	DET
bae-3304	282	8	parameters	parameter	NOUN
bae-3304	282	9	of	of	ADP
bae-3304	282	10	the	the	DET
bae-3304	282	11	cost	cost	NOUN
bae-3304	282	12	function	function	NOUN
bae-3304	282	13	under	under	ADP
bae-3304	282	14	the	the	DET
bae-3304	282	15	condition	condition	NOUN
bae-3304	282	16	of	of	ADP
bae-3304	282	17	zero	zero	NUM
bae-3304	282	18	production	production	NOUN
bae-3304	282	19	for	for	ADP
bae-3304	282	20	some	some	DET
bae-3304	282	21	crops	crop	NOUN
bae-3304	282	22	in	in	ADP
bae-3304	282	23	various	various	ADJ
bae-3304	282	24	farms	farm	NOUN
bae-3304	282	25	.	.	PUNCT
bae-3304	283	1	table	table	NOUN
bae-3304	283	2	11	11	NUM
bae-3304	283	3	presents	present	VERB
bae-3304	283	4	the	the	DET
bae-3304	283	5	own	own	ADJ
bae-3304	283	6	price	price	NOUN
bae-3304	283	7	elasticities	elasticity	NOUN
bae-3304	283	8	of	of	ADP
bae-3304	283	9	the	the	DET
bae-3304	283	10	14	14	NUM
bae-3304	283	11	farms	farm	NOUN
bae-3304	283	12	that	that	PRON
bae-3304	283	13	correspond	correspond	VERB
bae-3304	283	14	to	to	ADP
bae-3304	283	15	the	the	DET
bae-3304	283	16	observed	observed	ADJ
bae-3304	283	17	and	and	CCONJ
bae-3304	283	18	exogenous	exogenous	ADJ
bae-3304	283	19	price	price	NOUN
bae-3304	283	20	elasticities	elasticity	NOUN
bae-3304	283	21	of	of	ADP
bae-3304	283	22	the	the	DET
bae-3304	283	23	four	four	NUM
bae-3304	283	24	crops	crop	NOUN
bae-3304	283	25	.	.	PUNCT
bae-3304	284	1	the	the	DET
bae-3304	284	2	calibrating	calibrate	VERB
bae-3304	284	3	model	model	NOUN
bae-3304	284	4	(	(	PUNCT
bae-3304	284	5	41	41	NUM
bae-3304	284	6	)	)	PUNCT
bae-3304	284	7	applies	apply	VERB
bae-3304	284	8	also	also	ADV
bae-3304	284	9	to	to	ADP
bae-3304	284	10	this	this	DET
bae-3304	284	11	data	data	NOUN
bae-3304	284	12	sample	sample	NOUN
bae-3304	284	13	without	without	ADP
bae-3304	284	14	any	any	DET
bae-3304	284	15	modification	modification	NOUN
bae-3304	284	16	.	.	PUNCT
bae-3304	285	1	10	10	NUM
bae-3304	285	2	.	.	PUNCT
bae-3304	286	1	conclusion	conclusion	NOUN
bae-3304	286	2	we	we	PRON
bae-3304	286	3	have	have	AUX
bae-3304	286	4	achieved	achieve	VERB
bae-3304	286	5	the	the	DET
bae-3304	286	6	objective	objective	NOUN
bae-3304	286	7	of	of	ADP
bae-3304	286	8	using	use	VERB
bae-3304	286	9	all	all	DET
bae-3304	286	10	the	the	DET
bae-3304	286	11	available	available	ADJ
bae-3304	286	12	information	information	NOUN
bae-3304	286	13	about	about	ADP
bae-3304	286	14	output	output	NOUN
bae-3304	286	15	quantities	quantity	NOUN
bae-3304	286	16	and	and	CCONJ
bae-3304	286	17	limiting	limit	VERB
bae-3304	286	18	input	input	NOUN
bae-3304	286	19	prices	price	NOUN
bae-3304	286	20	,	,	PUNCT
bae-3304	286	21	and	and	CCONJ
bae-3304	286	22	the	the	DET
bae-3304	286	23	formulation	formulation	NOUN
bae-3304	286	24	of	of	ADP
bae-3304	286	25	a	a	DET
bae-3304	286	26	calibrating	calibrate	VERB
bae-3304	286	27	pmp	pmp	PROPN
bae-3304	286	28	model	model	NOUN
bae-3304	286	29	that	that	PRON
bae-3304	286	30	is	be	AUX
bae-3304	286	31	free	free	ADJ
bae-3304	286	32	of	of	ADP
bae-3304	286	33	the	the	DET
bae-3304	286	34	rigidities	rigidity	NOUN
bae-3304	286	35	of	of	ADP
bae-3304	286	36	a	a	DET
bae-3304	286	37	linear	linear	ADJ
bae-3304	286	38	programming	programming	NOUN
bae-3304	286	39	structure	structure	NOUN
bae-3304	286	40	.	.	PUNCT
bae-3304	287	1	in	in	ADP
bae-3304	287	2	the	the	DET
bae-3304	287	3	process	process	NOUN
bae-3304	287	4	,	,	PUNCT
bae-3304	287	5	we	we	PRON
bae-3304	287	6	dispense	dispense	VERB
bae-3304	287	7	with	with	ADP
bae-3304	287	8	the	the	DET
bae-3304	287	9	necessity	necessity	NOUN
bae-3304	287	10	of	of	ADP
bae-3304	287	11	dealing	deal	VERB
bae-3304	287	12	with	with	ADP
bae-3304	287	13	the	the	DET
bae-3304	287	14	user	user	NOUN
bae-3304	287	15	-	-	PUNCT
bae-3304	287	16	determined	determine	VERB
bae-3304	287	17	vector	vector	NOUN
bae-3304	287	18	of	of	ADP
bae-3304	287	19	small	small	ADJ
bae-3304	287	20	and	and	CCONJ
bae-3304	287	21	arbitrary	arbitrary	ADJ
bae-3304	287	22	positive	positive	ADJ
bae-3304	287	23	numbers	number	NOUN
bae-3304	287	24	ε	ε	VERB
bae-3304	287	25	that	that	PRON
bae-3304	287	26	is	be	AUX
bae-3304	287	27	required	require	VERB
bae-3304	287	28	by	by	ADP
bae-3304	287	29	the	the	DET
bae-3304	287	30	traditional	traditional	ADJ
bae-3304	287	31	pmp	pmp	PROPN
bae-3304	287	32	methodology	methodology	NOUN
bae-3304	287	33	.	.	PUNCT
bae-3304	288	1	we	we	PRON
bae-3304	288	2	also	also	ADV
bae-3304	288	3	demonstrate	demonstrate	VERB
bae-3304	288	4	the	the	DET
bae-3304	288	5	uniqueness	uniqueness	NOUN
bae-3304	288	6	of	of	ADP
bae-3304	288	7	the	the	DET
bae-3304	288	8	calibrating	calibrate	VERB
bae-3304	288	9	solution	solution	NOUN
bae-3304	288	10	.	.	PUNCT
bae-3304	289	1	two	two	NUM
bae-3304	289	2	empirical	empirical	ADJ
bae-3304	289	3	examples	example	NOUN
bae-3304	289	4	were	be	AUX
bae-3304	289	5	presented	present	VERB
bae-3304	289	6	.	.	PUNCT
bae-3304	290	1	in	in	ADP
bae-3304	290	2	the	the	DET
bae-3304	290	3	first	first	ADJ
bae-3304	290	4	sample	sample	NOUN
bae-3304	290	5	of	of	ADP
bae-3304	290	6	14	14	NUM
bae-3304	290	7	farms	farm	NOUN
bae-3304	290	8	and	and	CCONJ
bae-3304	290	9	4	4	NUM
bae-3304	290	10	crops	crop	NOUN
bae-3304	290	11	,	,	PUNCT
bae-3304	290	12	all	all	DET
bae-3304	290	13	farms	farm	NOUN
bae-3304	290	14	produce	produce	VERB
bae-3304	290	15	every	every	DET
bae-3304	290	16	commodity	commodity	NOUN
bae-3304	290	17	.	.	PUNCT
bae-3304	291	1	in	in	ADP
bae-3304	291	2	the	the	DET
bae-3304	291	3	second	second	ADJ
bae-3304	291	4	sample	sample	NOUN
bae-3304	291	5	,	,	PUNCT
bae-3304	291	6	some	some	PRON
bae-3304	291	7	of	of	ADP
bae-3304	291	8	the	the	DET
bae-3304	291	9	farms	farm	NOUN
bae-3304	291	10	do	do	AUX
bae-3304	291	11	not	not	PART
bae-3304	291	12	produce	produce	VERB
bae-3304	291	13	all	all	DET
bae-3304	291	14	the	the	DET
bae-3304	291	15	commodities	commodity	NOUN
bae-3304	291	16	.	.	PUNCT
bae-3304	292	1	this	this	PRON
bae-3304	292	2	is	be	AUX
bae-3304	292	3	the	the	DET
bae-3304	292	4	typical	typical	ADJ
bae-3304	292	5	case	case	NOUN
bae-3304	292	6	.	.	PUNCT
bae-3304	293	1	it	it	PRON
bae-3304	293	2	is	be	AUX
bae-3304	293	3	shown	show	VERB
bae-3304	293	4	that	that	SCONJ
bae-3304	293	5	the	the	DET
bae-3304	293	6	uniqueness	uniqueness	NOUN
bae-3304	293	7	of	of	ADP
bae-3304	293	8	the	the	DET
bae-3304	293	9	calibrating	calibrate	VERB
bae-3304	293	10	solution	solution	NOUN
bae-3304	293	11	is	be	AUX
bae-3304	293	12	maintained	maintain	VERB
bae-3304	293	13	also	also	ADV
bae-3304	293	14	in	in	ADP
bae-3304	293	15	this	this	DET
bae-3304	293	16	more	more	ADV
bae-3304	293	17	elaborate	elaborate	ADJ
bae-3304	293	18	case	case	NOUN
bae-3304	293	19	.	.	PUNCT
bae-3304	294	1	34	34	NUM
bae-3304	294	2	q.	q.	PROPN
bae-3304	294	3	paris	paris	PROPN
bae-3304	294	4	table	table	NOUN
bae-3304	294	5	10	10	NUM
bae-3304	294	6	.	.	PUNCT
bae-3304	295	1	intercepts	intercept	NOUN
bae-3304	295	2	f̂	f̂	NUM
bae-3304	295	3	,	,	PUNCT
bae-3304	295	4	ĝ	ĝ	X
bae-3304	295	5	and	and	CCONJ
bae-3304	295	6	ĝ	ĝ	X
bae-3304	295	7	matrix	matrix	NOUN
bae-3304	295	8	of	of	ADP
bae-3304	295	9	the	the	DET
bae-3304	295	10	marginal	marginal	ADJ
bae-3304	295	11	cost	cost	NOUN
bae-3304	295	12	and	and	CCONJ
bae-3304	295	13	input	input	NOUN
bae-3304	295	14	demand	demand	NOUN
bae-3304	295	15	functions	function	NOUN
bae-3304	295	16	for	for	ADP
bae-3304	295	17	the	the	DET
bae-3304	295	18	case	case	NOUN
bae-3304	295	19	of	of	ADP
bae-3304	295	20	zero	zero	NUM
bae-3304	295	21	production	production	NOUN
bae-3304	295	22	of	of	ADP
bae-3304	295	23	some	some	DET
bae-3304	295	24	crop	crop	NOUN
bae-3304	295	25	in	in	ADP
bae-3304	295	26	various	various	ADJ
bae-3304	295	27	farms	farm	NOUN
bae-3304	295	28	.	.	PUNCT
bae-3304	296	1	farm	farm	NOUN
bae-3304	296	2	f̂	f̂	PROPN
bae-3304	296	3	ĝ	ĝ	X
bae-3304	296	4	ĝ	ĝ	X
bae-3304	296	5	ʹf̂	ʹf̂	VERB
bae-3304	296	6	ŷ	ŷ	PUNCT
bae-3304	296	7	ʹĝ	ʹĝ	PROPN
bae-3304	296	8	ŷ	ŷ	NUM
bae-3304	296	9	sugar	sugar	NOUN
bae-3304	296	10	beet	beet	PROPN
bae-3304	296	11	soft	soft	ADJ
bae-3304	296	12	wheat	wheat	NOUN
bae-3304	296	13	corn	corn	NOUN
bae-3304	296	14	barley	barley	PROPN
bae-3304	296	15	1	1	NUM
bae-3304	296	16	-0.15426	-0.15426	NOUN
bae-3304	296	17	0.00274	0.00274	NUM
bae-3304	296	18	0.73961	0.73961	NUM
bae-3304	296	19	-0.11144	-0.11144	NOUN
bae-3304	296	20	0.00686	0.00686	NUM
bae-3304	296	21	-1.9508	-1.9508	NOUN
bae-3304	297	1	75.930	75.930	NUM
bae-3304	297	2	0.03038	0.03038	NUM
bae-3304	297	3	2	2	NUM
bae-3304	297	4	0.07435	0.07435	NUM
bae-3304	297	5	-0.14574	-0.14574	NOUN
bae-3304	297	6	0.03714	0.03714	NUM
bae-3304	297	7	0.32875	0.32875	NUM
bae-3304	297	8	0.00495	0.00495	NUM
bae-3304	297	9	-3.1350	-3.1350	PROPN
bae-3304	297	10	124.945	124.945	NUM
bae-3304	297	11	0.02171	0.02171	NUM
bae-3304	297	12	3	3	NUM
bae-3304	297	13	0.03532	0.03532	NUM
bae-3304	297	14	0.27086	0.27086	NUM
bae-3304	297	15	-0.11507	-0.11507	NOUN
bae-3304	298	1	0.03964	0.03964	NUM
bae-3304	298	2	0.00052	0.00052	NUM
bae-3304	298	3	-1.0871	-1.0871	PROPN
bae-3304	299	1	20.595	20.595	NUM
bae-3304	299	2	0.00363	0.00363	NUM
bae-3304	299	3	4	4	NUM
bae-3304	299	4	-0.02920	-0.02920	NOUN
bae-3304	299	5	0.07372	0.07372	NUM
bae-3304	299	6	0.10372	0.10372	NUM
bae-3304	299	7	0.85513	0.85513	NUM
bae-3304	299	8	0.00441	0.00441	NUM
bae-3304	299	9	-2.4222	-2.4222	NOUN
bae-3304	299	10	157.570	157.570	NUM
bae-3304	299	11	0.02530	0.02530	NUM
bae-3304	299	12	5	5	NUM
bae-3304	299	13	0.02132	0.02132	NUM
bae-3304	299	14	0.01858	0.01858	NUM
bae-3304	299	15	0.11481	0.11481	NUM
bae-3304	300	1	0.06645	0.06645	NUM
bae-3304	300	2	0.00754	0.00754	NUM
bae-3304	300	3	-2.3602	-2.3602	NOUN
bae-3304	300	4	31.051	31.051	NUM
bae-3304	300	5	0.03318	0.03318	NUM
bae-3304	300	6	6	6	NUM
bae-3304	300	7	0.22974	0.22974	NUM
bae-3304	300	8	0.22787	0.22787	NUM
bae-3304	300	9	-0.02587	-0.02587	NOUN
bae-3304	300	10	0.26590	0.26590	NUM
bae-3304	300	11	0.01186	0.01186	NUM
bae-3304	300	12	-5.3411	-5.3411	NOUN
bae-3304	300	13	406.732	406.732	NUM
bae-3304	300	14	0.02208	0.02208	NUM
bae-3304	300	15	7	7	NUM
bae-3304	300	16	0.13824	0.13824	NUM
bae-3304	300	17	-0.00074	-0.00074	NOUN
bae-3304	300	18	-0.14506	-0.14506	NOUN
bae-3304	301	1	0.29086	0.29086	NUM
bae-3304	302	1	0.00273	0.00273	NUM
bae-3304	302	2	-3.6725	-3.6725	PROPN
bae-3304	302	3	110.382	110.382	NUM
bae-3304	302	4	0.00997	0.00997	NUM
bae-3304	302	5	8	8	NUM
bae-3304	302	6	0.01525	0.01525	NUM
bae-3304	302	7	0.40319	0.40319	NUM
bae-3304	302	8	-0.12078	-0.12078	NOUN
bae-3304	302	9	-0.17109	-0.17109	VERB
bae-3304	302	10	0.01373	0.01373	NUM
bae-3304	302	11	-3.0222	-3.0222	NOUN
bae-3304	302	12	322.849	322.849	NUM
bae-3304	302	13	0.04616	0.04616	NUM
bae-3304	302	14	9	9	NUM
bae-3304	302	15	0.11620	0.11620	NUM
bae-3304	302	16	-0.08339	-0.08339	NOUN
bae-3304	302	17	0.00722	0.00722	NUM
bae-3304	302	18	-0.03553	-0.03553	NOUN
bae-3304	302	19	0.00499	0.00499	NUM
bae-3304	302	20	-2.9037	-2.9037	NOUN
bae-3304	302	21	92.071	92.071	NUM
bae-3304	302	22	0.01375	0.01375	NUM
bae-3304	302	23	10	10	NUM
bae-3304	302	24	-0.00636	-0.00636	NOUN
bae-3304	302	25	0.36252	0.36252	NUM
bae-3304	302	26	-0.14708	-0.14708	NOUN
bae-3304	302	27	0.00406	0.00406	NUM
bae-3304	302	28	0.00076	0.00076	NUM
bae-3304	302	29	-2.4324	-2.4324	NUM
bae-3304	302	30	209.320	209.320	NUM
bae-3304	302	31	0.00325	0.00325	NUM
bae-3304	302	32	11	11	NUM
bae-3304	302	33	0.00236	0.00236	NUM
bae-3304	302	34	0.30162	0.30162	NUM
bae-3304	302	35	-0.12984	-0.12984	ADV
bae-3304	302	36	-0.24600	-0.24600	VERB
bae-3304	302	37	0.00764	0.00764	NUM
bae-3304	302	38	-2.8158	-2.8158	NOUN
bae-3304	302	39	150.906	150.906	NUM
bae-3304	302	40	0.02507	0.02507	NUM
bae-3304	302	41	12	12	NUM
bae-3304	302	42	0.10700	0.10700	NUM
bae-3304	302	43	0.16788	0.16788	NUM
bae-3304	302	44	0.00002	0.00002	NUM
bae-3304	302	45	0.57873	0.57873	NUM
bae-3304	302	46	0.00004	0.00004	NUM
bae-3304	302	47	-2.6811	-2.6811	NOUN
bae-3304	303	1	638.676	638.676	NUM
bae-3304	303	2	0.00001	0.00001	NUM
bae-3304	303	3	13	13	NUM
bae-3304	303	4	0.24139	0.24139	NUM
bae-3304	303	5	0.42193	0.42193	NUM
bae-3304	303	6	-0.25400	-0.25400	NOUN
bae-3304	303	7	-0.19708	-0.19708	VERB
bae-3304	303	8	0.01046	0.01046	NUM
bae-3304	303	9	-2.9149	-2.9149	NOUN
bae-3304	303	10	213.946	213.946	NUM
bae-3304	303	11	0.02431	0.02431	NUM
bae-3304	303	12	14	14	NUM
bae-3304	303	13	0.05358	0.05358	NUM
bae-3304	303	14	0.06649	0.06649	NUM
bae-3304	303	15	0.07745	0.07745	NUM
bae-3304	303	16	0.01622	0.01622	NUM
bae-3304	303	17	0.00686	0.00686	NUM
bae-3304	303	18	-2.6086	-2.6086	NOUN
bae-3304	303	19	178.140	178.140	NUM
bae-3304	303	20	0.03038	0.03038	NUM
bae-3304	303	21	table	table	NOUN
bae-3304	303	22	11	11	NUM
bae-3304	303	23	.	.	PUNCT
bae-3304	304	1	disaggregation	disaggregation	NOUN
bae-3304	304	2	/	/	SYM
bae-3304	304	3	aggregation	aggregation	NOUN
bae-3304	304	4	of	of	ADP
bae-3304	304	5	the	the	DET
bae-3304	304	6	regional	regional	ADJ
bae-3304	304	7	,	,	PUNCT
bae-3304	304	8	endogenous	endogenous	ADJ
bae-3304	304	9	supply	supply	NOUN
bae-3304	304	10	elasticities	elasticity	NOUN
bae-3304	304	11	when	when	SCONJ
bae-3304	304	12	some	some	DET
bae-3304	304	13	crops	crop	NOUN
bae-3304	304	14	are	be	AUX
bae-3304	304	15	not	not	PART
bae-3304	304	16	produced	produce	VERB
bae-3304	304	17	in	in	ADP
bae-3304	304	18	various	various	ADJ
bae-3304	304	19	farms	farm	NOUN
bae-3304	304	20	.	.	PUNCT
bae-3304	305	1	farms	farm	NOUN
bae-3304	305	2	endogenous	endogenous	ADJ
bae-3304	305	3	own	own	ADJ
bae-3304	305	4	-	-	PUNCT
bae-3304	305	5	supply	supply	NOUN
bae-3304	305	6	elasticities	elasticity	NOUN
bae-3304	305	7	revenue	revenue	NOUN
bae-3304	305	8	weights	weight	VERB
bae-3304	305	9	sugar	sugar	NOUN
bae-3304	305	10	beet	beet	NOUN
bae-3304	305	11	:	:	PUNCT
bae-3304	305	12	0.5	0.5	NUM
bae-3304	305	13	soft	soft	ADJ
bae-3304	305	14	wheat	wheat	NOUN
bae-3304	305	15	:	:	PUNCT
bae-3304	305	16	0.4	0.4	NUM
bae-3304	305	17	corn	corn	NOUN
bae-3304	305	18	:	:	PUNCT
bae-3304	305	19	0.6	0.6	NUM
bae-3304	305	20	barley	barley	NOUN
bae-3304	305	21	:	:	PUNCT
bae-3304	305	22	0.3	0.3	NUM
bae-3304	305	23	sugar	sugar	NOUN
bae-3304	305	24	beet	beet	NOUN
bae-3304	305	25	soft	soft	ADJ
bae-3304	305	26	wheat	wheat	NOUN
bae-3304	305	27	corn	corn	NOUN
bae-3304	305	28	barley	barley	NOUN
bae-3304	305	29	1	1	NUM
bae-3304	305	30	0.257	0.257	NUM
bae-3304	305	31	0	0	NUM
bae-3304	305	32	0.385	0.385	NUM
bae-3304	305	33	0.722	0.722	NUM
bae-3304	305	34	0.0523	0.0523	NUM
bae-3304	305	35	0	0	NUM
bae-3304	306	1	0.0368	0.0368	NUM
bae-3304	306	2	0.0198	0.0198	NUM
bae-3304	306	3	2	2	NUM
bae-3304	306	4	0.289	0.289	NUM
bae-3304	306	5	0.409	0.409	NUM
bae-3304	306	6	0	0	NUM
bae-3304	306	7	0.251	0.251	NUM
bae-3304	306	8	0.1719	0.1719	NUM
bae-3304	306	9	0.1139	0.1139	NUM
bae-3304	306	10	0	0	NUM
bae-3304	306	11	0.0748	0.0748	NUM
bae-3304	307	1	3	3	NUM
bae-3304	307	2	0	0	NUM
bae-3304	307	3	0.515	0.515	NUM
bae-3304	307	4	1.740	1.740	NUM
bae-3304	307	5	0	0	NUM
bae-3304	307	6	0	0	NUM
bae-3304	307	7	0.0542	0.0542	NUM
bae-3304	307	8	0.0871	0.0871	NUM
bae-3304	307	9	0	0	NUM
bae-3304	307	10	4	4	NUM
bae-3304	307	11	1.873	1.873	NUM
bae-3304	307	12	0.262	0.262	NUM
bae-3304	307	13	0.428	0.428	NUM
bae-3304	307	14	0.333	0.333	NUM
bae-3304	307	15	0.1288	0.1288	NUM
bae-3304	307	16	0.1086	0.1086	NUM
bae-3304	307	17	0.1726	0.1726	NUM
bae-3304	307	18	0.0639	0.0639	NUM
bae-3304	307	19	5	5	NUM
bae-3304	307	20	0.381	0.381	NUM
bae-3304	307	21	0.577	0.577	NUM
bae-3304	307	22	0	0	NUM
bae-3304	307	23	0.445	0.445	NUM
bae-3304	307	24	0.0421	0.0421	NUM
bae-3304	308	1	0.0502	0.0502	NUM
bae-3304	308	2	0	0	NUM
bae-3304	309	1	0.0306	0.0306	NUM
bae-3304	309	2	6	6	NUM
bae-3304	309	3	0.052	0.052	NUM
bae-3304	309	4	0.221	0.221	NUM
bae-3304	309	5	0.322	0.322	NUM
bae-3304	309	6	0.120	0.120	NUM
bae-3304	309	7	0.0479	0.0479	NUM
bae-3304	309	8	0.1007	0.1007	NUM
bae-3304	309	9	0.1437	0.1437	NUM
bae-3304	309	10	0.1904	0.1904	NUM
bae-3304	309	11	7	7	NUM
bae-3304	309	12	0.149	0.149	NUM
bae-3304	309	13	0	0	NUM
bae-3304	309	14	0.656	0.656	NUM
bae-3304	309	15	0.225	0.225	NUM
bae-3304	309	16	0.0647	0.0647	NUM
bae-3304	309	17	0	0	NUM
bae-3304	309	18	0.0960	0.0960	NUM
bae-3304	309	19	0.0723	0.0723	NUM
bae-3304	309	20	8	8	NUM
bae-3304	309	21	0	0	NUM
bae-3304	309	22	0.329	0.329	NUM
bae-3304	309	23	0.294	0.294	NUM
bae-3304	309	24	0.122	0.122	NUM
bae-3304	309	25	0	0	NUM
bae-3304	309	26	0.1571	0.1571	NUM
bae-3304	309	27	0.1275	0.1275	NUM
bae-3304	309	28	0.1108	0.1108	NUM
bae-3304	309	29	9	9	NUM
bae-3304	309	30	0.212	0.212	NUM
bae-3304	309	31	0.407	0.407	NUM
bae-3304	309	32	0	0	NUM
bae-3304	309	33	0.335	0.335	NUM
bae-3304	309	34	0.0485	0.0485	NUM
bae-3304	309	35	0.0408	0.0408	NUM
bae-3304	309	36	0	0	NUM
bae-3304	309	37	0.0688	0.0688	NUM
bae-3304	309	38	10	10	NUM
bae-3304	309	39	0.241	0.241	NUM
bae-3304	309	40	0.309	0.309	NUM
bae-3304	309	41	0.794	0.794	NUM
bae-3304	309	42	0	0	NUM
bae-3304	309	43	0.1323	0.1323	NUM
bae-3304	309	44	0.1130	0.1130	NUM
bae-3304	309	45	0.0810	0.0810	NUM
bae-3304	309	46	0	0	NUM
bae-3304	309	47	11	11	NUM
bae-3304	309	48	0	0	NUM
bae-3304	309	49	0.399	0.399	NUM
bae-3304	309	50	0.313	0.313	NUM
bae-3304	309	51	0.268	0.268	NUM
bae-3304	309	52	0	0	NUM
bae-3304	310	1	0.0896	0.0896	NUM
bae-3304	310	2	0.0520	0.0520	NUM
bae-3304	310	3	0.0643	0.0643	NUM
bae-3304	310	4	12	12	NUM
bae-3304	310	5	0.487	0.487	NUM
bae-3304	310	6	0.714	0.714	NUM
bae-3304	310	7	0	0	NUM
bae-3304	310	8	0.531	0.531	NUM
bae-3304	310	9	0.2004	0.2004	NUM
bae-3304	310	10	0.1311	0.1311	NUM
bae-3304	310	11	0	0	NUM
bae-3304	310	12	0.2220	0.2220	NUM
bae-3304	310	13	13	13	NUM
bae-3304	310	14	0.142	0.142	NUM
bae-3304	310	15	0.325	0.325	NUM
bae-3304	310	16	0.837	0.837	NUM
bae-3304	310	17	0.259	0.259	NUM
bae-3304	310	18	0.0385	0.0385	NUM
bae-3304	310	19	0.0409	0.0409	NUM
bae-3304	310	20	0.0567	0.0567	NUM
bae-3304	311	1	0.0822	0.0822	NUM
bae-3304	311	2	14	14	NUM
bae-3304	311	3	0.305	0.305	NUM
bae-3304	311	4	0	0	NUM
bae-3304	311	5	0.583	0.583	NUM
bae-3304	311	6	0	0	NUM
bae-3304	312	1	0.0727	0.0727	NUM
bae-3304	312	2	0	0	NUM
bae-3304	313	1	0.1465	0.1465	NUM
bae-3304	313	2	0	0	NUM
bae-3304	313	3	35cost	35cost	NUM
bae-3304	313	4	function	function	NOUN
bae-3304	313	5	and	and	CCONJ
bae-3304	313	6	positive	positive	ADJ
bae-3304	313	7	mathematical	mathematical	ADJ
bae-3304	313	8	programming	programming	NOUN
bae-3304	313	9	the	the	DET
bae-3304	313	10	central	central	ADJ
bae-3304	313	11	piece	piece	NOUN
bae-3304	313	12	of	of	ADP
bae-3304	313	13	the	the	DET
bae-3304	313	14	methodology	methodology	NOUN
bae-3304	313	15	is	be	AUX
bae-3304	313	16	the	the	DET
bae-3304	313	17	estimation	estimation	NOUN
bae-3304	313	18	of	of	ADP
bae-3304	313	19	a	a	DET
bae-3304	313	20	non	non	ADJ
bae-3304	313	21	-	-	ADJ
bae-3304	313	22	myopic	myopic	ADJ
bae-3304	313	23	cost	cost	NOUN
bae-3304	313	24	function	function	NOUN
bae-3304	313	25	defined	define	VERB
bae-3304	313	26	over	over	ADP
bae-3304	313	27	output	output	NOUN
bae-3304	313	28	levels	level	NOUN
bae-3304	313	29	and	and	CCONJ
bae-3304	313	30	input	input	NOUN
bae-3304	313	31	(	(	PUNCT
bae-3304	313	32	shadow	shadow	NOUN
bae-3304	313	33	)	)	PUNCT
bae-3304	313	34	prices	price	NOUN
bae-3304	313	35	.	.	PUNCT
bae-3304	314	1	this	this	DET
bae-3304	314	2	cost	cost	NOUN
bae-3304	314	3	function	function	NOUN
bae-3304	314	4	is	be	AUX
bae-3304	314	5	not	not	PART
bae-3304	314	6	associated	associate	VERB
bae-3304	314	7	with	with	ADP
bae-3304	314	8	an	an	DET
bae-3304	314	9	explicit	explicit	ADJ
bae-3304	314	10	functional	functional	ADJ
bae-3304	314	11	form	form	NOUN
bae-3304	314	12	of	of	ADP
bae-3304	314	13	the	the	DET
bae-3304	314	14	underlying	underlie	VERB
bae-3304	314	15	technology	technology	NOUN
bae-3304	314	16	.	.	PUNCT
bae-3304	315	1	for	for	ADP
bae-3304	315	2	this	this	DET
bae-3304	315	3	reason	reason	NOUN
bae-3304	315	4	,	,	PUNCT
bae-3304	315	5	the	the	DET
bae-3304	315	6	phase	phase	NOUN
bae-3304	315	7	i	i	PRON
bae-3304	315	8	procedure	procedure	NOUN
bae-3304	315	9	estimates	estimate	VERB
bae-3304	315	10	the	the	DET
bae-3304	315	11	output	output	NOUN
bae-3304	315	12	and	and	CCONJ
bae-3304	315	13	limiting	limit	VERB
bae-3304	315	14	input	input	NOUN
bae-3304	315	15	shadow	shadow	NOUN
bae-3304	315	16	price	price	NOUN
bae-3304	315	17	levels	level	NOUN
bae-3304	315	18	that	that	PRON
bae-3304	315	19	are	be	AUX
bae-3304	315	20	consistent	consistent	ADJ
bae-3304	315	21	with	with	ADP
bae-3304	315	22	a	a	DET
bae-3304	315	23	linear	linear	ADJ
bae-3304	315	24	technology	technology	NOUN
bae-3304	315	25	and	and	CCONJ
bae-3304	315	26	the	the	DET
bae-3304	315	27	observed	observed	ADJ
bae-3304	315	28	information	information	NOUN
bae-3304	315	29	about	about	ADP
bae-3304	315	30	output	output	NOUN
bae-3304	315	31	levels	level	NOUN
bae-3304	315	32	and	and	CCONJ
bae-3304	315	33	input	input	NOUN
bae-3304	315	34	prices	price	NOUN
bae-3304	315	35	.	.	PUNCT
bae-3304	316	1	these	these	DET
bae-3304	316	2	levels	level	NOUN
bae-3304	316	3	,	,	PUNCT
bae-3304	316	4	then	then	ADV
bae-3304	316	5	,	,	PUNCT
bae-3304	316	6	are	be	AUX
bae-3304	316	7	used	use	VERB
bae-3304	316	8	to	to	PART
bae-3304	316	9	estimate	estimate	VERB
bae-3304	316	10	the	the	DET
bae-3304	316	11	parameters	parameter	NOUN
bae-3304	316	12	of	of	ADP
bae-3304	316	13	the	the	DET
bae-3304	316	14	cost	cost	NOUN
bae-3304	316	15	function	function	NOUN
bae-3304	316	16	.	.	PUNCT
bae-3304	317	1	this	this	DET
bae-3304	317	2	model	model	NOUN
bae-3304	317	3	is	be	AUX
bae-3304	317	4	akin	akin	ADJ
bae-3304	317	5	to	to	ADP
bae-3304	317	6	an	an	DET
bae-3304	317	7	econometric	econometric	ADJ
bae-3304	317	8	model	model	NOUN
bae-3304	317	9	that	that	PRON
bae-3304	317	10	is	be	AUX
bae-3304	317	11	estimated	estimate	VERB
bae-3304	317	12	for	for	ADP
bae-3304	317	13	prediction	prediction	NOUN
bae-3304	317	14	without	without	ADP
bae-3304	317	15	regards	regard	NOUN
bae-3304	317	16	to	to	ADP
bae-3304	317	17	the	the	DET
bae-3304	317	18	identification	identification	NOUN
bae-3304	317	19	of	of	ADP
bae-3304	317	20	the	the	DET
bae-3304	317	21	structural	structural	ADJ
bae-3304	317	22	parameters	parameter	NOUN
bae-3304	317	23	of	of	ADP
bae-3304	317	24	the	the	DET
bae-3304	317	25	cost	cost	NOUN
bae-3304	317	26	function	function	NOUN
bae-3304	317	27	.	.	PUNCT
bae-3304	318	1	the	the	DET
bae-3304	318	2	model	model	NOUN
bae-3304	318	3	“	"	PUNCT
bae-3304	318	4	goodness	goodness	NOUN
bae-3304	318	5	,	,	PUNCT
bae-3304	318	6	”	"	PUNCT
bae-3304	318	7	then	then	ADV
bae-3304	318	8	,	,	PUNCT
bae-3304	318	9	depends	depend	VERB
bae-3304	318	10	on	on	ADP
bae-3304	318	11	the	the	DET
bae-3304	318	12	ability	ability	NOUN
bae-3304	318	13	to	to	PART
bae-3304	318	14	predict	predict	VERB
bae-3304	318	15	outside	outside	ADP
bae-3304	318	16	the	the	DET
bae-3304	318	17	sample	sample	NOUN
bae-3304	318	18	observations	observation	NOUN
bae-3304	318	19	.	.	PUNCT
bae-3304	319	1	this	this	DET
bae-3304	319	2	test	test	NOUN
bae-3304	319	3	can	can	AUX
bae-3304	319	4	be	be	AUX
bae-3304	319	5	executed	execute	VERB
bae-3304	319	6	with	with	ADP
bae-3304	319	7	multiple	multiple	ADJ
bae-3304	319	8	observations	observation	NOUN
bae-3304	319	9	per	per	ADP
bae-3304	319	10	farm	farm	NOUN
bae-3304	319	11	.	.	PUNCT
bae-3304	320	1	when	when	SCONJ
bae-3304	320	2	several	several	ADJ
bae-3304	320	3	observations	observation	NOUN
bae-3304	320	4	per	per	ADP
bae-3304	320	5	each	each	DET
bae-3304	320	6	sample	sample	NOUN
bae-3304	320	7	farm	farm	NOUN
bae-3304	320	8	are	be	AUX
bae-3304	320	9	available	available	ADJ
bae-3304	320	10	,	,	PUNCT
bae-3304	320	11	the	the	DET
bae-3304	320	12	estimation	estimation	NOUN
bae-3304	320	13	procedure	procedure	NOUN
bae-3304	320	14	becomes	become	VERB
bae-3304	320	15	a	a	DET
bae-3304	320	16	proper	proper	ADJ
bae-3304	320	17	econometric	econometric	ADJ
bae-3304	320	18	approach	approach	NOUN
bae-3304	320	19	.	.	PUNCT
bae-3304	321	1	in	in	ADP
bae-3304	321	2	this	this	DET
bae-3304	321	3	case	case	NOUN
bae-3304	321	4	,	,	PUNCT
bae-3304	321	5	it	it	PRON
bae-3304	321	6	will	will	AUX
bae-3304	321	7	be	be	AUX
bae-3304	321	8	convenient	convenient	ADJ
bae-3304	321	9	to	to	PART
bae-3304	321	10	split	split	VERB
bae-3304	321	11	the	the	DET
bae-3304	321	12	sample	sample	NOUN
bae-3304	321	13	observations	observation	NOUN
bae-3304	321	14	in	in	ADP
bae-3304	321	15	two	two	NUM
bae-3304	321	16	parts	part	NOUN
bae-3304	321	17	:	:	PUNCT
bae-3304	321	18	say	say	INTJ
bae-3304	321	19	,	,	PUNCT
bae-3304	321	20	ninety	ninety	NUM
bae-3304	321	21	percent	percent	NOUN
bae-3304	321	22	(	(	PUNCT
bae-3304	321	23	or	or	CCONJ
bae-3304	321	24	whatever	whatever	DET
bae-3304	321	25	share	share	NOUN
bae-3304	321	26	of	of	ADP
bae-3304	321	27	the	the	DET
bae-3304	321	28	observations	observation	NOUN
bae-3304	321	29	the	the	DET
bae-3304	321	30	researcher	researcher	NOUN
bae-3304	321	31	would	would	AUX
bae-3304	321	32	prefer	prefer	VERB
bae-3304	321	33	)	)	PUNCT
bae-3304	321	34	for	for	ADP
bae-3304	321	35	estimating	estimate	VERB
bae-3304	321	36	the	the	DET
bae-3304	321	37	cost	cost	NOUN
bae-3304	321	38	function	function	NOUN
bae-3304	321	39	and	and	CCONJ
bae-3304	321	40	ten	ten	NUM
bae-3304	321	41	percent	percent	NOUN
bae-3304	321	42	for	for	ADP
bae-3304	321	43	evaluating	evaluate	VERB
bae-3304	321	44	the	the	DET
bae-3304	321	45	prediction	prediction	NOUN
bae-3304	321	46	ability	ability	NOUN
bae-3304	321	47	of	of	ADP
bae-3304	321	48	the	the	DET
bae-3304	321	49	pmp	pmp	PROPN
bae-3304	321	50	methodology	methodology	NOUN
bae-3304	321	51	.	.	PUNCT
bae-3304	322	1	this	this	DET
bae-3304	322	2	approach	approach	NOUN
bae-3304	322	3	is	be	AUX
bae-3304	322	4	a	a	DET
bae-3304	322	5	goal	goal	NOUN
bae-3304	322	6	of	of	ADP
bae-3304	322	7	further	further	ADJ
bae-3304	322	8	research	research	NOUN
bae-3304	322	9	.	.	PUNCT
bae-3304	323	1	the	the	DET
bae-3304	323	2	pmp	pmp	PROPN
bae-3304	323	3	procedure	procedure	NOUN
bae-3304	323	4	presented	present	VERB
bae-3304	323	5	in	in	ADP
bae-3304	323	6	this	this	DET
bae-3304	323	7	paper	paper	NOUN
bae-3304	323	8	uses	use	VERB
bae-3304	323	9	also	also	ADV
bae-3304	323	10	exogenous	exogenous	ADJ
bae-3304	323	11	information	information	NOUN
bae-3304	323	12	about	about	ADP
bae-3304	323	13	supply	supply	NOUN
bae-3304	323	14	elasticities	elasticity	NOUN
bae-3304	323	15	assumed	assume	VERB
bae-3304	323	16	to	to	PART
bae-3304	323	17	be	be	AUX
bae-3304	323	18	available	available	ADJ
bae-3304	323	19	at	at	ADP
bae-3304	323	20	a	a	DET
bae-3304	323	21	regional	regional	ADJ
bae-3304	323	22	or	or	CCONJ
bae-3304	323	23	state	state	NOUN
bae-3304	323	24	level	level	NOUN
bae-3304	323	25	.	.	PUNCT
bae-3304	324	1	it	it	PRON
bae-3304	324	2	shows	show	VERB
bae-3304	324	3	how	how	SCONJ
bae-3304	324	4	to	to	PART
bae-3304	324	5	calibrate	calibrate	VERB
bae-3304	324	6	the	the	DET
bae-3304	324	7	endogenous	endogenous	ADJ
bae-3304	324	8	elasticities	elasticity	NOUN
bae-3304	324	9	to	to	ADP
bae-3304	324	10	this	this	DET
bae-3304	324	11	additional	additional	ADJ
bae-3304	324	12	information	information	NOUN
bae-3304	324	13	while	while	SCONJ
bae-3304	324	14	achieving	achieve	VERB
bae-3304	324	15	a	a	DET
bae-3304	324	16	unique	unique	ADJ
bae-3304	324	17	calibrating	calibrate	VERB
bae-3304	324	18	solution	solution	NOUN
bae-3304	324	19	.	.	PUNCT
bae-3304	325	1	references	reference	NOUN
bae-3304	325	2	arfini	arfini	PROPN
bae-3304	325	3	,	,	PUNCT
bae-3304	325	4	f.	f.	PROPN
bae-3304	325	5	and	and	CCONJ
bae-3304	325	6	donati	donati	PROPN
bae-3304	325	7	,	,	PUNCT
bae-3304	325	8	m.	m.	NOUN
bae-3304	325	9	(	(	PUNCT
bae-3304	325	10	2013	2013	NUM
bae-3304	325	11	)	)	PUNCT
bae-3304	325	12	.	.	PUNCT
bae-3304	326	1	organic	organic	ADJ
bae-3304	326	2	production	production	NOUN
bae-3304	326	3	and	and	CCONJ
bae-3304	326	4	the	the	DET
bae-3304	326	5	capacity	capacity	NOUN
bae-3304	326	6	to	to	PART
bae-3304	326	7	respond	respond	VERB
bae-3304	326	8	to	to	ADP
bae-3304	326	9	market	market	NOUN
bae-3304	326	10	signals	signal	NOUN
bae-3304	326	11	and	and	CCONJ
bae-3304	326	12	policies	policy	NOUN
bae-3304	326	13	:	:	PUNCT
bae-3304	326	14	an	an	DET
bae-3304	326	15	empirical	empirical	ADJ
bae-3304	326	16	analysis	analysis	NOUN
bae-3304	326	17	of	of	ADP
bae-3304	326	18	sample	sample	NOUN
bae-3304	326	19	of	of	ADP
bae-3304	326	20	fadn	fadn	ADJ
bae-3304	326	21	farms	farm	NOUN
bae-3304	326	22	.	.	PUNCT
bae-3304	327	1	agroecology	agroecology	NOUN
bae-3304	327	2	and	and	CCONJ
bae-3304	327	3	sustainable	sustainable	ADJ
bae-3304	327	4	food	food	NOUN
bae-3304	327	5	systems	system	NOUN
bae-3304	327	6	37	37	NUM
bae-3304	327	7	:	:	SYM
bae-3304	327	8	149	149	NUM
bae-3304	327	9	-	-	SYM
bae-3304	327	10	171	171	NUM
bae-3304	327	11	.	.	PUNCT
bae-3304	328	1	brooke	brooke	PROPN
bae-3304	328	2	,	,	PUNCT
bae-3304	328	3	a.	a.	PROPN
bae-3304	328	4	,	,	PUNCT
bae-3304	328	5	kendrick	kendrick	PROPN
bae-3304	328	6	,	,	PUNCT
bae-3304	328	7	d.	d.	PROPN
bae-3304	328	8	and	and	CCONJ
bae-3304	328	9	meeraus	meeraus	PROPN
bae-3304	328	10	,	,	PUNCT
bae-3304	328	11	a.	a.	NOUN
bae-3304	328	12	(	(	PUNCT
bae-3304	328	13	1988	1988	NUM
bae-3304	328	14	)	)	PUNCT
bae-3304	328	15	.	.	PUNCT
bae-3304	329	1	gams	gams	PROPN
bae-3304	329	2	,	,	PUNCT
bae-3304	329	3	a	a	DET
bae-3304	329	4	user	user	NOUN
bae-3304	329	5	’s	’s	PART
bae-3304	329	6	guide	guide	NOUN
bae-3304	329	7	.	.	PUNCT
bae-3304	330	1	redwood	redwood	NOUN
bae-3304	330	2	city	city	PROPN
bae-3304	330	3	,	,	PUNCT
bae-3304	330	4	california	california	PROPN
bae-3304	330	5	:	:	PUNCT
bae-3304	330	6	the	the	DET
bae-3304	330	7	scientific	scientific	ADJ
bae-3304	330	8	press	press	NOUN
bae-3304	330	9	.	.	PUNCT
bae-3304	331	1	cortigiani	cortigiani	PROPN
bae-3304	331	2	,	,	PUNCT
bae-3304	331	3	r.	r.	PROPN
bae-3304	331	4	,	,	PUNCT
bae-3304	331	5	and	and	CCONJ
bae-3304	331	6	severini	severini	ADJ
bae-3304	331	7	,	,	PUNCT
bae-3304	331	8	s.	s.	PROPN
bae-3304	331	9	(	(	PUNCT
bae-3304	331	10	2009	2009	NUM
bae-3304	331	11	)	)	PUNCT
bae-3304	331	12	.	.	PUNCT
bae-3304	332	1	modeling	model	VERB
bae-3304	332	2	farm	farm	NOUN
bae-3304	332	3	-	-	PUNCT
bae-3304	332	4	level	level	NOUN
bae-3304	332	5	adoption	adoption	NOUN
bae-3304	332	6	of	of	ADP
bae-3304	332	7	deficit	deficit	NOUN
bae-3304	332	8	irrigation	irrigation	NOUN
bae-3304	332	9	using	use	VERB
bae-3304	332	10	positive	positive	ADJ
bae-3304	332	11	mathematical	mathematical	ADJ
bae-3304	332	12	programming	programming	NOUN
bae-3304	332	13	.	.	PUNCT
bae-3304	333	1	agricultural	agricultural	ADJ
bae-3304	333	2	water	water	NOUN
bae-3304	333	3	management	management	NOUN
bae-3304	333	4	96	96	NUM
bae-3304	333	5	:	:	SYM
bae-3304	333	6	1785	1785	NUM
bae-3304	333	7	-	-	SYM
bae-3304	333	8	1791	1791	NUM
bae-3304	333	9	.	.	PUNCT
bae-3304	334	1	henseler	henseler	PROPN
bae-3304	334	2	,	,	PUNCT
bae-3304	334	3	m.	m.	NOUN
bae-3304	334	4	,	,	PUNCT
bae-3304	334	5	wirsig	wirsig	NOUN
bae-3304	334	6	,	,	PUNCT
bae-3304	334	7	a.	a.	PROPN
bae-3304	334	8	,	,	PUNCT
bae-3304	334	9	herrmann	herrmann	PROPN
bae-3304	334	10	,	,	PUNCT
bae-3304	334	11	s.	s.	PROPN
bae-3304	334	12	,	,	PUNCT
bae-3304	334	13	krimly	krimly	ADV
bae-3304	334	14	,	,	PUNCT
bae-3304	334	15	t.	t.	NOUN
bae-3304	334	16	,	,	PUNCT
bae-3304	334	17	and	and	CCONJ
bae-3304	334	18	dabbert	dabbert	NOUN
bae-3304	334	19	,	,	PUNCT
bae-3304	334	20	s.	s.	PROPN
bae-3304	334	21	(	(	PUNCT
bae-3304	334	22	2009	2009	NUM
bae-3304	334	23	)	)	PUNCT
bae-3304	334	24	.	.	PUNCT
bae-3304	335	1	modeling	model	VERB
bae-3304	335	2	the	the	DET
bae-3304	335	3	impact	impact	NOUN
bae-3304	335	4	of	of	ADP
bae-3304	335	5	global	global	ADJ
bae-3304	335	6	change	change	NOUN
bae-3304	335	7	on	on	ADP
bae-3304	335	8	regional	regional	ADJ
bae-3304	335	9	agricultural	agricultural	ADJ
bae-3304	335	10	land	land	NOUN
bae-3304	335	11	use	use	NOUN
bae-3304	335	12	through	through	ADP
bae-3304	335	13	an	an	DET
bae-3304	335	14	activitybased	activitybased	ADJ
bae-3304	335	15	non	non	ADJ
bae-3304	335	16	-	-	ADJ
bae-3304	335	17	linear	linear	ADJ
bae-3304	335	18	programming	programming	NOUN
bae-3304	335	19	approach	approach	NOUN
bae-3304	335	20	.	.	PUNCT
bae-3304	336	1	agricultural	agricultural	ADJ
bae-3304	336	2	systems	system	NOUN
bae-3304	336	3	100	100	NUM
bae-3304	336	4	:	:	PUNCT
bae-3304	336	5	31	31	NUM
bae-3304	336	6	-	-	SYM
bae-3304	336	7	42	42	NUM
bae-3304	336	8	.	.	PUNCT
bae-3304	337	1	howitt	howitt	PROPN
bae-3304	337	2	,	,	PUNCT
bae-3304	337	3	r.	r.	PROPN
bae-3304	337	4	e.	e.	PROPN
bae-3304	337	5	(	(	PUNCT
bae-3304	337	6	1995a	1995a	NUM
bae-3304	337	7	)	)	PUNCT
bae-3304	337	8	.	.	PUNCT
bae-3304	338	1	a	a	DET
bae-3304	338	2	calibration	calibration	NOUN
bae-3304	338	3	method	method	NOUN
bae-3304	338	4	for	for	ADP
bae-3304	338	5	agricultural	agricultural	ADJ
bae-3304	338	6	economic	economic	ADJ
bae-3304	338	7	production	production	NOUN
bae-3304	338	8	models	model	NOUN
bae-3304	338	9	.	.	PUNCT
bae-3304	339	1	journal	journal	NOUN
bae-3304	339	2	of	of	ADP
bae-3304	339	3	agricultural	agricultural	ADJ
bae-3304	339	4	economics	economic	NOUN
bae-3304	339	5	46(2	46(2	NOUN
bae-3304	339	6	):	):	PUNCT
bae-3304	339	7	147	147	NUM
bae-3304	339	8	-	-	SYM
bae-3304	339	9	159	159	NUM
bae-3304	339	10	.	.	PUNCT
bae-3304	340	1	howitt	howitt	PROPN
bae-3304	340	2	,	,	PUNCT
bae-3304	340	3	r.	r.	PROPN
bae-3304	340	4	e.	e.	PROPN
bae-3304	340	5	(	(	PUNCT
bae-3304	340	6	1995b	1995b	NUM
bae-3304	340	7	)	)	PUNCT
bae-3304	340	8	.	.	PUNCT
bae-3304	341	1	positive	positive	ADJ
bae-3304	341	2	mathematical	mathematical	ADJ
bae-3304	341	3	programming	programming	NOUN
bae-3304	341	4	.	.	PUNCT
bae-3304	342	1	american	american	PROPN
bae-3304	342	2	journal	journal	PROPN
bae-3304	342	3	of	of	ADP
bae-3304	342	4	agricultural	agricultural	ADJ
bae-3304	342	5	economics	economic	NOUN
bae-3304	342	6	77(2	77(2	NOUN
bae-3304	342	7	):	):	PUNCT
bae-3304	342	8	329	329	NUM
bae-3304	342	9	-	-	SYM
bae-3304	342	10	342	342	NUM
bae-3304	342	11	.	.	PUNCT
bae-3304	343	1	howitt	howitt	PROPN
bae-3304	343	2	,	,	PUNCT
bae-3304	343	3	r.	r.	PROPN
bae-3304	343	4	e.	e.	PROPN
bae-3304	343	5	,	,	PUNCT
bae-3304	343	6	medellin	medellin	PROPN
bae-3304	343	7	-	-	PUNCT
bae-3304	343	8	azuara	azuara	NOUN
bae-3304	343	9	,	,	PUNCT
bae-3304	343	10	j.	j.	PROPN
bae-3304	343	11	,	,	PUNCT
bae-3304	343	12	macewan	macewan	PROPN
bae-3304	343	13	,	,	PUNCT
bae-3304	343	14	d.	d.	PROPN
bae-3304	343	15	,	,	PUNCT
bae-3304	343	16	and	and	CCONJ
bae-3304	343	17	lund	lund	PROPN
bae-3304	343	18	,	,	PUNCT
bae-3304	343	19	j.	j.	PROPN
bae-3304	343	20	r.	r.	PROPN
bae-3304	343	21	(	(	PUNCT
bae-3304	343	22	2012	2012	NUM
bae-3304	343	23	)	)	PUNCT
bae-3304	343	24	.	.	PUNCT
bae-3304	344	1	calibrating	calibrate	VERB
bae-3304	344	2	disaggregate	disaggregate	ADJ
bae-3304	344	3	economic	economic	ADJ
bae-3304	344	4	models	model	NOUN
bae-3304	344	5	of	of	ADP
bae-3304	344	6	agricultural	agricultural	ADJ
bae-3304	344	7	production	production	NOUN
bae-3304	344	8	and	and	CCONJ
bae-3304	344	9	water	water	NOUN
bae-3304	344	10	management	management	NOUN
bae-3304	344	11	.	.	PUNCT
bae-3304	345	1	environmental	environmental	ADJ
bae-3304	345	2	modelling	modelling	NOUN
bae-3304	345	3	and	and	CCONJ
bae-3304	345	4	software	software	NOUN
bae-3304	345	5	38	38	NUM
bae-3304	345	6	:	:	SYM
bae-3304	345	7	244	244	NUM
bae-3304	345	8	-	-	SYM
bae-3304	345	9	258	258	NUM
bae-3304	345	10	.	.	PUNCT
bae-3304	346	1	qureshi	qureshi	PROPN
bae-3304	346	2	,	,	PUNCT
bae-3304	346	3	m.e	m.e	PROPN
bae-3304	346	4	.	.	PROPN
bae-3304	346	5	,	,	PUNCT
bae-3304	346	6	ahmad	ahmad	PROPN
bae-3304	346	7	,	,	PUNCT
bae-3304	346	8	m.d	m.d	PROPN
bae-3304	346	9	.	.	PROPN
bae-3304	346	10	,	,	PUNCT
bae-3304	346	11	whitten	whitten	PROPN
bae-3304	346	12	,	,	PUNCT
bae-3304	346	13	s.m	s.m	PROPN
bae-3304	346	14	.	.	PROPN
bae-3304	346	15	,	,	PUNCT
bae-3304	346	16	and	and	CCONJ
bae-3304	346	17	kirby	kirby	PROPN
bae-3304	346	18	,	,	PUNCT
bae-3304	346	19	m.	m.	NOUN
bae-3304	346	20	(	(	PUNCT
bae-3304	346	21	2014	2014	NUM
bae-3304	346	22	)	)	PUNCT
bae-3304	346	23	.	.	PUNCT
bae-3304	347	1	a	a	DET
bae-3304	347	2	multi	multi	ADJ
bae-3304	347	3	-	-	ADJ
bae-3304	347	4	period	period	ADJ
bae-3304	347	5	positive	positive	ADJ
bae-3304	347	6	mathematical	mathematical	ADJ
bae-3304	347	7	programming	programming	NOUN
bae-3304	347	8	approach	approach	NOUN
bae-3304	347	9	for	for	ADP
bae-3304	347	10	assessing	assess	VERB
bae-3304	347	11	economic	economic	ADJ
bae-3304	347	12	impact	impact	NOUN
bae-3304	347	13	of	of	ADP
bae-3304	347	14	drought	drought	NOUN
bae-3304	347	15	in	in	ADP
bae-3304	347	16	the	the	DET
bae-3304	347	17	murray	murray	NOUN
bae-3304	347	18	-	-	PUNCT
bae-3304	347	19	darling	darling	NOUN
bae-3304	347	20	basin	basin	NOUN
bae-3304	347	21	,	,	PUNCT
bae-3304	347	22	australia	australia	PROPN
bae-3304	347	23	.	.	PUNCT
bae-3304	348	1	economic	economic	ADJ
bae-3304	348	2	modelling	modelling	NOUN
bae-3304	348	3	39	39	NUM
bae-3304	348	4	:	:	PUNCT
bae-3304	348	5	293	293	NUM
bae-3304	348	6	-	-	SYM
bae-3304	348	7	304	304	NUM
bae-3304	348	8	.	.	PUNCT
bae-3304	349	1	shephard	shephard	PROPN
bae-3304	349	2	,	,	PUNCT
bae-3304	349	3	r.w	r.w	PROPN
bae-3304	349	4	.	.	PROPN
bae-3304	349	5	(	(	PUNCT
bae-3304	349	6	1953	1953	NUM
bae-3304	349	7	)	)	PUNCT
bae-3304	349	8	.	.	PUNCT
bae-3304	350	1	cost	cost	NOUN
bae-3304	350	2	and	and	CCONJ
bae-3304	350	3	production	production	NOUN
bae-3304	350	4	functions	function	NOUN
bae-3304	350	5	.	.	PUNCT
bae-3304	351	1	princeton	princeton	PROPN
bae-3304	351	2	,	,	PUNCT
bae-3304	351	3	n.j	n.j	PROPN
bae-3304	351	4	.	.	PROPN
bae-3304	351	5	:	:	PUNCT
bae-3304	352	1	princeton	princeton	PROPN
bae-3304	352	2	university	university	PROPN
bae-3304	352	3	press	press	NOUN
bae-3304	352	4	.	.	PUNCT
bae-3304	353	1	a	a	DET
bae-3304	353	2	systematic	systematic	ADJ
bae-3304	353	3	approach	approach	NOUN
bae-3304	353	4	to	to	ADP
bae-3304	353	5	understanding	understanding	NOUN
bae-3304	353	6	and	and	CCONJ
bae-3304	353	7	quantifying	quantify	VERB
bae-3304	353	8	the	the	DET
bae-3304	353	9	eu	eu	PROPN
bae-3304	353	10	’s	’s	PART
bae-3304	353	11	bioeconomy	bioeconomy	NOUN
bae-3304	353	12	tévécia	tévécia	NOUN
bae-3304	353	13	ronzon1	ronzon1	PROPN
bae-3304	353	14	*	*	PROPN
bae-3304	353	15	,	,	PUNCT
bae-3304	353	16	stephan	stephan	PROPN
bae-3304	353	17	piotrowski2	piotrowski2	PROPN
bae-3304	353	18	,	,	PUNCT
bae-3304	353	19	robert	robert	PROPN
bae-3304	353	20	m’barek1	m’barek1	PROPN
bae-3304	353	21	,	,	PUNCT
bae-3304	353	22	michael	michael	PROPN
bae-3304	353	23	carus2	carus2	PROPN
bae-3304	353	24	cost	cost	VERB
bae-3304	353	25	function	function	NOUN
bae-3304	353	26	and	and	CCONJ
bae-3304	353	27	positive	positive	ADJ
bae-3304	353	28	mathematical	mathematical	ADJ
bae-3304	353	29	programming	programming	NOUN
bae-3304	353	30	quirino	quirino	PROPN
bae-3304	353	31	paris	paris	PROPN
bae-3304	353	32	what	what	PRON
bae-3304	353	33	if	if	SCONJ
bae-3304	353	34	meat	meat	NOUN
bae-3304	353	35	consumption	consumption	NOUN
bae-3304	353	36	would	would	AUX
bae-3304	353	37	decrease	decrease	VERB
bae-3304	353	38	more	more	ADV
bae-3304	353	39	than	than	SCONJ
bae-3304	353	40	expected	expect	VERB
bae-3304	353	41	in	in	ADP
bae-3304	353	42	the	the	DET
bae-3304	353	43	high	high	ADJ
bae-3304	353	44	-	-	PUNCT
bae-3304	353	45	income	income	NOUN
bae-3304	353	46	countries	country	NOUN
bae-3304	353	47	?	?	PUNCT
bae-3304	354	1	fabien	fabien	PROPN
bae-3304	354	2	santini	santini	PROPN
bae-3304	354	3	*	*	PROPN
bae-3304	354	4	,	,	PUNCT
bae-3304	354	5	tevecia	tevecia	NOUN
bae-3304	354	6	ronzon	ronzon	PROPN
bae-3304	354	7	,	,	PUNCT
bae-3304	354	8	ignacio	ignacio	PROPN
bae-3304	354	9	perez	perez	PROPN
bae-3304	354	10	dominguez	dominguez	PROPN
bae-3304	354	11	,	,	PUNCT
bae-3304	354	12	sergio	sergio	PROPN
bae-3304	354	13	rene	rene	PROPN
bae-3304	354	14	araujo	araujo	PROPN
bae-3304	354	15	enciso	enciso	PROPN
bae-3304	354	16	,	,	PUNCT
bae-3304	354	17	ilaria	ilaria	PROPN
bae-3304	354	18	proietti	proietti	PROPN
bae-3304	354	19	a	a	DET
bae-3304	354	20	stakeholder	stakeholder	NOUN
bae-3304	354	21	engagement	engagement	NOUN
bae-3304	354	22	approach	approach	NOUN
bae-3304	354	23	for	for	ADP
bae-3304	354	24	identifying	identify	VERB
bae-3304	354	25	future	future	ADJ
bae-3304	354	26	research	research	NOUN
bae-3304	354	27	directions	direction	NOUN
bae-3304	354	28	in	in	ADP
bae-3304	354	29	the	the	DET
bae-3304	354	30	evaluation	evaluation	NOUN
bae-3304	354	31	of	of	ADP
bae-3304	354	32	current	current	ADJ
bae-3304	354	33	and	and	CCONJ
bae-3304	354	34	emerging	emerge	VERB
bae-3304	354	35	applications	application	NOUN
bae-3304	354	36	of	of	ADP
bae-3304	354	37	gmos	gmos	PROPN
bae-3304	354	38	davide	davide	PROPN
bae-3304	354	39	menozzi1	menozzi1	PROPN
bae-3304	354	40	*	*	PROPN
bae-3304	354	41	,	,	PUNCT
bae-3304	354	42	kaloyan	kaloyan	PROPN
bae-3304	354	43	kostov2	kostov2	PROPN
bae-3304	354	44	,	,	PUNCT
bae-3304	354	45	giovanni	giovanni	PROPN
bae-3304	354	46	sogari1	sogari1	PROPN
bae-3304	354	47	,	,	PUNCT
bae-3304	354	48	salvatore	salvatore	NOUN
bae-3304	354	49	arpaia3	arpaia3	NOUN
bae-3304	354	50	,	,	PUNCT
bae-3304	354	51	daniela	daniela	PROPN
bae-3304	354	52	moyankova2	moyankova2	PROPN
bae-3304	354	53	,	,	PUNCT
bae-3304	354	54	cristina	cristina	PROPN
bae-3304	354	55	mora1	mora1	PROPN
bae-3304	355	1	a	a	DET
bae-3304	355	2	spatial	spatial	ADJ
bae-3304	355	3	analysis	analysis	NOUN
bae-3304	355	4	of	of	ADP
bae-3304	355	5	terrain	terrain	NOUN
bae-3304	355	6	features	feature	NOUN
bae-3304	355	7	and	and	CCONJ
bae-3304	355	8	farming	farming	NOUN
bae-3304	355	9	styles	style	NOUN
bae-3304	355	10	in	in	ADP
bae-3304	355	11	a	a	DET
bae-3304	355	12	disadvantaged	disadvantaged	ADJ
bae-3304	355	13	area	area	NOUN
bae-3304	355	14	of	of	ADP
bae-3304	355	15	tuscany	tuscany	PROPN
bae-3304	355	16	(	(	PUNCT
bae-3304	355	17	mugello	mugello	PROPN
bae-3304	355	18	):	):	PUNCT
bae-3304	355	19	implications	implication	NOUN
bae-3304	355	20	for	for	ADP
bae-3304	355	21	the	the	DET
bae-3304	355	22	evaluation	evaluation	NOUN
bae-3304	355	23	and	and	CCONJ
bae-3304	355	24	the	the	DET
bae-3304	355	25	design	design	NOUN
bae-3304	355	26	of	of	ADP
bae-3304	355	27	cap	cap	NOUN
bae-3304	355	28	payments	payment	NOUN
bae-3304	355	29	laura	laura	NOUN
bae-3304	355	30	fastelli1	fastelli1	PROPN
bae-3304	355	31	*	*	PROPN
bae-3304	355	32	,	,	PUNCT
bae-3304	355	33	chiara	chiara	PROPN
bae-3304	355	34	landi2	landi2	PROPN
bae-3304	355	35	,	,	PUNCT
bae-3304	355	36	massimo	massimo	PROPN
bae-3304	355	37	rovai1	rovai1	PROPN
bae-3304	355	38	,	,	PUNCT
bae-3304	355	39	maria	maria	PROPN
bae-3304	355	40	andreoli1	andreoli1	X