id sid tid token lemma pos issue-469 1 1 baltic baltic PROPN issue-469 1 2 journal journal PROPN issue-469 1 3 of of ADP issue-469 1 4 economic economic ADJ issue-469 1 5 studies study NOUN issue-469 1 6 372 372 NUM issue-469 1 7 vol vol NOUN issue-469 1 8 . . PROPN issue-469 1 9 4 4 NUM issue-469 1 10 , , PUNCT issue-469 1 11 no no INTJ issue-469 1 12 . . NOUN issue-469 1 13 3 3 NUM issue-469 1 14 , , PUNCT issue-469 1 15 2018 2018 NUM issue-469 1 16 corresponding correspond VERB issue-469 1 17 author author NOUN issue-469 1 18 : : PUNCT issue-469 1 19 1 1 NUM issue-469 1 20 department department NOUN issue-469 1 21 of of ADP issue-469 1 22 economics economic NOUN issue-469 1 23 of of ADP issue-469 1 24 enterprise enterprise NOUN issue-469 1 25 and and CCONJ issue-469 1 26 entrepreneurship entrepreneurship NOUN issue-469 1 27 , , PUNCT issue-469 1 28 odessa odessa ADJ issue-469 1 29 national national PROPN issue-469 1 30 economic economic PROPN issue-469 1 31 university university NOUN issue-469 1 32 . . PUNCT issue-469 2 1 e e X issue-469 2 2 - - NOUN issue-469 2 3 mail mail NOUN issue-469 2 4 : : PUNCT issue-469 2 5 yankovoy_@ukr.net yankovoy_@ukr.net PROPN issue-469 2 6 2 2 NUM issue-469 2 7 department department NOUN issue-469 2 8 of of ADP issue-469 2 9 sea sea NOUN issue-469 2 10 transport transport NOUN issue-469 2 11 economics economic NOUN issue-469 2 12 and and CCONJ issue-469 2 13 management management NOUN issue-469 2 14 , , PUNCT issue-469 2 15 national national ADJ issue-469 2 16 university university NOUN issue-469 2 17 “ " PUNCT issue-469 2 18 odessa odessa ADJ issue-469 2 19 maritime maritime PROPN issue-469 2 20 academy academy PROPN issue-469 2 21 ” " PUNCT issue-469 2 22 . . PUNCT issue-469 3 1 e e X issue-469 3 2 - - NOUN issue-469 3 3 mail mail NOUN issue-469 3 4 : : PUNCT issue-469 3 5 terra.scor@yandex.ua terra.scor@yandex.ua NOUN issue-469 3 6 3 3 NUM issue-469 3 7 department department NOUN issue-469 3 8 of of ADP issue-469 3 9 economics economic NOUN issue-469 3 10 of of ADP issue-469 3 11 enterprise enterprise NOUN issue-469 3 12 and and CCONJ issue-469 3 13 corporate corporate ADJ issue-469 3 14 management management NOUN issue-469 3 15 , , PUNCT issue-469 3 16 o.s o.s PROPN issue-469 3 17 . . PROPN issue-469 3 18 popov popov PROPN issue-469 3 19 odessa odessa PROPN issue-469 3 20 national national PROPN issue-469 3 21 academy academy PROPN issue-469 3 22 of of ADP issue-469 3 23 telecommunications telecommunication NOUN issue-469 3 24 . . PUNCT issue-469 4 1 e e X issue-469 4 2 - - NOUN issue-469 4 3 mail mail NOUN issue-469 4 4 : : PUNCT issue-469 4 5 pangelina@i.ua pangelina@i.ua NOUN issue-469 4 6 doi doi NOUN issue-469 4 7 : : PUNCT issue-469 4 8 https://doi.org/10.30525/2256-0742/2018-4-3-372-378 https://doi.org/10.30525/2256-0742/2018-4-3-372-378 ADJ issue-469 4 9 determination determination NOUN issue-469 4 10 of of ADP issue-469 4 11 optimum optimum NOUN issue-469 4 12 of of ADP issue-469 4 13 capital capital NOUN issue-469 4 14 - - PUNCT issue-469 4 15 labour labour NOUN issue-469 4 16 ratio ratio NOUN issue-469 4 17 within within ADP issue-469 4 18 two two NUM issue-469 4 19 - - PUNCT issue-469 4 20 factor factor NOUN issue-469 4 21 production production NOUN issue-469 4 22 functions function NOUN issue-469 4 23 with with ADP issue-469 4 24 non non ADJ issue-469 4 25 - - ADJ issue-469 4 26 zero zero NUM issue-469 4 27 substitution substitution NOUN issue-469 4 28 by by ADP issue-469 4 29 the the DET issue-469 4 30 principle principle NOUN issue-469 4 31 of of ADP issue-469 4 32 equal equal ADJ issue-469 4 33 margin margin NOUN issue-469 4 34 oleksandr oleksandr NOUN issue-469 4 35 yankovyi1 yankovyi1 PROPN issue-469 4 36 odessa odessa ADJ issue-469 4 37 national national PROPN issue-469 4 38 economic economic PROPN issue-469 4 39 university university PROPN issue-469 4 40 , , PUNCT issue-469 4 41 ukraine ukraine PROPN issue-469 4 42 lydmila lydmila PROPN issue-469 4 43 sotnychenko2 sotnychenko2 PROPN issue-469 4 44 national national PROPN issue-469 4 45 university university PROPN issue-469 4 46 “ " PUNCT issue-469 4 47 odessa odessa ADJ issue-469 4 48 maritime maritime PROPN issue-469 4 49 academy academy PROPN issue-469 4 50 ” " PUNCT issue-469 4 51 , , PUNCT issue-469 4 52 ukraine ukraine PROPN issue-469 4 53 angelina angelina PROPN issue-469 4 54 petrashevska3 petrashevska3 PROPN issue-469 5 1 o.s o.s PROPN issue-469 5 2 . . PUNCT issue-469 6 1 popov popov PROPN issue-469 6 2 odessa odessa PROPN issue-469 6 3 national national PROPN issue-469 6 4 academy academy PROPN issue-469 6 5 of of ADP issue-469 6 6 telecommunications telecommunication NOUN issue-469 6 7 , , PUNCT issue-469 6 8 ukraine ukraine PROPN issue-469 6 9 abstract abstract NOUN issue-469 6 10 . . PUNCT issue-469 7 1 theoretical theoretical ADJ issue-469 7 2 and and CCONJ issue-469 7 3 applying apply VERB issue-469 7 4 aspects aspect NOUN issue-469 7 5 of of ADP issue-469 7 6 using use VERB issue-469 7 7 the the DET issue-469 7 8 principle principle NOUN issue-469 7 9 of of ADP issue-469 7 10 equal equal ADJ issue-469 7 11 margin margin NOUN issue-469 7 12 in in ADP issue-469 7 13 microeconomics microeconomics NOUN issue-469 7 14 for for ADP issue-469 7 15 the the DET issue-469 7 16 determination determination NOUN issue-469 7 17 of of ADP issue-469 7 18 the the DET issue-469 7 19 optimal optimal ADJ issue-469 7 20 capital capital NOUN issue-469 7 21 - - PUNCT issue-469 7 22 labour labour NOUN issue-469 7 23 ratio ratio NOUN issue-469 7 24 within within ADP issue-469 7 25 two two NUM issue-469 7 26 - - PUNCT issue-469 7 27 factor factor NOUN issue-469 7 28 production production NOUN issue-469 7 29 functions function NOUN issue-469 7 30 with with ADP issue-469 7 31 non non ADJ issue-469 7 32 - - ADJ issue-469 7 33 zero zero NUM issue-469 7 34 substitution substitution NOUN issue-469 7 35 are be AUX issue-469 7 36 discussed discuss VERB issue-469 7 37 . . PUNCT issue-469 8 1 the the DET issue-469 8 2 use use NOUN issue-469 8 3 of of ADP issue-469 8 4 the the DET issue-469 8 5 proposed propose VERB issue-469 8 6 algorithm algorithm NOUN issue-469 8 7 is be AUX issue-469 8 8 carried carry VERB issue-469 8 9 out out ADP issue-469 8 10 on on ADP issue-469 8 11 the the DET issue-469 8 12 example example NOUN issue-469 8 13 of of ADP issue-469 8 14 such such ADJ issue-469 8 15 production production NOUN issue-469 8 16 functions function NOUN issue-469 8 17 as as ADP issue-469 8 18 cobb cobb PROPN issue-469 8 19 - - PUNCT issue-469 8 20 douglas douglas PROPN issue-469 8 21 function function PROPN issue-469 8 22 , , PUNCT issue-469 8 23 linear linear PROPN issue-469 8 24 , , PUNCT issue-469 8 25 leontief leontief ADJ issue-469 8 26 function function NOUN issue-469 8 27 , , PUNCT issue-469 8 28 which which PRON issue-469 8 29 are be AUX issue-469 8 30 generalized generalize VERB issue-469 8 31 by by ADP issue-469 8 32 a a DET issue-469 8 33 function function NOUN issue-469 8 34 with with ADP issue-469 8 35 constant constant ADJ issue-469 8 36 elasticity elasticity NOUN issue-469 8 37 of of ADP issue-469 8 38 the the DET issue-469 8 39 substitution substitution NOUN issue-469 8 40 of of ADP issue-469 8 41 factors factor NOUN issue-469 8 42 . . PUNCT issue-469 9 1 the the DET issue-469 9 2 purpose purpose NOUN issue-469 9 3 of of ADP issue-469 9 4 this this DET issue-469 9 5 article article NOUN issue-469 9 6 is be AUX issue-469 9 7 to to PART issue-469 9 8 offer offer VERB issue-469 9 9 a a DET issue-469 9 10 fairly fairly ADV issue-469 9 11 simple simple ADJ issue-469 9 12 opportunity opportunity NOUN issue-469 9 13 for for ADP issue-469 9 14 the the DET issue-469 9 15 economicmathematical economicmathematical ADJ issue-469 9 16 determination determination NOUN issue-469 9 17 of of ADP issue-469 9 18 optimal optimal ADJ issue-469 9 19 capital capital NOUN issue-469 9 20 - - PUNCT issue-469 9 21 labour labour NOUN issue-469 9 22 ratio ratio NOUN issue-469 9 23 within within ADP issue-469 9 24 two two NUM issue-469 9 25 - - PUNCT issue-469 9 26 factor factor NOUN issue-469 9 27 production production NOUN issue-469 9 28 functions function NOUN issue-469 9 29 with with ADP issue-469 9 30 the the DET issue-469 9 31 non non ADJ issue-469 9 32 - - ADJ issue-469 9 33 zero zero NUM issue-469 9 34 substitution substitution NOUN issue-469 9 35 of of ADP issue-469 9 36 resources resource NOUN issue-469 9 37 on on ADP issue-469 9 38 the the DET issue-469 9 39 basis basis NOUN issue-469 9 40 of of ADP issue-469 9 41 the the DET issue-469 9 42 principle principle NOUN issue-469 9 43 of of ADP issue-469 9 44 equal equal ADJ issue-469 9 45 margin margin NOUN issue-469 9 46 . . PUNCT issue-469 10 1 justified justify VERB issue-469 10 2 the the DET issue-469 10 3 principle principle NOUN issue-469 10 4 of of ADP issue-469 10 5 equal equal ADJ issue-469 10 6 margin margin NOUN issue-469 10 7 for for ADP issue-469 10 8 the the DET issue-469 10 9 determination determination NOUN issue-469 10 10 of of ADP issue-469 10 11 optimal optimal ADJ issue-469 10 12 capital capital NOUN issue-469 10 13 - - PUNCT issue-469 10 14 labour labour NOUN issue-469 10 15 ratio ratio NOUN issue-469 10 16 within within ADP issue-469 10 17 two two NUM issue-469 10 18 - - PUNCT issue-469 10 19 factor factor NOUN issue-469 10 20 production production NOUN issue-469 10 21 functions function NOUN issue-469 10 22 with with ADP issue-469 10 23 nonzero nonzero PROPN issue-469 10 24 substitution substitution NOUN issue-469 10 25 . . PUNCT issue-469 11 1 the the DET issue-469 11 2 results result NOUN issue-469 11 3 of of ADP issue-469 11 4 the the DET issue-469 11 5 study study NOUN issue-469 11 6 show show VERB issue-469 11 7 that that SCONJ issue-469 11 8 there there PRON issue-469 11 9 are be VERB issue-469 11 10 possibilities possibility NOUN issue-469 11 11 of of ADP issue-469 11 12 the the DET issue-469 11 13 proposed propose VERB issue-469 11 14 approach approach NOUN issue-469 11 15 to to ADP issue-469 11 16 the the DET issue-469 11 17 analysis analysis NOUN issue-469 11 18 of of ADP issue-469 11 19 extreme extreme ADJ issue-469 11 20 interconnections interconnection NOUN issue-469 11 21 between between ADP issue-469 11 22 production production NOUN issue-469 11 23 and and CCONJ issue-469 11 24 aggregate aggregate ADJ issue-469 11 25 factors factor NOUN issue-469 11 26 of of ADP issue-469 11 27 production production NOUN issue-469 11 28 . . PUNCT issue-469 12 1 practical practical ADJ issue-469 12 2 recommendations recommendation NOUN issue-469 12 3 on on ADP issue-469 12 4 the the DET issue-469 12 5 application application NOUN issue-469 12 6 of of ADP issue-469 12 7 these these DET issue-469 12 8 production production NOUN issue-469 12 9 functions function NOUN issue-469 12 10 in in ADP issue-469 12 11 the the DET issue-469 12 12 process process NOUN issue-469 12 13 of of ADP issue-469 12 14 econometric econometric ADJ issue-469 12 15 modelling modelling NOUN issue-469 12 16 and and CCONJ issue-469 12 17 forecasting forecasting NOUN issue-469 12 18 are be AUX issue-469 12 19 given give VERB issue-469 12 20 . . PUNCT issue-469 13 1 key key ADJ issue-469 13 2 words word NOUN issue-469 13 3 : : PUNCT issue-469 13 4 principle principle NOUN issue-469 13 5 of of ADP issue-469 13 6 equal equal ADJ issue-469 13 7 margin margin NOUN issue-469 13 8 , , PUNCT issue-469 13 9 production production NOUN issue-469 13 10 function function NOUN issue-469 13 11 , , PUNCT issue-469 13 12 substitution substitution NOUN issue-469 13 13 of of ADP issue-469 13 14 factors factor NOUN issue-469 13 15 , , PUNCT issue-469 13 16 optimal optimal ADJ issue-469 13 17 capital capital NOUN issue-469 13 18 - - PUNCT issue-469 13 19 labour labour NOUN issue-469 13 20 ratio ratio NOUN issue-469 13 21 . . PUNCT issue-469 14 1 jel jel PROPN issue-469 14 2 classification classification NOUN issue-469 14 3 : : PUNCT issue-469 14 4 c61 c61 PROPN issue-469 14 5 , , PUNCT issue-469 14 6 c65 c65 NOUN issue-469 14 7 , , PUNCT issue-469 14 8 d20 d20 VERB issue-469 14 9 , , PUNCT issue-469 14 10 d24 d24 VERB issue-469 14 11 1 1 NUM issue-469 14 12 . . PUNCT issue-469 15 1 introduction introduction NOUN issue-469 15 2 the the DET issue-469 15 3 main main ADJ issue-469 15 4 purpose purpose NOUN issue-469 15 5 of of ADP issue-469 15 6 the the DET issue-469 15 7 enterprise enterprise NOUN issue-469 15 8 in in ADP issue-469 15 9 modern modern ADJ issue-469 15 10 economic economic ADJ issue-469 15 11 science science NOUN issue-469 15 12 and and CCONJ issue-469 15 13 practice practice NOUN issue-469 15 14 is be AUX issue-469 15 15 the the DET issue-469 15 16 maximization maximization NOUN issue-469 15 17 of of ADP issue-469 15 18 profit profit NOUN issue-469 15 19 . . PUNCT issue-469 16 1 however however ADV issue-469 16 2 , , PUNCT issue-469 16 3 different different ADJ issue-469 16 4 enterprises enterprise NOUN issue-469 16 5 can can AUX issue-469 16 6 set set VERB issue-469 16 7 different different ADJ issue-469 16 8 goals goal NOUN issue-469 16 9 , , PUNCT issue-469 16 10 which which PRON issue-469 16 11 depend depend VERB issue-469 16 12 on on ADP issue-469 16 13 the the DET issue-469 16 14 interests interest NOUN issue-469 16 15 of of ADP issue-469 16 16 their their PRON issue-469 16 17 economic economic ADJ issue-469 16 18 agents agent NOUN issue-469 16 19 : : PUNCT issue-469 16 20 owners owner NOUN issue-469 16 21 of of ADP issue-469 16 22 enterprises enterprise NOUN issue-469 16 23 , , PUNCT issue-469 16 24 managers manager NOUN issue-469 16 25 , , PUNCT issue-469 16 26 shareholders shareholder NOUN issue-469 16 27 , , PUNCT issue-469 16 28 etc etc X issue-469 16 29 . . X issue-469 16 30 for for ADP issue-469 16 31 example example NOUN issue-469 16 32 , , PUNCT issue-469 16 33 managers manager NOUN issue-469 16 34 of of ADP issue-469 16 35 large large ADJ issue-469 16 36 enterprises enterprise NOUN issue-469 16 37 may may AUX issue-469 16 38 care care VERB issue-469 16 39 , , PUNCT issue-469 16 40 first first ADV issue-469 16 41 of of ADP issue-469 16 42 all all PRON issue-469 16 43 , , PUNCT issue-469 16 44 about about ADP issue-469 16 45 strengthening strengthen VERB issue-469 16 46 their their PRON issue-469 16 47 own own ADJ issue-469 16 48 position position NOUN issue-469 16 49 . . PUNCT issue-469 17 1 they they PRON issue-469 17 2 may may AUX issue-469 17 3 have have VERB issue-469 17 4 goals goal NOUN issue-469 17 5 to to PART issue-469 17 6 increase increase VERB issue-469 17 7 production production NOUN issue-469 17 8 ( ( PUNCT issue-469 17 9 works work NOUN issue-469 17 10 , , PUNCT issue-469 17 11 services service NOUN issue-469 17 12 ) ) PUNCT issue-469 17 13 or or CCONJ issue-469 17 14 increase increase VERB issue-469 17 15 the the DET issue-469 17 16 value value NOUN issue-469 17 17 of of ADP issue-469 17 18 the the DET issue-469 17 19 enterprise enterprise NOUN issue-469 17 20 because because SCONJ issue-469 17 21 the the DET issue-469 17 22 owners owner NOUN issue-469 17 23 of of ADP issue-469 17 24 the the DET issue-469 17 25 enterprises enterprise NOUN issue-469 17 26 will will AUX issue-469 17 27 judge judge VERB issue-469 17 28 about about ADP issue-469 17 29 the the DET issue-469 17 30 effectiveness effectiveness NOUN issue-469 17 31 of of ADP issue-469 17 32 managers manager NOUN issue-469 17 33 ’ ' PUNCT issue-469 17 34 activities activity NOUN issue-469 17 35 based base VERB issue-469 17 36 on on ADP issue-469 17 37 these these DET issue-469 17 38 indicators indicator NOUN issue-469 17 39 . . PUNCT issue-469 18 1 the the DET issue-469 18 2 main main ADJ issue-469 18 3 goal goal NOUN issue-469 18 4 of of ADP issue-469 18 5 the the DET issue-469 18 6 company company NOUN issue-469 18 7 in in ADP issue-469 18 8 the the DET issue-469 18 9 wellknown wellknown ADJ issue-469 18 10 japanese japanese ADJ issue-469 18 11 model model NOUN issue-469 18 12 is be AUX issue-469 18 13 the the DET issue-469 18 14 growth growth NOUN issue-469 18 15 of of ADP issue-469 18 16 added add VERB issue-469 18 17 value value NOUN issue-469 18 18 . . PUNCT issue-469 19 1 at at ADP issue-469 19 2 the the DET issue-469 19 3 present present ADJ issue-469 19 4 time time NOUN issue-469 19 5 , , PUNCT issue-469 19 6 world world NOUN issue-469 19 7 economic economic ADJ issue-469 19 8 thought thought NOUN issue-469 19 9 has have AUX issue-469 19 10 developed develop VERB issue-469 19 11 various various ADJ issue-469 19 12 theories theory NOUN issue-469 19 13 of of ADP issue-469 19 14 optimization optimization NOUN issue-469 19 15 of of ADP issue-469 19 16 the the DET issue-469 19 17 enterprise enterprise NOUN issue-469 19 18 . . PUNCT issue-469 20 1 in in ADP issue-469 20 2 these these DET issue-469 20 3 models model NOUN issue-469 20 4 , , PUNCT issue-469 20 5 the the DET issue-469 20 6 maximization maximization NOUN issue-469 20 7 of of ADP issue-469 20 8 the the DET issue-469 20 9 efficiency efficiency NOUN issue-469 20 10 of of ADP issue-469 20 11 management management NOUN issue-469 20 12 activity activity NOUN issue-469 20 13 , , PUNCT issue-469 20 14 the the DET issue-469 20 15 prestige prestige NOUN issue-469 20 16 of of ADP issue-469 20 17 the the DET issue-469 20 18 enterprise enterprise NOUN issue-469 20 19 , , PUNCT issue-469 20 20 the the DET issue-469 20 21 conquest conquest NOUN issue-469 20 22 and and CCONJ issue-469 20 23 maintenance maintenance NOUN issue-469 20 24 of of ADP issue-469 20 25 a a DET issue-469 20 26 certain certain ADJ issue-469 20 27 market market NOUN issue-469 20 28 share share NOUN issue-469 20 29 , , PUNCT issue-469 20 30 the the DET issue-469 20 31 development development NOUN issue-469 20 32 of of ADP issue-469 20 33 new new ADJ issue-469 20 34 markets market NOUN issue-469 20 35 , , PUNCT issue-469 20 36 etc etc X issue-469 20 37 . . X issue-469 20 38 , , PUNCT issue-469 20 39 is be AUX issue-469 20 40 put put VERB issue-469 20 41 forward forward ADV issue-469 20 42 to to ADP issue-469 20 43 maximizing maximize VERB issue-469 20 44 profits profit NOUN issue-469 20 45 . . PUNCT issue-469 21 1 thus thus ADV issue-469 21 2 , , PUNCT issue-469 21 3 in in ADP issue-469 21 4 microeconomics microeconomics NOUN issue-469 21 5 , , PUNCT issue-469 21 6 there there PRON issue-469 21 7 is be VERB issue-469 21 8 a a DET issue-469 21 9 well well ADV issue-469 21 10 - - PUNCT issue-469 21 11 known know VERB issue-469 21 12 approach approach NOUN issue-469 21 13 to to ADP issue-469 21 14 the the DET issue-469 21 15 optimization optimization NOUN issue-469 21 16 of of ADP issue-469 21 17 the the DET issue-469 21 18 enterprise enterprise NOUN issue-469 21 19 in in ADP issue-469 21 20 the the DET issue-469 21 21 case case NOUN issue-469 21 22 of of ADP issue-469 21 23 two two NUM issue-469 21 24 aggregated aggregate VERB issue-469 21 25 production production NOUN issue-469 21 26 factors factor NOUN issue-469 21 27 : : PUNCT issue-469 21 28 fixed fix VERB issue-469 21 29 assets asset NOUN issue-469 21 30 ( ( PUNCT issue-469 21 31 k k NOUN issue-469 21 32 ) ) PUNCT issue-469 21 33 and and CCONJ issue-469 21 34 labour labour NOUN issue-469 21 35 ( ( PUNCT issue-469 21 36 l l NOUN issue-469 21 37 ) ) PUNCT issue-469 21 38 . . PUNCT issue-469 22 1 the the DET issue-469 22 2 essence essence NOUN issue-469 22 3 of of ADP issue-469 22 4 this this DET issue-469 22 5 approach approach NOUN issue-469 22 6 is be AUX issue-469 22 7 to to PART issue-469 22 8 determine determine VERB issue-469 22 9 a a DET issue-469 22 10 point point NOUN issue-469 22 11 with with ADP issue-469 22 12 coordinates coordinate NOUN issue-469 22 13 k1 k1 PROPN issue-469 22 14 , , PUNCT issue-469 22 15 l1 l1 PROPN issue-469 22 16 , , PUNCT issue-469 22 17 which which PRON issue-469 22 18 maximizes maximize VERB issue-469 22 19 output output NOUN issue-469 22 20 y1 y1 NOUN issue-469 22 21 with with ADP issue-469 22 22 given give VERB issue-469 22 23 general general ADJ issue-469 22 24 capital capital NOUN issue-469 22 25 costs cost NOUN issue-469 22 26 c1 c1 NOUN issue-469 22 27 = = PROPN issue-469 22 28 k1 k1 PROPN issue-469 22 29 + + X issue-469 22 30 l1 l1 PROPN issue-469 22 31 ( ( PUNCT issue-469 22 32 minimizes minimize VERB issue-469 22 33 overall overall ADJ issue-469 22 34 costs cost NOUN issue-469 22 35 c1 c1 NOUN issue-469 22 36 for for ADP issue-469 22 37 a a DET issue-469 22 38 certain certain ADJ issue-469 22 39 output output NOUN issue-469 22 40 y1 y1 NOUN issue-469 22 41 ) ) PUNCT issue-469 22 42 . . PUNCT issue-469 23 1 the the DET issue-469 23 2 main main ADJ issue-469 23 3 approach approach NOUN issue-469 23 4 to to ADP issue-469 23 5 the the DET issue-469 23 6 solution solution NOUN issue-469 23 7 of of ADP issue-469 23 8 this this DET issue-469 23 9 problem problem NOUN issue-469 23 10 is be AUX issue-469 23 11 the the DET issue-469 23 12 apparatus apparatus NOUN issue-469 23 13 of of ADP issue-469 23 14 production production NOUN issue-469 23 15 functions function NOUN issue-469 23 16 ( ( PUNCT issue-469 23 17 pf pf NOUN issue-469 23 18 ) ) PUNCT issue-469 23 19 , , PUNCT issue-469 23 20 in in ADP issue-469 23 21 particular particular ADJ issue-469 23 22 , , PUNCT issue-469 23 23 their their PRON issue-469 23 24 geometric geometric ADJ issue-469 23 25 interpretation interpretation NOUN issue-469 23 26 in in ADP issue-469 23 27 the the DET issue-469 23 28 form form NOUN issue-469 23 29 of of ADP issue-469 23 30 isoquants isoquant NOUN issue-469 23 31 , , PUNCT issue-469 23 32 isocosts isocost NOUN issue-469 23 33 , , PUNCT issue-469 23 34 and and CCONJ issue-469 23 35 the the DET issue-469 23 36 like like ADJ issue-469 23 37 . . PUNCT issue-469 24 1 thus thus ADV issue-469 24 2 , , PUNCT issue-469 24 3 it it PRON issue-469 24 4 is be AUX issue-469 24 5 possible possible ADJ issue-469 24 6 to to PART issue-469 24 7 specify specify VERB issue-469 24 8 at at ADP issue-469 24 9 least least ADJ issue-469 24 10 four four NUM issue-469 24 11 two two NUM issue-469 24 12 - - PUNCT issue-469 24 13 factor factor NOUN issue-469 24 14 pfs pfs NOUN issue-469 24 15 that that PRON issue-469 24 16 are be AUX issue-469 24 17 most most ADV issue-469 24 18 popular popular ADJ issue-469 24 19 baltic baltic ADJ issue-469 24 20 journal journal NOUN issue-469 24 21 of of ADP issue-469 24 22 economic economic ADJ issue-469 24 23 studies study NOUN issue-469 24 24 373 373 NUM issue-469 24 25 vol vol NOUN issue-469 24 26 . . PROPN issue-469 25 1 4 4 NUM issue-469 25 2 , , PUNCT issue-469 25 3 no no INTJ issue-469 25 4 . . NOUN issue-469 25 5 3 3 NUM issue-469 25 6 , , PUNCT issue-469 25 7 2018 2018 NUM issue-469 25 8 in in ADP issue-469 25 9 economic economic ADJ issue-469 25 10 of of ADP issue-469 25 11 resources resource NOUN issue-469 25 12 or or CCONJ issue-469 25 13 the the DET issue-469 25 14 ces ce NOUN issue-469 25 15 - - NOUN issue-469 25 16 function function NOUN issue-469 25 17 ; ; PUNCT issue-469 25 18 2 2 X issue-469 25 19 ) ) PUNCT issue-469 25 20 cobbdouglas cobbdougla VERB issue-469 25 21 pf pf NOUN issue-469 25 22 ; ; PUNCT issue-469 25 23 3 3 X issue-469 25 24 ) ) PUNCT issue-469 25 25 linear linear NOUN issue-469 25 26 pf pf NOUN issue-469 25 27 ; ; PUNCT issue-469 25 28 4 4 X issue-469 25 29 ) ) PUNCT issue-469 25 30 leontief leontief ADJ issue-469 25 31 function function NOUN issue-469 25 32 . . PUNCT issue-469 26 1 this this PRON issue-469 26 2 raises raise VERB issue-469 26 3 the the DET issue-469 26 4 following follow VERB issue-469 26 5 problem problem NOUN issue-469 26 6 : : PUNCT issue-469 26 7 how how SCONJ issue-469 26 8 to to PART issue-469 26 9 determine determine VERB issue-469 26 10 the the DET issue-469 26 11 optimal optimal ADJ issue-469 26 12 combination combination NOUN issue-469 26 13 of of ADP issue-469 26 14 production production NOUN issue-469 26 15 factors factor NOUN issue-469 26 16 in in ADP issue-469 26 17 each each DET issue-469 26 18 specific specific ADJ issue-469 26 19 case case NOUN issue-469 26 20 of of ADP issue-469 26 21 the the DET issue-469 26 22 adequate adequate ADJ issue-469 26 23 application application NOUN issue-469 26 24 of of ADP issue-469 26 25 a a DET issue-469 26 26 certain certain ADJ issue-469 26 27 pf pf NOUN issue-469 26 28 among among ADP issue-469 26 29 the the DET issue-469 26 30 above above ADJ issue-469 26 31 four four NUM issue-469 26 32 functions function NOUN issue-469 26 33 . . PUNCT issue-469 27 1 2 2 X issue-469 27 2 . . X issue-469 27 3 analysis analysis NOUN issue-469 27 4 of of ADP issue-469 27 5 recent recent ADJ issue-469 27 6 research research NOUN issue-469 27 7 and and CCONJ issue-469 27 8 publications publication VERB issue-469 27 9 some some DET issue-469 27 10 aspects aspect NOUN issue-469 27 11 of of ADP issue-469 27 12 the the DET issue-469 27 13 considered consider VERB issue-469 27 14 problem problem NOUN issue-469 27 15 are be AUX issue-469 27 16 found find VERB issue-469 27 17 in in ADP issue-469 27 18 ( ( PUNCT issue-469 27 19 pindyke pindyke NOUN issue-469 27 20 et et PROPN issue-469 27 21 al al PROPN issue-469 27 22 . . PROPN issue-469 27 23 , , PUNCT issue-469 27 24 2002 2002 NUM issue-469 27 25 ; ; PUNCT issue-469 27 26 halperin halperin NOUN issue-469 27 27 , , PUNCT issue-469 27 28 2004 2004 NUM issue-469 27 29 ; ; PUNCT issue-469 27 30 perloff perloff VERB issue-469 27 31 , , PUNCT issue-469 27 32 2014 2014 NUM issue-469 27 33 ) ) PUNCT issue-469 27 34 among among ADP issue-469 27 35 the the DET issue-469 27 36 authors author NOUN issue-469 27 37 , , PUNCT issue-469 27 38 who who PRON issue-469 27 39 have have AUX issue-469 27 40 recently recently ADV issue-469 27 41 been be AUX issue-469 27 42 using use VERB issue-469 27 43 the the DET issue-469 27 44 pf pf NOUN issue-469 27 45 , , PUNCT issue-469 27 46 generalized generalize VERB issue-469 27 47 by by ADP issue-469 27 48 the the DET issue-469 27 49 ces ce NOUN issue-469 27 50 - - NOUN issue-469 27 51 function function NOUN issue-469 27 52 . . PUNCT issue-469 28 1 for for ADP issue-469 28 2 example example NOUN issue-469 28 3 , , PUNCT issue-469 28 4 ( ( PUNCT issue-469 28 5 debertin debertin PROPN issue-469 28 6 , , PUNCT issue-469 28 7 2012 2012 NUM issue-469 28 8 ) ) PUNCT issue-469 28 9 considers consider VERB issue-469 28 10 the the DET issue-469 28 11 algebraic algebraic ADJ issue-469 28 12 conditions condition NOUN issue-469 28 13 for for ADP issue-469 28 14 maximizing maximize VERB issue-469 28 15 neoclassical neoclassical ADJ issue-469 28 16 pfs pfs PROPN issue-469 28 17 based base VERB issue-469 28 18 on on ADP issue-469 28 19 the the DET issue-469 28 20 analysis analysis NOUN issue-469 28 21 of of ADP issue-469 28 22 the the DET issue-469 28 23 signs sign NOUN issue-469 28 24 of of ADP issue-469 28 25 the the DET issue-469 28 26 first first ADJ issue-469 28 27 and and CCONJ issue-469 28 28 second second ADJ issue-469 28 29 derivatives derivative NOUN issue-469 28 30 of of ADP issue-469 28 31 additive additive ADJ issue-469 28 32 and and CCONJ issue-469 28 33 multiplicative multiplicative ADJ issue-469 28 34 models model NOUN issue-469 28 35 of of ADP issue-469 28 36 agricultural agricultural ADJ issue-469 28 37 production production NOUN issue-469 28 38 . . PUNCT issue-469 29 1 he he PRON issue-469 29 2 also also ADV issue-469 29 3 gives give VERB issue-469 29 4 a a DET issue-469 29 5 geometric geometric ADJ issue-469 29 6 interpretation interpretation NOUN issue-469 29 7 of of ADP issue-469 29 8 the the DET issue-469 29 9 presence presence NOUN issue-469 29 10 of of ADP issue-469 29 11 local local ADJ issue-469 29 12 extrema extrema NOUN issue-469 29 13 and and CCONJ issue-469 29 14 a a DET issue-469 29 15 global global ADJ issue-469 29 16 maximum maximum NOUN issue-469 29 17 based base VERB issue-469 29 18 on on ADP issue-469 29 19 the the DET issue-469 29 20 saddle saddle NOUN issue-469 29 21 points point NOUN issue-469 29 22 of of ADP issue-469 29 23 the the DET issue-469 29 24 surface surface NOUN issue-469 29 25 of of ADP issue-469 29 26 the the DET issue-469 29 27 pf pf PROPN issue-469 29 28 . . PROPN issue-469 30 1 at at ADP issue-469 30 2 the the DET issue-469 30 3 same same ADJ issue-469 30 4 time time NOUN issue-469 30 5 , , PUNCT issue-469 30 6 debertin debertin PROPN issue-469 30 7 does do AUX issue-469 30 8 not not PART issue-469 30 9 link link VERB issue-469 30 10 the the DET issue-469 30 11 problem problem NOUN issue-469 30 12 of of ADP issue-469 30 13 maximizing maximize VERB issue-469 30 14 output output NOUN issue-469 30 15 with with ADP issue-469 30 16 the the DET issue-469 30 17 determination determination NOUN issue-469 30 18 of of ADP issue-469 30 19 the the DET issue-469 30 20 level level NOUN issue-469 30 21 of of ADP issue-469 30 22 the the DET issue-469 30 23 optimal optimal ADJ issue-469 30 24 capital capital NOUN issue-469 30 25 - - PUNCT issue-469 30 26 labour labour NOUN issue-469 30 27 ratio ratio NOUN issue-469 30 28 in in ADP issue-469 30 29 the the DET issue-469 30 30 studied studied ADJ issue-469 30 31 pf pf NOUN issue-469 30 32 . . PUNCT issue-469 31 1 it it PRON issue-469 31 2 is be AUX issue-469 31 3 necessary necessary ADJ issue-469 31 4 to to PART issue-469 31 5 note note VERB issue-469 31 6 the the DET issue-469 31 7 works work NOUN issue-469 31 8 of of ADP issue-469 31 9 ( ( PUNCT issue-469 31 10 borovsky borovsky ADJ issue-469 31 11 , , PUNCT issue-469 31 12 2008 2008 NUM issue-469 31 13 ; ; PUNCT issue-469 31 14 kazakova kazakova PROPN issue-469 31 15 , , PUNCT issue-469 31 16 2013 2013 NUM issue-469 31 17 ; ; PUNCT issue-469 31 18 podladchikov podladchikov NOUN issue-469 31 19 , , PUNCT issue-469 31 20 2012 2012 NUM issue-469 31 21 ; ; PUNCT issue-469 31 22 cherevko cherevko NOUN issue-469 31 23 , , PUNCT issue-469 31 24 2007 2007 NUM issue-469 31 25 ; ; PUNCT issue-469 31 26 shumska shumska NOUN issue-469 31 27 , , PUNCT issue-469 31 28 2007 2007 NUM issue-469 31 29 ) ) PUNCT issue-469 31 30 publications publication NOUN issue-469 31 31 . . PUNCT issue-469 32 1 however however ADV issue-469 32 2 , , PUNCT issue-469 32 3 there there PRON issue-469 32 4 is be VERB issue-469 32 5 no no DET issue-469 32 6 systematic systematic ADJ issue-469 32 7 approach approach NOUN issue-469 32 8 to to ADP issue-469 32 9 the the DET issue-469 32 10 solution solution NOUN issue-469 32 11 of of ADP issue-469 32 12 the the DET issue-469 32 13 discussed discuss VERB issue-469 32 14 problem problem NOUN issue-469 32 15 in in ADP issue-469 32 16 the the DET issue-469 32 17 modern modern ADJ issue-469 32 18 economic economic ADJ issue-469 32 19 literature literature NOUN issue-469 32 20 . . PUNCT issue-469 33 1 so so ADV issue-469 33 2 far far ADV issue-469 33 3 , , PUNCT issue-469 33 4 there there PRON issue-469 33 5 has have AUX issue-469 33 6 not not PART issue-469 33 7 been be AUX issue-469 33 8 a a DET issue-469 33 9 comprehensive comprehensive ADJ issue-469 33 10 study study NOUN issue-469 33 11 of of ADP issue-469 33 12 existing exist VERB issue-469 33 13 approaches approach NOUN issue-469 33 14 to to ADP issue-469 33 15 the the DET issue-469 33 16 determination determination NOUN issue-469 33 17 of of ADP issue-469 33 18 optimal optimal ADJ issue-469 33 19 capital capital NOUN issue-469 33 20 - - PUNCT issue-469 33 21 labour labour NOUN issue-469 33 22 ratio ratio NOUN issue-469 33 23 k1 k1 PROPN issue-469 33 24 / / SYM issue-469 33 25 l1 l1 PROPN issue-469 33 26 for for ADP issue-469 33 27 any any DET issue-469 33 28 pf pf NOUN issue-469 33 29 , , PUNCT issue-469 33 30 in in ADP issue-469 33 31 particular particular ADJ issue-469 33 32 , , PUNCT issue-469 33 33 for for ADP issue-469 33 34 econometric econometric ADJ issue-469 33 35 models model NOUN issue-469 33 36 , , PUNCT issue-469 33 37 generalized generalize VERB issue-469 33 38 by by ADP issue-469 33 39 the the DET issue-469 33 40 ces ce NOUN issue-469 33 41 - - NOUN issue-469 33 42 function function NOUN issue-469 33 43 . . PUNCT issue-469 34 1 it it PRON issue-469 34 2 means mean VERB issue-469 34 3 that that SCONJ issue-469 34 4 there there PRON issue-469 34 5 are be VERB issue-469 34 6 a a DET issue-469 34 7 general general ADJ issue-469 34 8 understanding understanding NOUN issue-469 34 9 and and CCONJ issue-469 34 10 geometric geometric ADJ issue-469 34 11 interpretation interpretation NOUN issue-469 34 12 of of ADP issue-469 34 13 this this DET issue-469 34 14 problem problem NOUN issue-469 34 15 , , PUNCT issue-469 34 16 but but CCONJ issue-469 34 17 there there PRON issue-469 34 18 is be VERB issue-469 34 19 no no DET issue-469 34 20 universal universal ADJ issue-469 34 21 methodological methodological ADJ issue-469 34 22 tool tool NOUN issue-469 34 23 for for ADP issue-469 34 24 its its PRON issue-469 34 25 solution solution NOUN issue-469 34 26 . . PUNCT issue-469 35 1 3 3 X issue-469 35 2 . . X issue-469 35 3 setting set VERB issue-469 35 4 targets target NOUN issue-469 35 5 the the DET issue-469 35 6 purpose purpose NOUN issue-469 35 7 of of ADP issue-469 35 8 the the DET issue-469 35 9 paper paper NOUN issue-469 35 10 is be AUX issue-469 35 11 to to PART issue-469 35 12 offer offer VERB issue-469 35 13 a a DET issue-469 35 14 fairly fairly ADV issue-469 35 15 simple simple ADJ issue-469 35 16 opportunity opportunity NOUN issue-469 35 17 for for ADP issue-469 35 18 the the DET issue-469 35 19 economic economic ADJ issue-469 35 20 - - PUNCT issue-469 35 21 mathematical mathematical ADJ issue-469 35 22 determination determination NOUN issue-469 35 23 of of ADP issue-469 35 24 optimal optimal ADJ issue-469 35 25 capital capital NOUN issue-469 35 26 - - PUNCT issue-469 35 27 labour labour NOUN issue-469 35 28 ratio ratio NOUN issue-469 35 29 k1 k1 PROPN issue-469 35 30 / / SYM issue-469 35 31 l1 l1 PROPN issue-469 35 32 within within ADP issue-469 35 33 two two NUM issue-469 35 34 - - PUNCT issue-469 35 35 factor factor NOUN issue-469 35 36 pf pf NOUN issue-469 35 37 with with ADP issue-469 35 38 the the DET issue-469 35 39 non non ADJ issue-469 35 40 - - ADJ issue-469 35 41 zero zero NUM issue-469 35 42 substitution substitution NOUN issue-469 35 43 of of ADP issue-469 35 44 resources resource NOUN issue-469 35 45 on on ADP issue-469 35 46 the the DET issue-469 35 47 basis basis NOUN issue-469 35 48 of of ADP issue-469 35 49 the the DET issue-469 35 50 principle principle NOUN issue-469 35 51 of of ADP issue-469 35 52 equal equal ADJ issue-469 35 53 margin margin NOUN issue-469 35 54 , , PUNCT issue-469 35 55 which which PRON issue-469 35 56 is be AUX issue-469 35 57 well well ADV issue-469 35 58 - - PUNCT issue-469 35 59 known know VERB issue-469 35 60 in in ADP issue-469 35 61 the the DET issue-469 35 62 microeconomics microeconomic NOUN issue-469 35 63 . . PUNCT issue-469 36 1 4 4 X issue-469 36 2 . . X issue-469 36 3 formulation formulation NOUN issue-469 36 4 of of ADP issue-469 36 5 the the DET issue-469 36 6 problem problem NOUN issue-469 36 7 in in ADP issue-469 36 8 graphical graphical ADJ issue-469 36 9 form form NOUN issue-469 36 10 the the DET issue-469 36 11 graphic graphic ADJ issue-469 36 12 definition definition NOUN issue-469 36 13 of of ADP issue-469 36 14 the the DET issue-469 36 15 optimum optimum NOUN issue-469 36 16 of of ADP issue-469 36 17 the the DET issue-469 36 18 capitallabour capitallabour NOUN issue-469 36 19 ratio ratio NOUN issue-469 36 20 of of ADP issue-469 36 21 the the DET issue-469 36 22 enterprise enterprise NOUN issue-469 36 23 is be AUX issue-469 36 24 as as SCONJ issue-469 36 25 follows follow VERB issue-469 36 26 . . PUNCT issue-469 37 1 effective effective ADJ issue-469 37 2 ways way NOUN issue-469 37 3 of of ADP issue-469 37 4 obtaining obtain VERB issue-469 37 5 a a DET issue-469 37 6 given give VERB issue-469 37 7 volume volume NOUN issue-469 37 8 of of ADP issue-469 37 9 output output NOUN issue-469 37 10 are be AUX issue-469 37 11 determined determine VERB issue-469 37 12 by by ADP issue-469 37 13 the the DET issue-469 37 14 corresponding corresponding ADJ issue-469 37 15 isoquant isoquant NOUN issue-469 37 16 of of ADP issue-469 37 17 pf pf NOUN issue-469 37 18 or or CCONJ issue-469 37 19 the the DET issue-469 37 20 map map NOUN issue-469 37 21 of of ADP issue-469 37 22 isoquants isoquant NOUN issue-469 37 23 , , PUNCT issue-469 37 24 which which PRON issue-469 37 25 represents represent VERB issue-469 37 26 the the DET issue-469 37 27 multiplicity multiplicity NOUN issue-469 37 28 of of ADP issue-469 37 29 the the DET issue-469 37 30 choice choice NOUN issue-469 37 31 of of ADP issue-469 37 32 output output NOUN issue-469 37 33 volumes volume NOUN issue-469 37 34 if if SCONJ issue-469 37 35 it it PRON issue-469 37 36 is be AUX issue-469 37 37 possible possible ADJ issue-469 37 38 . . PUNCT issue-469 38 1 the the DET issue-469 38 2 economic economic ADJ issue-469 38 3 opportunities opportunity NOUN issue-469 38 4 of of ADP issue-469 38 5 the the DET issue-469 38 6 enterprise enterprise NOUN issue-469 38 7 are be AUX issue-469 38 8 set set VERB issue-469 38 9 by by ADP issue-469 38 10 isocost isocost NOUN issue-469 38 11 of of ADP issue-469 38 12 pf pf NOUN issue-469 38 13 or or CCONJ issue-469 38 14 the the DET issue-469 38 15 map map NOUN issue-469 38 16 of of ADP issue-469 38 17 isocosts isocost NOUN issue-469 38 18 , , PUNCT issue-469 38 19 which which PRON issue-469 38 20 is be AUX issue-469 38 21 the the DET issue-469 38 22 variation variation NOUN issue-469 38 23 of of ADP issue-469 38 24 the the DET issue-469 38 25 budget budget NOUN issue-469 38 26 allocated allocate VERB issue-469 38 27 for for ADP issue-469 38 28 the the DET issue-469 38 29 obtaining obtaining NOUN issue-469 38 30 of of ADP issue-469 38 31 production production NOUN issue-469 38 32 factors factor NOUN issue-469 38 33 if if SCONJ issue-469 38 34 it it PRON issue-469 38 35 is be AUX issue-469 38 36 possible possible ADJ issue-469 38 37 . . PUNCT issue-469 39 1 the the DET issue-469 39 2 optimal optimal ADJ issue-469 39 3 combination combination NOUN issue-469 39 4 of of ADP issue-469 39 5 resources resource NOUN issue-469 39 6 is be AUX issue-469 39 7 graphically graphically ADV issue-469 39 8 depicted depict VERB issue-469 39 9 in in ADP issue-469 39 10 fig fig NOUN issue-469 39 11 . . PUNCT issue-469 40 1 1 1 NUM issue-469 40 2 , , PUNCT issue-469 40 3 which which PRON issue-469 40 4 shows show VERB issue-469 40 5 the the DET issue-469 40 6 isoquants isoquant NOUN issue-469 40 7 and and CCONJ issue-469 40 8 isocosts isocost NOUN issue-469 40 9 of of ADP issue-469 40 10 the the DET issue-469 40 11 neoclassical neoclassical ADJ issue-469 40 12 pf pf PROPN issue-469 40 13 . . PUNCT issue-469 40 14 combinations combination NOUN issue-469 40 15 of of ADP issue-469 40 16 production production NOUN issue-469 40 17 factors factor NOUN issue-469 40 18 k k PROPN issue-469 40 19 and and CCONJ issue-469 40 20 l l PROPN issue-469 40 21 , , PUNCT issue-469 40 22 marked mark VERB issue-469 40 23 by by ADP issue-469 40 24 the the DET issue-469 40 25 points point NOUN issue-469 40 26 a a DET issue-469 40 27 , , PUNCT issue-469 40 28 b b NOUN issue-469 40 29 , , PUNCT issue-469 40 30 f f AUX issue-469 40 31 , , PUNCT issue-469 40 32 lie lie VERB issue-469 40 33 on on ADP issue-469 40 34 the the DET issue-469 40 35 isocost isocost ADJ issue-469 40 36 c1 c1 NOUN issue-469 40 37 and and CCONJ issue-469 40 38 on on ADP issue-469 40 39 two two NUM issue-469 40 40 isoquants isoquant NOUN issue-469 40 41 y1 y1 NOUN issue-469 40 42 , , PUNCT issue-469 40 43 y2 y2 PROPN issue-469 40 44 in in ADP issue-469 40 45 fig fig NOUN issue-469 40 46 . . PUNCT issue-469 41 1 1 1 NUM issue-469 41 2 . . PUNCT issue-469 42 1 but but CCONJ issue-469 42 2 the the DET issue-469 42 3 best good ADJ issue-469 42 4 of of ADP issue-469 42 5 them they PRON issue-469 42 6 is be AUX issue-469 42 7 a a DET issue-469 42 8 combination combination NOUN issue-469 42 9 at at ADP issue-469 42 10 point point NOUN issue-469 42 11 b b NOUN issue-469 42 12 because because SCONJ issue-469 42 13 it it PRON issue-469 42 14 provides provide VERB issue-469 42 15 the the DET issue-469 42 16 largest large ADJ issue-469 42 17 output output NOUN issue-469 42 18 of of ADP issue-469 42 19 products product NOUN issue-469 43 1 y2 y2 NOUN issue-469 43 2 . . PUNCT issue-469 44 1 consequently consequently ADV issue-469 44 2 , , PUNCT issue-469 44 3 a a DET issue-469 44 4 combination combination NOUN issue-469 44 5 of of ADP issue-469 44 6 production production NOUN issue-469 44 7 factors factor NOUN issue-469 44 8 that that PRON issue-469 44 9 maximizes maximize VERB issue-469 44 10 output output NOUN issue-469 44 11 is be AUX issue-469 44 12 the the DET issue-469 44 13 point point NOUN issue-469 44 14 of of ADP issue-469 44 15 touch touch NOUN issue-469 44 16 of of ADP issue-469 44 17 isocost isocost NOUN issue-469 44 18 and and CCONJ issue-469 44 19 the the DET issue-469 44 20 highest high ADJ issue-469 44 21 of of ADP issue-469 44 22 possible possible ADJ issue-469 44 23 isoquants isoquant NOUN issue-469 44 24 . . PUNCT issue-469 45 1 combinations combination NOUN issue-469 45 2 of of ADP issue-469 45 3 factors factor NOUN issue-469 45 4 k k PROPN issue-469 45 5 and and CCONJ issue-469 45 6 l l PROPN issue-469 45 7 , , PUNCT issue-469 45 8 marked mark VERB issue-469 45 9 with with ADP issue-469 45 10 points point NOUN issue-469 45 11 d d PROPN issue-469 45 12 , , PUNCT issue-469 45 13 b b NOUN issue-469 45 14 , , PUNCT issue-469 45 15 e e NOUN issue-469 45 16 in in ADP issue-469 45 17 fig fig NOUN issue-469 45 18 . . PUNCT issue-469 46 1 1 1 NUM issue-469 46 2 , , PUNCT issue-469 46 3 lie lie VERB issue-469 46 4 on on ADP issue-469 46 5 one one NUM issue-469 46 6 isoquant isoquant NOUN issue-469 46 7 and and CCONJ issue-469 46 8 on on ADP issue-469 46 9 two two NUM issue-469 46 10 isocosts isocost NOUN issue-469 46 11 c1 c1 PROPN issue-469 46 12 , , PUNCT issue-469 46 13 c2 c2 PROPN issue-469 46 14 . . PUNCT issue-469 47 1 all all PRON issue-469 47 2 of of ADP issue-469 47 3 them they PRON issue-469 47 4 are be AUX issue-469 47 5 effective effective ADJ issue-469 47 6 , , PUNCT issue-469 47 7 but but CCONJ issue-469 47 8 the the DET issue-469 47 9 best good ADJ issue-469 47 10 from from ADP issue-469 47 11 an an DET issue-469 47 12 economic economic ADJ issue-469 47 13 point point NOUN issue-469 47 14 of of ADP issue-469 47 15 view view NOUN issue-469 47 16 is be AUX issue-469 47 17 a a DET issue-469 47 18 combination combination NOUN issue-469 47 19 at at ADP issue-469 47 20 point point NOUN issue-469 47 21 b b NOUN issue-469 47 22 because because SCONJ issue-469 47 23 it it PRON issue-469 47 24 needs need VERB issue-469 47 25 the the DET issue-469 47 26 smallest small ADJ issue-469 47 27 amount amount NOUN issue-469 47 28 of of ADP issue-469 47 29 cost cost NOUN issue-469 47 30 c1 c1 NOUN issue-469 47 31 . . PUNCT issue-469 48 1 consequently consequently ADV issue-469 48 2 , , PUNCT issue-469 48 3 y2 y2 NOUN issue-469 48 4 y3 y3 NOUN issue-469 48 5 d d PROPN issue-469 48 6 a a DET issue-469 48 7 φ φ PROPN issue-469 48 8 с1 с1 PROPN issue-469 48 9 bk1 bk1 NOUN issue-469 48 10 0 0 PUNCT issue-469 49 1 l l PROPN issue-469 49 2 k k PROPN issue-469 49 3 l1 l1 PROPN issue-469 49 4 y1 y1 PROPN issue-469 50 1 e e X issue-469 50 2 с2 с2 NOUN issue-469 50 3 f f PROPN issue-469 50 4 figure figure NOUN issue-469 50 5 1 1 NUM issue-469 50 6 . . PUNCT issue-469 51 1 determination determination NOUN issue-469 51 2 of of ADP issue-469 51 3 the the DET issue-469 51 4 optimal optimal ADJ issue-469 51 5 point point NOUN issue-469 51 6 on on ADP issue-469 51 7 the the DET issue-469 51 8 map map NOUN issue-469 51 9 of of ADP issue-469 51 10 isoquants isoquant NOUN issue-469 51 11 and and CCONJ issue-469 51 12 isocosts isocost NOUN issue-469 51 13 of of ADP issue-469 51 14 the the DET issue-469 51 15 neoclassical neoclassical ADJ issue-469 51 16 pf pf NOUN issue-469 51 17 ( ( PUNCT issue-469 51 18 y3 y3 NOUN issue-469 51 19 > > X issue-469 51 20 y2 y2 PROPN issue-469 51 21 > > X issue-469 51 22 y1 y1 PROPN issue-469 51 23 ; ; PUNCT issue-469 51 24 c2 c2 PROPN issue-469 51 25 > > X issue-469 51 26 c1 c1 PROPN issue-469 51 27 ) ) PUNCT issue-469 51 28 source source NOUN issue-469 51 29 : : PUNCT issue-469 51 30 built build VERB issue-469 51 31 by by ADP issue-469 51 32 the the DET issue-469 51 33 authors author NOUN issue-469 51 34 baltic baltic PROPN issue-469 51 35 journal journal PROPN issue-469 51 36 of of ADP issue-469 51 37 economic economic ADJ issue-469 51 38 studies study NOUN issue-469 51 39 374 374 NUM issue-469 51 40 vol vol NOUN issue-469 51 41 . . PROPN issue-469 52 1 4 4 NUM issue-469 52 2 , , PUNCT issue-469 52 3 no no INTJ issue-469 52 4 . . NOUN issue-469 52 5 3 3 NUM issue-469 52 6 , , PUNCT issue-469 52 7 2018 2018 NUM issue-469 52 8 a a DET issue-469 52 9 combination combination NOUN issue-469 52 10 of of ADP issue-469 52 11 production production NOUN issue-469 52 12 factors factor NOUN issue-469 52 13 minimizing minimize VERB issue-469 52 14 costs cost NOUN issue-469 52 15 is be AUX issue-469 52 16 the the DET issue-469 52 17 point point NOUN issue-469 52 18 of of ADP issue-469 52 19 contact contact NOUN issue-469 52 20 of of ADP issue-469 52 21 isoquant isoquant NOUN issue-469 52 22 to to ADP issue-469 52 23 the the DET issue-469 52 24 lowest low ADJ issue-469 52 25 possible possible ADJ issue-469 52 26 isocost isocost NOUN issue-469 52 27 . . PUNCT issue-469 53 1 thus thus ADV issue-469 53 2 , , PUNCT issue-469 53 3 in in ADP issue-469 53 4 figure figure NOUN issue-469 53 5 1 1 NUM issue-469 53 6 at at ADP issue-469 53 7 point point NOUN issue-469 53 8 b b NOUN issue-469 53 9 with with ADP issue-469 53 10 the the DET issue-469 53 11 coordinates coordinate NOUN issue-469 53 12 k1 k1 PROPN issue-469 53 13 , , PUNCT issue-469 53 14 l1 l1 PROPN issue-469 53 15 , , PUNCT issue-469 53 16 there there PRON issue-469 53 17 is be VERB issue-469 53 18 an an DET issue-469 53 19 optimal optimal ADJ issue-469 53 20 capital capital NOUN issue-469 53 21 - - PUNCT issue-469 53 22 labour labour NOUN issue-469 53 23 ratio ratio NOUN issue-469 53 24 of of ADP issue-469 53 25 the the DET issue-469 53 26 enterprise enterprise NOUN issue-469 53 27 , , PUNCT issue-469 53 28 which which PRON issue-469 53 29 ensures ensure VERB issue-469 53 30 the the DET issue-469 53 31 maximization maximization NOUN issue-469 53 32 of of ADP issue-469 53 33 output output NOUN issue-469 53 34 at at ADP issue-469 53 35 given give VERB issue-469 53 36 total total ADJ issue-469 53 37 costs cost NOUN issue-469 53 38 ( ( PUNCT issue-469 53 39 minimization minimization NOUN issue-469 53 40 of of ADP issue-469 53 41 the the DET issue-469 53 42 total total ADJ issue-469 53 43 costs cost NOUN issue-469 53 44 for for ADP issue-469 53 45 the the DET issue-469 53 46 given give VERB issue-469 53 47 production production NOUN issue-469 53 48 output output NOUN issue-469 53 49 ) ) PUNCT issue-469 53 50 . . PUNCT issue-469 54 1 5 5 X issue-469 54 2 . . X issue-469 54 3 the the DET issue-469 54 4 microeconomic microeconomic ADJ issue-469 54 5 principle principle NOUN issue-469 54 6 of of ADP issue-469 54 7 equal equal ADJ issue-469 54 8 margin margin NOUN issue-469 54 9 we we PRON issue-469 54 10 propose propose VERB issue-469 54 11 a a DET issue-469 54 12 fairly fairly ADV issue-469 54 13 simple simple ADJ issue-469 54 14 possibility possibility NOUN issue-469 54 15 of of ADP issue-469 54 16 econometricmathematical econometricmathematical ADJ issue-469 54 17 determination determination NOUN issue-469 54 18 of of ADP issue-469 54 19 optimal optimal ADJ issue-469 54 20 capital capital NOUN issue-469 54 21 - - PUNCT issue-469 54 22 labour labour NOUN issue-469 54 23 ratio ratio NOUN issue-469 54 24 k1 k1 PROPN issue-469 54 25 / / SYM issue-469 54 26 l1 l1 PROPN issue-469 54 27 within within ADP issue-469 54 28 two two NUM issue-469 54 29 - - PUNCT issue-469 54 30 factor factor NOUN issue-469 54 31 pfs pfs NOUN issue-469 54 32 based base VERB issue-469 54 33 on on ADP issue-469 54 34 the the DET issue-469 54 35 principle principle NOUN issue-469 54 36 of of ADP issue-469 54 37 equal equal ADJ issue-469 54 38 margin margin NOUN issue-469 54 39 , , PUNCT issue-469 54 40 which which PRON issue-469 54 41 is be AUX issue-469 54 42 known know VERB issue-469 54 43 in in ADP issue-469 54 44 the the DET issue-469 54 45 microeconomics microeconomics NOUN issue-469 54 46 . . PUNCT issue-469 55 1 let let VERB issue-469 55 2 us we PRON issue-469 55 3 briefly briefly ADV issue-469 55 4 consider consider VERB issue-469 55 5 its its PRON issue-469 55 6 essence essence NOUN issue-469 55 7 . . PUNCT issue-469 56 1 let let VERB issue-469 56 2 the the DET issue-469 56 3 production production NOUN issue-469 56 4 resources resource NOUN issue-469 56 5 be be VERB issue-469 56 6 to to ADP issue-469 56 7 some some DET issue-469 56 8 extent extent NOUN issue-469 56 9 interchangeable interchangeable ADJ issue-469 56 10 , , PUNCT issue-469 56 11 which which PRON issue-469 56 12 means mean VERB issue-469 56 13 that that SCONJ issue-469 56 14 a a DET issue-469 56 15 certain certain ADJ issue-469 56 16 volume volume NOUN issue-469 56 17 of of ADP issue-469 56 18 one one NUM issue-469 56 19 production production NOUN issue-469 56 20 factor factor NOUN issue-469 56 21 can can AUX issue-469 56 22 be be AUX issue-469 56 23 compensated compensate VERB issue-469 56 24 by by ADP issue-469 56 25 the the DET issue-469 56 26 corresponding corresponding ADJ issue-469 56 27 volume volume NOUN issue-469 56 28 of of ADP issue-469 56 29 another another PRON issue-469 56 30 . . PUNCT issue-469 57 1 this this DET issue-469 57 2 property property NOUN issue-469 57 3 is be AUX issue-469 57 4 called call VERB issue-469 57 5 the the DET issue-469 57 6 hypothesis hypothesis NOUN issue-469 57 7 of of ADP issue-469 57 8 the the DET issue-469 57 9 interchangeability interchangeability NOUN issue-469 57 10 of of ADP issue-469 57 11 factors factor NOUN issue-469 57 12 , , PUNCT issue-469 57 13 or or CCONJ issue-469 57 14 the the DET issue-469 57 15 assumption assumption NOUN issue-469 57 16 of of ADP issue-469 57 17 their their PRON issue-469 57 18 non non ADJ issue-469 57 19 - - ADJ issue-469 57 20 zero zero NUM issue-469 57 21 substitution substitution NOUN issue-469 57 22 . . PUNCT issue-469 58 1 in in ADP issue-469 58 2 other other ADJ issue-469 58 3 words word NOUN issue-469 58 4 , , PUNCT issue-469 58 5 for for ADP issue-469 58 6 the the DET issue-469 58 7 two two NUM issue-469 58 8 - - PUNCT issue-469 58 9 factor factor NOUN issue-469 58 10 pf pf NOUN issue-469 58 11 y y PROPN issue-469 58 12 = = SYM issue-469 58 13 f f PROPN issue-469 58 14 ( ( PUNCT issue-469 58 15 k k X issue-469 58 16 , , PUNCT issue-469 58 17 l l NOUN issue-469 58 18 ) ) PUNCT issue-469 58 19 is be AUX issue-469 58 20 performed perform VERB issue-469 58 21 equality equality NOUN issue-469 58 22 f f PROPN issue-469 58 23 ( ( PUNCT issue-469 58 24 k k PROPN issue-469 58 25 + + CCONJ issue-469 58 26 ∆k ∆k PROPN issue-469 58 27 , , PUNCT issue-469 58 28 l l NOUN issue-469 58 29 ) ) PUNCT issue-469 59 1 = = SYM issue-469 59 2 f f X issue-469 59 3 ( ( PUNCT issue-469 59 4 k k NOUN issue-469 59 5 , , PUNCT issue-469 59 6 l l PROPN issue-469 59 7 + + CCONJ issue-469 59 8 ∆l ∆l PROPN issue-469 59 9 ) ) PUNCT issue-469 59 10 ≠ ≠ PROPN issue-469 59 11 0 0 NUM issue-469 59 12 . . PUNCT issue-469 60 1 ( ( PUNCT issue-469 60 2 1 1 X issue-469 60 3 ) ) PUNCT issue-469 60 4 mathematically mathematically ADV issue-469 60 5 , , PUNCT issue-469 60 6 this this PRON issue-469 60 7 means mean VERB issue-469 60 8 that that SCONJ issue-469 60 9 the the DET issue-469 60 10 marginal marginal ADJ issue-469 60 11 products product NOUN issue-469 60 12 of of ADP issue-469 60 13 capital capital NOUN issue-469 60 14 mpk mpk NOUN issue-469 60 15 and and CCONJ issue-469 60 16 labour labour PROPN issue-469 60 17 mpl mpl NOUN issue-469 60 18 within within ADP issue-469 60 19 this this DET issue-469 60 20 pf pf NOUN issue-469 60 21 are be AUX issue-469 60 22 different different ADJ issue-469 60 23 from from ADP issue-469 60 24 zero zero NUM issue-469 60 25 , , PUNCT issue-469 60 26 and and CCONJ issue-469 60 27 the the DET issue-469 60 28 marginal marginal ADJ issue-469 60 29 rate rate NOUN issue-469 60 30 of of ADP issue-469 60 31 replacement replacement NOUN issue-469 60 32 of of ADP issue-469 60 33 production production NOUN issue-469 60 34 factors factor NOUN issue-469 60 35 of of ADP issue-469 60 36 mrslk mrslk NOUN issue-469 60 37 exists exist VERB issue-469 60 38 in in ADP issue-469 60 39 the the DET issue-469 60 40 form form NOUN issue-469 60 41 of of ADP issue-469 60 42 a a DET issue-469 60 43 certain certain ADJ issue-469 60 44 real real ADJ issue-469 60 45 number number NOUN issue-469 60 46 . . PUNCT issue-469 61 1 from from ADP issue-469 61 2 the the DET issue-469 61 3 course course NOUN issue-469 61 4 of of ADP issue-469 61 5 geometry geometry NOUN issue-469 61 6 , , PUNCT issue-469 61 7 it it PRON issue-469 61 8 is be AUX issue-469 61 9 known know VERB issue-469 61 10 , , PUNCT issue-469 61 11 that that SCONJ issue-469 61 12 if if SCONJ issue-469 61 13 the the DET issue-469 61 14 line line NOUN issue-469 61 15 is be AUX issue-469 61 16 tangent tangent ADJ issue-469 61 17 to to ADP issue-469 61 18 some some DET issue-469 61 19 curve curve NOUN issue-469 61 20 , , PUNCT issue-469 61 21 then then ADV issue-469 61 22 at at ADP issue-469 61 23 the the DET issue-469 61 24 point point NOUN issue-469 61 25 of of ADP issue-469 61 26 contact contact NOUN issue-469 61 27 the the DET issue-469 61 28 angles angle NOUN issue-469 61 29 of of ADP issue-469 61 30 inclination inclination NOUN issue-469 61 31 of of ADP issue-469 61 32 these these DET issue-469 61 33 lines line NOUN issue-469 61 34 coincide coincide NOUN issue-469 61 35 . . PUNCT issue-469 62 1 the the DET issue-469 62 2 inclination inclination NOUN issue-469 62 3 of of ADP issue-469 62 4 the the DET issue-469 62 5 isoquant isoquant NOUN issue-469 62 6 is be AUX issue-469 62 7 the the DET issue-469 62 8 marginal marginal ADJ issue-469 62 9 rate rate NOUN issue-469 62 10 of of ADP issue-469 62 11 replacement replacement NOUN issue-469 62 12 of of ADP issue-469 62 13 production production NOUN issue-469 62 14 factors factor NOUN issue-469 62 15 mrskl mrskl NOUN issue-469 62 16 , , PUNCT issue-469 62 17 which which PRON issue-469 62 18 depends depend VERB issue-469 62 19 on on ADP issue-469 62 20 the the DET issue-469 62 21 specifics specific NOUN issue-469 62 22 of of ADP issue-469 62 23 the the DET issue-469 62 24 production production NOUN issue-469 62 25 process process NOUN issue-469 62 26 at at ADP issue-469 62 27 the the DET issue-469 62 28 enterprise enterprise NOUN issue-469 62 29 . . PUNCT issue-469 63 1 it it PRON issue-469 63 2 is be AUX issue-469 63 3 determined determine VERB issue-469 63 4 by by ADP issue-469 63 5 the the DET issue-469 63 6 ratio ratio NOUN issue-469 63 7 of of ADP issue-469 63 8 the the DET issue-469 63 9 marginal marginal ADJ issue-469 63 10 products product NOUN issue-469 63 11 of of ADP issue-469 63 12 capital capital NOUN issue-469 63 13 mpk mpk NOUN issue-469 63 14 and and CCONJ issue-469 63 15 labour labour PROPN issue-469 63 16 mpl mpl NOUN issue-469 63 17 : : PUNCT issue-469 63 18 − − PROPN issue-469 64 1 = = SYM issue-469 64 2 = = SYM issue-469 65 1 − − PROPN issue-469 65 2 ∆ ∆ PROPN issue-469 65 3 ∆ ∆ PROPN issue-469 65 4 ê ê PROPN issue-469 65 5 l l NOUN issue-469 65 6 mrs mrs PROPN issue-469 65 7 ìð ìð PROPN issue-469 65 8 ìðlê ìðlê NOUN issue-469 65 9 k k PROPN issue-469 65 10 l l PROPN issue-469 65 11 . . PUNCT issue-469 66 1 ( ( PUNCT issue-469 66 2 2 2 X issue-469 66 3 ) ) PUNCT issue-469 66 4 the the DET issue-469 66 5 minus minus ADJ issue-469 66 6 sign sign NOUN issue-469 66 7 in in ADP issue-469 66 8 formula formula NOUN issue-469 66 9 ( ( PUNCT issue-469 66 10 2 2 NUM issue-469 66 11 ) ) PUNCT issue-469 66 12 indicates indicate VERB issue-469 66 13 that that SCONJ issue-469 66 14 one one NUM issue-469 66 15 production production NOUN issue-469 66 16 factor factor NOUN issue-469 66 17 increases increase NOUN issue-469 66 18 , , PUNCT issue-469 66 19 while while SCONJ issue-469 66 20 another another DET issue-469 66 21 decreases decrease VERB issue-469 66 22 with with ADP issue-469 66 23 a a DET issue-469 66 24 fixed fix VERB issue-469 66 25 volume volume NOUN issue-469 66 26 of of ADP issue-469 66 27 output output NOUN issue-469 66 28 . . PUNCT issue-469 67 1 the the DET issue-469 67 2 inclination inclination NOUN issue-469 67 3 of of ADP issue-469 67 4 isocost isocost NOUN issue-469 67 5 is be AUX issue-469 67 6 a a DET issue-469 67 7 market market NOUN issue-469 67 8 rate rate NOUN issue-469 67 9 of of ADP issue-469 67 10 replacement replacement NOUN issue-469 67 11 of of ADP issue-469 67 12 production production NOUN issue-469 67 13 factors factor NOUN issue-469 67 14 , , PUNCT issue-469 67 15 equal equal ADJ issue-469 67 16 to to ADP issue-469 67 17 the the DET issue-469 67 18 ratio ratio NOUN issue-469 67 19 of of ADP issue-469 67 20 their their PRON issue-469 67 21 prices price NOUN issue-469 67 22 pk pk NOUN issue-469 67 23 , , PUNCT issue-469 67 24 pl pl NOUN issue-469 67 25 : : PUNCT issue-469 67 26 − − PROPN issue-469 67 27 = = SYM issue-469 67 28 = = SYM issue-469 68 1 − − PROPN issue-469 68 2 ∆ ∆ PROPN issue-469 68 3 ∆ ∆ X issue-469 68 4 ê ê NOUN issue-469 68 5 l l NOUN issue-469 69 1 tg tg PROPN issue-469 70 1 p p X issue-469 70 2 p p X issue-469 70 3 kφ kφ PROPN issue-469 70 4 l l NOUN issue-469 70 5 , , PUNCT issue-469 70 6 ( ( PUNCT issue-469 70 7 3 3 X issue-469 70 8 ) ) PUNCT issue-469 70 9 where where SCONJ issue-469 70 10 φ φ PROPN issue-469 70 11 is be AUX issue-469 70 12 the the DET issue-469 70 13 angle angle NOUN issue-469 70 14 of of ADP issue-469 70 15 inclination inclination NOUN issue-469 70 16 of of ADP issue-469 70 17 the the DET issue-469 70 18 isocost isocost NOUN issue-469 70 19 to to ADP issue-469 70 20 the the DET issue-469 70 21 abscissa abscissa ADJ issue-469 70 22 0l 0l NUM issue-469 70 23 in in ADP issue-469 70 24 fig fig NOUN issue-469 70 25 . . PUNCT issue-469 71 1 1 1 NUM issue-469 71 2 it it PRON issue-469 71 3 is be AUX issue-469 71 4 clear clear ADJ issue-469 71 5 that that SCONJ issue-469 71 6 at at ADP issue-469 71 7 the the DET issue-469 71 8 point point NOUN issue-469 71 9 of of ADP issue-469 71 10 the the DET issue-469 71 11 optimal optimal ADJ issue-469 71 12 combination combination NOUN issue-469 71 13 of of ADP issue-469 71 14 production production NOUN issue-469 71 15 factors factor NOUN issue-469 71 16 , , PUNCT issue-469 71 17 the the DET issue-469 71 18 inclination inclination NOUN issue-469 71 19 of of ADP issue-469 71 20 isoquant isoquant ADJ issue-469 71 21 and and CCONJ issue-469 71 22 isocost isocost ADJ issue-469 71 23 coincide coincide NOUN issue-469 71 24 , , PUNCT issue-469 71 25 that that ADV issue-469 71 26 is is ADV issue-469 71 27 , , PUNCT issue-469 71 28 the the DET issue-469 71 29 equality equality NOUN issue-469 71 30 is be AUX issue-469 71 31 fulfilled fulfil VERB issue-469 71 32 mrs mrs PROPN issue-469 71 33 p p PROPN issue-469 71 34 plê plê NOUN issue-469 71 35 k= k= CCONJ issue-469 72 1 − − PROPN issue-469 72 2 l l NOUN issue-469 72 3 . . PUNCT issue-469 73 1 ( ( PUNCT issue-469 73 2 4 4 X issue-469 73 3 ) ) PUNCT issue-469 73 4 hence hence ADV issue-469 73 5 , , PUNCT issue-469 73 6 two two NUM issue-469 73 7 equivalent equivalent ADJ issue-469 73 8 conditions condition NOUN issue-469 73 9 characterizing characterize VERB issue-469 73 10 the the DET issue-469 73 11 optimum optimum NOUN issue-469 73 12 of of ADP issue-469 73 13 the the DET issue-469 73 14 enterprise enterprise NOUN issue-469 73 15 as as ADP issue-469 73 16 a a DET issue-469 73 17 commodity commodity NOUN issue-469 73 18 producer producer NOUN issue-469 73 19 are be AUX issue-469 73 20 deduced deduce VERB issue-469 73 21 in in ADP issue-469 73 22 the the DET issue-469 73 23 microeconomics microeconomic NOUN issue-469 73 24 . . PUNCT issue-469 74 1 condition condition NOUN issue-469 74 2 1 1 NUM issue-469 74 3 . . PUNCT issue-469 75 1 the the DET issue-469 75 2 ratio ratio NOUN issue-469 75 3 of of ADP issue-469 75 4 marginal marginal ADJ issue-469 75 5 products product NOUN issue-469 75 6 of of ADP issue-469 75 7 production production NOUN issue-469 75 8 factors factor NOUN issue-469 75 9 is be AUX issue-469 75 10 equal equal ADJ issue-469 75 11 to to ADP issue-469 75 12 the the DET issue-469 75 13 ratio ratio NOUN issue-469 75 14 of of ADP issue-469 75 15 their their PRON issue-469 75 16 prices price NOUN issue-469 75 17 : : PUNCT issue-469 75 18 mp mp PROPN issue-469 75 19 mp mp PROPN issue-469 75 20 p p PROPN issue-469 75 21 p p PROPN issue-469 75 22 ê ê PROPN issue-469 75 23 l l NOUN issue-469 75 24 ê= ê= NOUN issue-469 75 25 l l NOUN issue-469 75 26 . . PUNCT issue-469 76 1 ( ( PUNCT issue-469 76 2 5 5 X issue-469 76 3 ) ) PUNCT issue-469 76 4 condition condition NOUN issue-469 76 5 2 2 NUM issue-469 76 6 . . PUNCT issue-469 76 7 marginal marginal ADJ issue-469 76 8 products product NOUN issue-469 76 9 of of ADP issue-469 76 10 production production NOUN issue-469 76 11 factors factor NOUN issue-469 76 12 belong belong VERB issue-469 76 13 to to ADP issue-469 76 14 1 1 NUM issue-469 76 15 monetary monetary ADJ issue-469 76 16 unit unit NOUN issue-469 76 17 must must AUX issue-469 76 18 be be AUX issue-469 76 19 the the DET issue-469 76 20 same same ADJ issue-469 76 21 : : PUNCT issue-469 76 22 mp mp PROPN issue-469 76 23 p p PROPN issue-469 76 24 mp mp PROPN issue-469 76 25 p p PROPN issue-469 76 26 k k PROPN issue-469 76 27 k k PROPN issue-469 76 28 l= l= PROPN issue-469 76 29 l l NOUN issue-469 76 30 . . PUNCT issue-469 77 1 ( ( PUNCT issue-469 77 2 6 6 NUM issue-469 77 3 ) ) PUNCT issue-469 77 4 the the DET issue-469 77 5 second second ADJ issue-469 77 6 condition condition NOUN issue-469 77 7 is be AUX issue-469 77 8 often often ADV issue-469 77 9 called call VERB issue-469 77 10 the the DET issue-469 77 11 l l NOUN issue-469 77 12 principle principle NOUN issue-469 77 13 of of ADP issue-469 77 14 equal equal ADJ issue-469 77 15 margin margin NOUN issue-469 77 16 , , PUNCT issue-469 77 17 which which PRON issue-469 77 18 implies imply VERB issue-469 77 19 that that SCONJ issue-469 77 20 the the DET issue-469 77 21 price price NOUN issue-469 77 22 - - PUNCT issue-469 77 23 weighted weight VERB issue-469 77 24 products product NOUN issue-469 77 25 of of ADP issue-469 77 26 the the DET issue-469 77 27 factors factor NOUN issue-469 77 28 of of ADP issue-469 77 29 production production NOUN issue-469 77 30 must must AUX issue-469 77 31 be be AUX issue-469 77 32 aligned align VERB issue-469 77 33 . . PUNCT issue-469 78 1 realizing realize VERB issue-469 78 2 these these DET issue-469 78 3 conditions condition NOUN issue-469 78 4 , , PUNCT issue-469 78 5 an an DET issue-469 78 6 enterprise enterprise NOUN issue-469 78 7 achieves achieve VERB issue-469 78 8 the the DET issue-469 78 9 condition condition NOUN issue-469 78 10 of of ADP issue-469 78 11 inner inner ADJ issue-469 78 12 balance balance NOUN issue-469 78 13 , , PUNCT issue-469 78 14 that that ADV issue-469 78 15 is is ADV issue-469 78 16 , , PUNCT issue-469 78 17 the the DET issue-469 78 18 best good ADJ issue-469 78 19 combination combination NOUN issue-469 78 20 of of ADP issue-469 78 21 resources resource NOUN issue-469 78 22 . . PUNCT issue-469 79 1 obviously obviously ADV issue-469 79 2 , , PUNCT issue-469 79 3 in in ADP issue-469 79 4 the the DET issue-469 79 5 case case NOUN issue-469 79 6 of of ADP issue-469 79 7 measuring measure VERB issue-469 79 8 all all DET issue-469 79 9 variables variable NOUN issue-469 79 10 y y PROPN issue-469 79 11 , , PUNCT issue-469 79 12 k k PROPN issue-469 79 13 , , PUNCT issue-469 79 14 l l NOUN issue-469 79 15 in in ADP issue-469 79 16 monetary monetary ADJ issue-469 79 17 units unit NOUN issue-469 79 18 , , PUNCT issue-469 79 19 the the DET issue-469 79 20 marginal marginal ADJ issue-469 79 21 products product NOUN issue-469 79 22 of of ADP issue-469 79 23 production production NOUN issue-469 79 24 factors factor NOUN issue-469 79 25 are be AUX issue-469 79 26 also also ADV issue-469 79 27 in in ADP issue-469 79 28 value value NOUN issue-469 79 29 terms term NOUN issue-469 79 30 . . PUNCT issue-469 80 1 therefore therefore ADV issue-469 80 2 , , PUNCT issue-469 80 3 formula formula NOUN issue-469 80 4 ( ( PUNCT issue-469 80 5 6 6 NUM issue-469 80 6 ) ) PUNCT issue-469 80 7 can can AUX issue-469 80 8 be be AUX issue-469 80 9 represented represent VERB issue-469 80 10 as as SCONJ issue-469 80 11 follows follow VERB issue-469 80 12 : : PUNCT issue-469 80 13 мр мр NOUN issue-469 80 14 δ δ X issue-469 80 15 k k X issue-469 81 1 = = X issue-469 81 2 мр мр X issue-469 81 3 δ δ PROPN issue-469 81 4 l l PROPN issue-469 81 5 , , PUNCT issue-469 81 6 ( ( PUNCT issue-469 81 7 7 7 X issue-469 81 8 ) ) PUNCT issue-469 81 9 where where SCONJ issue-469 81 10 мр мр NOUN issue-469 81 11 * * PUNCT issue-469 81 12 k k NOUN issue-469 81 13 , , PUNCT issue-469 81 14 мр мр PRON issue-469 81 15 * * PUNCT issue-469 81 16 l l NOUN issue-469 81 17 are be AUX issue-469 81 18 marginal marginal ADJ issue-469 81 19 products product NOUN issue-469 81 20 of of ADP issue-469 81 21 capital capital NOUN issue-469 81 22 and and CCONJ issue-469 81 23 labour labour NOUN issue-469 81 24 , , PUNCT issue-469 81 25 expressed express VERB issue-469 81 26 in in ADP issue-469 81 27 terms term NOUN issue-469 81 28 of of ADP issue-469 81 29 their their PRON issue-469 81 30 value value NOUN issue-469 81 31 in in ADP issue-469 81 32 a a DET issue-469 81 33 natural natural ADJ issue-469 81 34 dimension dimension NOUN issue-469 81 35 . . PUNCT issue-469 82 1 consequently consequently ADV issue-469 82 2 , , PUNCT issue-469 82 3 the the DET issue-469 82 4 essence essence NOUN issue-469 82 5 of of ADP issue-469 82 6 the the DET issue-469 82 7 principle principle NOUN issue-469 82 8 of of ADP issue-469 82 9 equal equal ADJ issue-469 82 10 margin margin NOUN issue-469 82 11 is be AUX issue-469 82 12 the the DET issue-469 82 13 equality equality NOUN issue-469 82 14 of of ADP issue-469 82 15 the the DET issue-469 82 16 marginal marginal ADJ issue-469 82 17 products product NOUN issue-469 82 18 of of ADP issue-469 82 19 production production NOUN issue-469 82 20 factors factor NOUN issue-469 82 21 in in ADP issue-469 82 22 conditions condition NOUN issue-469 82 23 of of ADP issue-469 82 24 thre thre NOUN issue-469 82 25 optimal optimal ADJ issue-469 82 26 capitallabour capitallabour NOUN issue-469 82 27 ratio ratio NOUN issue-469 82 28 of of ADP issue-469 82 29 the the DET issue-469 82 30 enterprise enterprise NOUN issue-469 82 31 . . PUNCT issue-469 83 1 for for ADP issue-469 83 2 example example NOUN issue-469 83 3 , , PUNCT issue-469 83 4 if if SCONJ issue-469 83 5 pk pk NOUN issue-469 83 6 is be AUX issue-469 83 7 the the DET issue-469 83 8 price price NOUN issue-469 83 9 of of ADP issue-469 83 10 one one NUM issue-469 83 11 machine machine NOUN issue-469 83 12 - - PUNCT issue-469 83 13 hour hour NOUN issue-469 83 14 of of ADP issue-469 83 15 the the DET issue-469 83 16 work work NOUN issue-469 83 17 of of ADP issue-469 83 18 the the DET issue-469 83 19 technological technological ADJ issue-469 83 20 equipment equipment NOUN issue-469 83 21 in in ADP issue-469 83 22 uah uah NOUN issue-469 83 23 and and CCONJ issue-469 83 24 pl pl PROPN issue-469 83 25 is be AUX issue-469 83 26 the the DET issue-469 83 27 tariff tariff NOUN issue-469 83 28 of of ADP issue-469 83 29 one one NUM issue-469 83 30 man man NOUN issue-469 83 31 - - PUNCT issue-469 83 32 hour hour NOUN issue-469 83 33 of of ADP issue-469 83 34 labour labour NOUN issue-469 83 35 in in ADP issue-469 83 36 uah uah PROPN issue-469 83 37 , , PUNCT issue-469 83 38 then then ADV issue-469 83 39 for for ADP issue-469 83 40 the the DET issue-469 83 41 enterprise enterprise NOUN issue-469 83 42 at at ADP issue-469 83 43 point point NOUN issue-469 83 44 b b PROPN issue-469 83 45 in in ADP issue-469 83 46 fig fig NOUN issue-469 83 47 . . PUNCT issue-469 84 1 1 1 NUM issue-469 85 1 the the DET issue-469 85 2 following follow VERB issue-469 85 3 interrelation interrelation NOUN issue-469 85 4 is be AUX issue-469 85 5 performed perform VERB issue-469 85 6 . . PUNCT issue-469 86 1 the the DET issue-469 86 2 marginal marginal ADJ issue-469 86 3 product product NOUN issue-469 86 4 of of ADP issue-469 86 5 assets asset NOUN issue-469 86 6 , , PUNCT issue-469 86 7 expressed express VERB issue-469 86 8 in in ADP issue-469 86 9 terms term NOUN issue-469 86 10 of of ADP issue-469 86 11 machine machine NOUN issue-469 86 12 - - PUNCT issue-469 86 13 hours hour NOUN issue-469 86 14 of of ADP issue-469 86 15 operation operation NOUN issue-469 86 16 of of ADP issue-469 86 17 technological technological ADJ issue-469 86 18 equipment equipment NOUN issue-469 86 19 , , PUNCT issue-469 86 20 is be AUX issue-469 86 21 equal equal ADJ issue-469 86 22 to to ADP issue-469 86 23 the the DET issue-469 86 24 marginal marginal ADJ issue-469 86 25 product product NOUN issue-469 86 26 of of ADP issue-469 86 27 labour labour NOUN issue-469 86 28 , , PUNCT issue-469 86 29 expressed express VERB issue-469 86 30 in in ADP issue-469 86 31 terms term NOUN issue-469 86 32 of of ADP issue-469 86 33 man man NOUN issue-469 86 34 - - PUNCT issue-469 86 35 hours hour NOUN issue-469 86 36 of of ADP issue-469 86 37 work work NOUN issue-469 86 38 of of ADP issue-469 86 39 production production NOUN issue-469 86 40 personnel personnel NOUN issue-469 86 41 . . PUNCT issue-469 87 1 6 6 X issue-469 87 2 . . PUNCT issue-469 87 3 the the DET issue-469 87 4 mathematical mathematical ADJ issue-469 87 5 derivation derivation NOUN issue-469 87 6 of of ADP issue-469 87 7 formulas formula NOUN issue-469 87 8 for for ADP issue-469 87 9 the the DET issue-469 87 10 optimal optimal ADJ issue-469 87 11 capital capital NOUN issue-469 87 12 - - PUNCT issue-469 87 13 labour labour NOUN issue-469 87 14 ratio ratio NOUN issue-469 87 15 for for ADP issue-469 87 16 pfs pfs PROPN issue-469 87 17 , , PUNCT issue-469 87 18 generalized generalize VERB issue-469 87 19 by by ADP issue-469 87 20 ces ce NOUN issue-469 87 21 - - NOUN issue-469 87 22 function function NOUN issue-469 87 23 from from ADP issue-469 87 24 formula formula NOUN issue-469 87 25 ( ( PUNCT issue-469 87 26 7 7 X issue-469 87 27 ) ) PUNCT issue-469 87 28 it it PRON issue-469 87 29 follows follow VERB issue-469 87 30 that that SCONJ issue-469 87 31 at at ADP issue-469 87 32 the the DET issue-469 87 33 point point NOUN issue-469 87 34 of of ADP issue-469 87 35 the the DET issue-469 87 36 optimal optimal ADJ issue-469 87 37 capital capital NOUN issue-469 87 38 - - PUNCT issue-469 87 39 labour labour NOUN issue-469 87 40 ratio ratio NOUN issue-469 87 41 at at ADP issue-469 87 42 the the DET issue-469 87 43 enterprise enterprise NOUN issue-469 87 44 the the DET issue-469 87 45 marginal marginal ADJ issue-469 87 46 rate rate NOUN issue-469 87 47 of of ADP issue-469 87 48 replacement replacement NOUN issue-469 87 49 of of ADP issue-469 87 50 production production NOUN issue-469 87 51 factors factor NOUN issue-469 87 52 becomes become VERB issue-469 87 53 the the DET issue-469 87 54 form form NOUN issue-469 88 1 mrs mrs PROPN issue-469 88 2 ìð ìð PROPN issue-469 88 3 ìðlê ìðlê PROPN issue-469 88 4 k= k= PROPN issue-469 88 5 ∗ ∗ NOUN issue-469 88 6 ∗ ∗ NOUN issue-469 88 7 = = SYM issue-469 88 8 l l NOUN issue-469 88 9 1 1 NUM issue-469 88 10 , , PUNCT issue-469 88 11 ( ( PUNCT issue-469 88 12 8) 8) NUM issue-469 88 13 that that PRON issue-469 88 14 is be AUX issue-469 88 15 equal equal ADJ issue-469 88 16 to to ADP issue-469 88 17 one one NUM issue-469 88 18 . . PUNCT issue-469 89 1 it it PRON issue-469 89 2 is be AUX issue-469 89 3 easy easy ADJ issue-469 89 4 to to PART issue-469 89 5 prove prove VERB issue-469 89 6 the the DET issue-469 89 7 validity validity NOUN issue-469 89 8 and and CCONJ issue-469 89 9 the the DET issue-469 89 10 inverse inverse NOUN issue-469 89 11 statement statement NOUN issue-469 89 12 . . PUNCT issue-469 90 1 if if SCONJ issue-469 90 2 the the DET issue-469 90 3 condition condition NOUN issue-469 90 4 ( ( PUNCT issue-469 90 5 8) 8) NUM issue-469 90 6 is be AUX issue-469 90 7 fulfilled fulfil VERB issue-469 90 8 for for ADP issue-469 90 9 the the DET issue-469 90 10 marginal marginal ADJ issue-469 90 11 norm norm NOUN issue-469 90 12 of of ADP issue-469 90 13 substitution substitution NOUN issue-469 90 14 of of ADP issue-469 90 15 production production NOUN issue-469 90 16 factors factor NOUN issue-469 90 17 , , PUNCT issue-469 90 18 then then ADV issue-469 90 19 the the DET issue-469 90 20 enterprise enterprise NOUN issue-469 90 21 as as ADP issue-469 90 22 a a DET issue-469 90 23 commodity commodity NOUN issue-469 90 24 producer producer NOUN issue-469 90 25 is be AUX issue-469 90 26 at at ADP issue-469 90 27 the the DET issue-469 90 28 point point NOUN issue-469 90 29 of of ADP issue-469 90 30 optimal optimal ADJ issue-469 90 31 capital capital NOUN issue-469 90 32 - - PUNCT issue-469 90 33 labour labour NOUN issue-469 90 34 ratio ratio NOUN issue-469 90 35 . . PUNCT issue-469 91 1 taking take VERB issue-469 91 2 into into ADP issue-469 91 3 account account NOUN issue-469 91 4 the the DET issue-469 91 5 obtained obtain VERB issue-469 91 6 theoretical theoretical ADJ issue-469 91 7 results result NOUN issue-469 91 8 , , PUNCT issue-469 91 9 we we PRON issue-469 91 10 come come VERB issue-469 91 11 to to ADP issue-469 91 12 the the DET issue-469 91 13 following follow VERB issue-469 91 14 conclusion conclusion NOUN issue-469 91 15 . . PUNCT issue-469 92 1 it it PRON issue-469 92 2 is be AUX issue-469 92 3 enough enough ADJ issue-469 92 4 to to PART issue-469 92 5 find find VERB issue-469 92 6 the the DET issue-469 92 7 expression expression NOUN issue-469 92 8 of of ADP issue-469 92 9 margin margin NOUN issue-469 92 10 norm norm NOUN issue-469 92 11 of of ADP issue-469 92 12 substitution substitution NOUN issue-469 92 13 of of ADP issue-469 92 14 resources resource NOUN issue-469 92 15 and and CCONJ issue-469 92 16 equate equate VERB issue-469 92 17 it it PRON issue-469 92 18 to to ADP issue-469 92 19 one one NUM issue-469 92 20 for for ADP issue-469 92 21 any any DET issue-469 92 22 two two NUM issue-469 92 23 - - PUNCT issue-469 92 24 factor factor NOUN issue-469 92 25 baltic baltic ADJ issue-469 92 26 journal journal PROPN issue-469 92 27 of of ADP issue-469 92 28 economic economic ADJ issue-469 92 29 studies study NOUN issue-469 92 30 375 375 NUM issue-469 92 31 vol vol NOUN issue-469 92 32 . . PUNCT issue-469 93 1 4 4 NUM issue-469 93 2 , , PUNCT issue-469 93 3 no no INTJ issue-469 93 4 . . NOUN issue-469 93 5 3 3 NUM issue-469 93 6 , , PUNCT issue-469 93 7 2018 2018 NUM issue-469 93 8 production production NOUN issue-469 93 9 function function NOUN issue-469 93 10 with with ADP issue-469 93 11 the the DET issue-469 93 12 non non ADJ issue-469 93 13 - - ADJ issue-469 93 14 zero zero NUM issue-469 93 15 substitution substitution NOUN issue-469 93 16 of of ADP issue-469 93 17 production production NOUN issue-469 93 18 factors factor NOUN issue-469 93 19 using use VERB issue-469 93 20 the the DET issue-469 93 21 principle principle NOUN issue-469 93 22 of of ADP issue-469 93 23 equal equal ADJ issue-469 93 24 margin margin NOUN issue-469 93 25 to to PART issue-469 93 26 determine determine VERB issue-469 93 27 the the DET issue-469 93 28 coordinates coordinate NOUN issue-469 93 29 of of ADP issue-469 93 30 the the DET issue-469 93 31 optimal optimal ADJ issue-469 93 32 capitallabour capitallabour NOUN issue-469 93 33 ratio ratio NOUN issue-469 93 34 . . PUNCT issue-469 94 1 it it PRON issue-469 94 2 is be AUX issue-469 94 3 assumed assume VERB issue-469 94 4 that that SCONJ issue-469 94 5 the the DET issue-469 94 6 marginal marginal ADJ issue-469 94 7 products product NOUN issue-469 94 8 of of ADP issue-469 94 9 the the DET issue-469 94 10 production production NOUN issue-469 94 11 factors factor NOUN issue-469 94 12 are be AUX issue-469 94 13 expressed express VERB issue-469 94 14 in in ADP issue-469 94 15 natural natural ADJ issue-469 94 16 units unit NOUN issue-469 94 17 . . PUNCT issue-469 95 1 in in ADP issue-469 95 2 general general ADJ issue-469 95 3 terms term NOUN issue-469 95 4 , , PUNCT issue-469 95 5 this this DET issue-469 95 6 rule rule NOUN issue-469 95 7 is be AUX issue-469 95 8 formulated formulate VERB issue-469 95 9 by by ADP issue-469 95 10 follows follow NOUN issue-469 95 11 . . PUNCT issue-469 96 1 the the DET issue-469 96 2 principle principle NOUN issue-469 96 3 of of ADP issue-469 96 4 equal equal ADJ issue-469 96 5 margin margin NOUN issue-469 96 6 to to PART issue-469 96 7 determine determine VERB issue-469 96 8 the the DET issue-469 96 9 optimal optimal ADJ issue-469 96 10 capital capital NOUN issue-469 96 11 - - PUNCT issue-469 96 12 labour labour NOUN issue-469 96 13 ratio ratio NOUN issue-469 96 14 of of ADP issue-469 96 15 any any DET issue-469 96 16 two two NUM issue-469 96 17 - - PUNCT issue-469 96 18 factor factor NOUN issue-469 96 19 production production NOUN issue-469 96 20 function function NOUN issue-469 96 21 with with ADP issue-469 96 22 non non ADJ issue-469 96 23 - - ADJ issue-469 96 24 zero zero NUM issue-469 96 25 substitution substitution NOUN issue-469 96 26 is be AUX issue-469 96 27 to to PART issue-469 96 28 fulfil fulfil VERB issue-469 96 29 the the DET issue-469 96 30 condition condition NOUN issue-469 97 1 mrs mrs PROPN issue-469 97 2 y y PROPN issue-469 97 3 k k PROPN issue-469 97 4 y y PROPN issue-469 97 5 l l NOUN issue-469 97 6 f f X issue-469 98 1 ê ê PROPN issue-469 98 2 l l NOUN issue-469 99 1 f f PROPN issue-469 99 2 k k PROPN issue-469 99 3 llê llê PROPN issue-469 100 1 k k PROPN issue-469 100 2 l l PROPN issue-469 100 3 = = SYM issue-469 100 4 ∂ ∂ NUM issue-469 100 5 ∂ ∂ NUM issue-469 100 6 ∂ ∂ NUM issue-469 100 7 ∂ ∂ NOUN issue-469 100 8 = = NOUN issue-469 100 9 ′ ′ NOUN issue-469 100 10 ′ ′ NUM issue-469 101 1 = = NOUN issue-469 101 2 : : PUNCT issue-469 101 3 ( ( PUNCT issue-469 101 4 , , PUNCT issue-469 101 5 ) ) PUNCT issue-469 101 6 ( ( PUNCT issue-469 101 7 , , PUNCT issue-469 101 8 ) ) PUNCT issue-469 101 9 .1 .1 NUM issue-469 101 10 ( ( PUNCT issue-469 101 11 9 9 NUM issue-469 101 12 ) ) PUNCT issue-469 101 13 from from ADP issue-469 101 14 formula formula NOUN issue-469 101 15 ( ( PUNCT issue-469 101 16 9 9 NUM issue-469 101 17 ) ) PUNCT issue-469 101 18 , , PUNCT issue-469 101 19 the the DET issue-469 101 20 determination determination NOUN issue-469 101 21 of of ADP issue-469 101 22 optimal optimal ADJ issue-469 101 23 capital capital NOUN issue-469 101 24 - - PUNCT issue-469 101 25 labour labour NOUN issue-469 101 26 ratio ratio NOUN issue-469 101 27 k1 k1 PROPN issue-469 101 28 / / SYM issue-469 101 29 l1 l1 PROPN issue-469 101 30 is be AUX issue-469 101 31 quite quite ADV issue-469 101 32 simple simple ADJ issue-469 101 33 . . PUNCT issue-469 102 1 let let VERB issue-469 102 2 us we PRON issue-469 102 3 illustrate illustrate VERB issue-469 102 4 this this PRON issue-469 102 5 by by ADP issue-469 102 6 the the DET issue-469 102 7 example example NOUN issue-469 102 8 of of ADP issue-469 102 9 the the DET issue-469 102 10 most most ADV issue-469 102 11 popular popular ADJ issue-469 102 12 in in ADP issue-469 102 13 economic economic ADJ issue-469 102 14 research research NOUN issue-469 102 15 cobb cobb PROPN issue-469 102 16 - - PUNCT issue-469 102 17 douglas douglas PROPN issue-469 102 18 pf pf PROPN issue-469 102 19 : : PUNCT issue-469 102 20 y y PROPN issue-469 102 21 àk àk ADP issue-469 102 22 l= l= PROPN issue-469 102 23 α α PROPN issue-469 102 24 β β PROPN issue-469 102 25 , , PUNCT issue-469 102 26 ( ( PUNCT issue-469 102 27 10 10 NUM issue-469 102 28 ) ) PUNCT issue-469 102 29 where where SCONJ issue-469 102 30 a a DET issue-469 102 31 – – PUNCT issue-469 102 32 coefficient coefficient NOUN issue-469 102 33 of of ADP issue-469 102 34 the the DET issue-469 102 35 scale scale NOUN issue-469 102 36 ( ( PUNCT issue-469 102 37 0 0 PUNCT issue-469 102 38 < < X issue-469 102 39 a a PROPN issue-469 102 40 ) ) PUNCT issue-469 102 41 ; ; PUNCT issue-469 103 1 α α X issue-469 103 2 , , PUNCT issue-469 103 3 β β X issue-469 103 4 – – PUNCT issue-469 103 5 parameters parameter NOUN issue-469 103 6 that that PRON issue-469 103 7 determine determine VERB issue-469 103 8 elasticity elasticity NOUN issue-469 103 9 of of ADP issue-469 103 10 product product NOUN issue-469 103 11 output output NOUN issue-469 103 12 by by ADP issue-469 103 13 individual individual ADJ issue-469 103 14 factors factor NOUN issue-469 103 15 ( ( PUNCT issue-469 103 16 0 0 NUM issue-469 103 17 < < X issue-469 103 18 α α X issue-469 103 19 < < X issue-469 103 20 1 1 NUM issue-469 103 21 , , PUNCT issue-469 103 22 0 0 PUNCT issue-469 103 23 < < X issue-469 103 24 β β X issue-469 103 25 < < X issue-469 103 26 1 1 NUM issue-469 103 27 ) ) PUNCT issue-469 103 28 . . PUNCT issue-469 104 1 pf pf PROPN issue-469 104 2 ( ( PUNCT issue-469 104 3 10 10 NUM issue-469 104 4 ) ) PUNCT issue-469 104 5 relates relate VERB issue-469 104 6 to to ADP issue-469 104 7 neoclassical neoclassical ADJ issue-469 104 8 functions function NOUN issue-469 104 9 ( ( PUNCT issue-469 104 10 see see VERB issue-469 104 11 fig fig NOUN issue-469 104 12 . . PUNCT issue-469 105 1 1 1 NUM issue-469 105 2 ) ) PUNCT issue-469 105 3 when when SCONJ issue-469 105 4 performing perform VERB issue-469 105 5 restrictions restriction NOUN issue-469 105 6 on on ADP issue-469 105 7 unknown unknown ADJ issue-469 105 8 parameters parameter NOUN issue-469 105 9 specified specify VERB issue-469 105 10 in in ADP issue-469 105 11 brackets bracket NOUN issue-469 105 12 . . PUNCT issue-469 106 1 its its PRON issue-469 106 2 elasticity elasticity NOUN issue-469 106 3 of of ADP issue-469 106 4 the the DET issue-469 106 5 substitution substitution NOUN issue-469 106 6 of of ADP issue-469 106 7 the the DET issue-469 106 8 factors factor NOUN issue-469 106 9 σkl σkl NOUN issue-469 106 10 is be AUX issue-469 106 11 constant constant ADJ issue-469 106 12 and and CCONJ issue-469 106 13 is be AUX issue-469 106 14 equal equal ADJ issue-469 106 15 to to ADP issue-469 106 16 one one NUM issue-469 106 17 . . PUNCT issue-469 107 1 the the DET issue-469 107 2 first first ADJ issue-469 107 3 partial partial ADJ issue-469 107 4 derivatives derivative NOUN issue-469 107 5 of of ADP issue-469 107 6 the the DET issue-469 107 7 cobb cobb PROPN issue-469 107 8 - - PUNCT issue-469 107 9 douglas douglas PROPN issue-469 107 10 pf pf PROPN issue-469 107 11 expressed express VERB issue-469 107 12 on on ADP issue-469 107 13 k k PROPN issue-469 107 14 and and CCONJ issue-469 107 15 l l NOUN issue-469 107 16 are be AUX issue-469 107 17 : : PUNCT issue-469 107 18 ∂ ∂ NUM issue-469 107 19 ∂ ∂ NUM issue-469 107 20 = = NOUN issue-469 107 21 −y −y NOUN issue-469 108 1 k k PROPN issue-469 109 1 a a DET issue-469 109 2 k k X issue-469 109 3 lα lα ADP issue-469 109 4 α α PRON issue-469 109 5 β1 β1 PROPN issue-469 109 6 ; ; PUNCT issue-469 109 7 ∂ ∂ NUM issue-469 109 8 ∂ ∂ NOUN issue-469 109 9 = = NOUN issue-469 109 10 −y −y NOUN issue-469 110 1 l l NOUN issue-469 111 1 a a X issue-469 111 2 k k X issue-469 111 3 lβ lβ ADP issue-469 111 4 α α PROPN issue-469 111 5 β β PROPN issue-469 111 6 1 1 NUM issue-469 111 7 . . PUNCT issue-469 111 8 ( ( PUNCT issue-469 111 9 11 11 NUM issue-469 111 10 ) ) PUNCT issue-469 111 11 for for ADP issue-469 111 12 pf pf PROPN issue-469 111 13 ( ( PUNCT issue-469 111 14 10 10 NUM issue-469 111 15 ) ) PUNCT issue-469 111 16 , , PUNCT issue-469 111 17 we we PRON issue-469 111 18 write write VERB issue-469 111 19 the the DET issue-469 111 20 condition condition NOUN issue-469 111 21 ( ( PUNCT issue-469 111 22 9 9 NUM issue-469 111 23 ): ): PUNCT issue-469 111 24 mrs mrs PROPN issue-469 111 25 y y PROPN issue-469 111 26 k k PROPN issue-469 111 27 y y PROPN issue-469 111 28 l l PROPN issue-469 111 29 a a X issue-469 111 30 ê ê NOUN issue-469 111 31 l l NOUN issue-469 111 32 a a DET issue-469 111 33 k k PROPN issue-469 111 34 llê llê PROPN issue-469 111 35 = = SYM issue-469 111 36 ∂ ∂ NUM issue-469 111 37 ∂ ∂ NUM issue-469 111 38 ∂ ∂ NUM issue-469 111 39 ∂ ∂ NOUN issue-469 111 40 = = SYM issue-469 111 41 = = PUNCT issue-469 112 1 − − PROPN issue-469 112 2 − − NOUN issue-469 112 3 : : PUNCT issue-469 112 4 . . PUNCT issue-469 113 1 α α X issue-469 113 2 β β VERB issue-469 113 3 α α X issue-469 113 4 β β X issue-469 113 5 α α X issue-469 113 6 β β NOUN issue-469 113 7 1 1 NUM issue-469 113 8 1 1 NUM issue-469 113 9 1 1 NUM issue-469 113 10 ( ( PUNCT issue-469 113 11 12 12 NUM issue-469 113 12 ) ) PUNCT issue-469 113 13 hence hence ADV issue-469 113 14 , , PUNCT issue-469 113 15 the the DET issue-469 113 16 optimal optimal ADJ issue-469 113 17 capital capital NOUN issue-469 113 18 - - PUNCT issue-469 113 19 labour labour NOUN issue-469 113 20 ratio ratio NOUN issue-469 113 21 k1 k1 PROPN issue-469 113 22 / / SYM issue-469 113 23 l1 l1 PROPN issue-469 113 24 is be AUX issue-469 113 25 defined define VERB issue-469 113 26 as as SCONJ issue-469 113 27 follows follow VERB issue-469 113 28 : : PUNCT issue-469 113 29 ê ê NOUN issue-469 113 30 l l NOUN issue-469 113 31 1 1 NUM issue-469 113 32 1 1 NUM issue-469 113 33 = = SYM issue-469 113 34 α α PRON issue-469 113 35 β β X issue-469 113 36 , , PUNCT issue-469 113 37 ( ( PUNCT issue-469 113 38 13 13 NUM issue-469 113 39 ) ) PUNCT issue-469 113 40 which which PRON issue-469 113 41 means mean VERB issue-469 113 42 that that SCONJ issue-469 113 43 the the DET issue-469 113 44 investment investment NOUN issue-469 113 45 of of ADP issue-469 113 46 funds fund NOUN issue-469 113 47 in in ADP issue-469 113 48 production production NOUN issue-469 113 49 funds fund NOUN issue-469 113 50 and and CCONJ issue-469 113 51 labour labour NOUN issue-469 113 52 will will AUX issue-469 113 53 be be AUX issue-469 113 54 optimal optimal ADJ issue-469 113 55 in in ADP issue-469 113 56 the the DET issue-469 113 57 proportion proportion NOUN issue-469 113 58 of of ADP issue-469 113 59 the the DET issue-469 113 60 elasticity elasticity NOUN issue-469 113 61 of of ADP issue-469 113 62 output output NOUN issue-469 113 63 on on ADP issue-469 113 64 the the DET issue-469 113 65 basis basis NOUN issue-469 113 66 of of ADP issue-469 113 67 certain certain ADJ issue-469 113 68 factors factor NOUN issue-469 113 69 if if SCONJ issue-469 113 70 the the DET issue-469 113 71 econometric econometric ADJ issue-469 113 72 model model NOUN issue-469 113 73 based base VERB issue-469 113 74 on on ADP issue-469 113 75 the the DET issue-469 113 76 pf pf PROPN issue-469 113 77 ( ( PUNCT issue-469 113 78 10 10 NUM issue-469 113 79 ) ) PUNCT issue-469 113 80 is be AUX issue-469 113 81 adequate adequate ADJ issue-469 113 82 . . PUNCT issue-469 114 1 let let VERB issue-469 114 2 us we PRON issue-469 114 3 verify verify VERB issue-469 114 4 the the DET issue-469 114 5 validity validity NOUN issue-469 114 6 of of ADP issue-469 114 7 the the DET issue-469 114 8 obtained obtain VERB issue-469 114 9 formula formula NOUN issue-469 114 10 ( ( PUNCT issue-469 114 11 13 13 NUM issue-469 114 12 ) ) PUNCT issue-469 114 13 using use VERB issue-469 114 14 a a DET issue-469 114 15 mathematical mathematical ADJ issue-469 114 16 analysis analysis NOUN issue-469 114 17 of of ADP issue-469 114 18 the the DET issue-469 114 19 cobb cobb PROPN issue-469 114 20 - - PUNCT issue-469 114 21 douglas douglas PROPN issue-469 114 22 pf pf VERB issue-469 114 23 in in ADP issue-469 114 24 order order NOUN issue-469 114 25 to to PART issue-469 114 26 determine determine VERB issue-469 114 27 the the DET issue-469 114 28 optimal optimal ADJ issue-469 114 29 capital capital NOUN issue-469 114 30 - - PUNCT issue-469 114 31 labour labour NOUN issue-469 114 32 ratio ratio NOUN issue-469 114 33 according accord VERB issue-469 114 34 to to ADP issue-469 114 35 the the DET issue-469 114 36 criterion criterion NOUN issue-469 114 37 of of ADP issue-469 114 38 “ " PUNCT issue-469 114 39 maximum maximum ADJ issue-469 114 40 output output NOUN issue-469 114 41 ” " PUNCT issue-469 114 42 . . PUNCT issue-469 115 1 we we PRON issue-469 115 2 find find VERB issue-469 115 3 l1 l1 PROPN issue-469 115 4 from from ADP issue-469 115 5 the the DET issue-469 115 6 equation equation NOUN issue-469 115 7 of of ADP issue-469 115 8 interaction interaction NOUN issue-469 115 9 l1 l1 PROPN issue-469 115 10 = = PROPN issue-469 115 11 c1 c1 PROPN issue-469 115 12 – – PUNCT issue-469 115 13 k1 k1 PROPN issue-469 115 14 , , PUNCT issue-469 115 15 substitute substitute VERB issue-469 115 16 it it PRON issue-469 115 17 into into ADP issue-469 115 18 formula formula NOUN issue-469 115 19 ( ( PUNCT issue-469 115 20 10 10 NUM issue-469 115 21 ) ) PUNCT issue-469 115 22 and and CCONJ issue-469 115 23 look look VERB issue-469 115 24 for for SCONJ issue-469 115 25 its its PRON issue-469 115 26 maximum maximum NOUN issue-469 115 27 to to PART issue-469 115 28 solve solve VERB issue-469 115 29 this this DET issue-469 115 30 problem problem NOUN issue-469 115 31 . . PUNCT issue-469 116 1 y y NOUN issue-469 116 2 = = PUNCT issue-469 116 3 akα akα PROPN issue-469 116 4 ( ( PUNCT issue-469 116 5 с1 с1 NOUN issue-469 116 6 – – PUNCT issue-469 116 7 к1)β к1)β PROPN issue-469 116 8 → → SYM issue-469 116 9 max max PROPN issue-469 116 10 . . PUNCT issue-469 117 1 ( ( PUNCT issue-469 117 2 14 14 NUM issue-469 117 3 ) ) PUNCT issue-469 117 4 we we PRON issue-469 117 5 find find VERB issue-469 117 6 ∂ ∂ NOUN issue-469 117 7 ∂ ∂ NOUN issue-469 117 8 y y PROPN issue-469 117 9 k k PROPN issue-469 117 10 – – PUNCT issue-469 117 11 the the DET issue-469 117 12 first first ADJ issue-469 117 13 partial partial ADJ issue-469 117 14 derivative derivative NOUN issue-469 117 15 of of ADP issue-469 117 16 the the DET issue-469 117 17 function function NOUN issue-469 117 18 ( ( PUNCT issue-469 117 19 14 14 NUM issue-469 117 20 ) ) PUNCT issue-469 117 21 by by ADP issue-469 117 22 k k PROPN issue-469 117 23 on on ADP issue-469 117 24 the the DET issue-469 117 25 segment segment NOUN issue-469 117 26 [ [ X issue-469 117 27 0 0 NUM issue-469 117 28 ; ; PUNCT issue-469 117 29 c c X issue-469 117 30 ] ] PUNCT issue-469 117 31 and and CCONJ issue-469 117 32 define define VERB issue-469 117 33 the the DET issue-469 117 34 critical critical ADJ issue-469 117 35 points point NOUN issue-469 117 36 , , PUNCT issue-469 117 37 in in ADP issue-469 117 38 which which PRON issue-469 117 39 it it PRON issue-469 117 40 is be AUX issue-469 117 41 equal equal ADJ issue-469 117 42 to to ADP issue-469 117 43 0 0 NUM issue-469 117 44 or or CCONJ issue-469 117 45 ∞. ∞. PROPN issue-469 117 46 as as ADP issue-469 117 47 a a DET issue-469 117 48 result result NOUN issue-469 117 49 of of ADP issue-469 117 50 elementary elementary ADJ issue-469 117 51 transformations transformation NOUN issue-469 117 52 , , PUNCT issue-469 117 53 we we PRON issue-469 117 54 obtain obtain VERB issue-469 117 55 : : PUNCT issue-469 117 56 ∂ ∂ NUM issue-469 117 57 ∂ ∂ NOUN issue-469 117 58 y y PROPN issue-469 117 59 k k PROPN issue-469 118 1 = = PUNCT issue-469 118 2 ak1 ak1 ADJ issue-469 118 3 α-1(с1 α-1(с1 NOUN issue-469 118 4 – – PUNCT issue-469 118 5 к1)β-1[a(c1 к1)β-1[a(c1 ADV issue-469 118 6 – – PUNCT issue-469 118 7 k1 k1 NOUN issue-469 118 8 ) ) PUNCT issue-469 118 9 – – PUNCT issue-469 118 10 βk1 βk1 NOUN issue-469 118 11 ] ] PUNCT issue-469 118 12 . . PUNCT issue-469 119 1 ( ( PUNCT issue-469 119 2 15 15 X issue-469 119 3 ) ) PUNCT issue-469 119 4 it it PRON issue-469 119 5 is be AUX issue-469 119 6 obvious obvious ADJ issue-469 119 7 that that SCONJ issue-469 119 8 ∂ ∂ NOUN issue-469 119 9 ∂ ∂ NOUN issue-469 120 1 y y PROPN issue-469 121 1 k k PROPN issue-469 122 1 = = PUNCT issue-469 122 2 0 0 NUM issue-469 122 3 when when SCONJ issue-469 122 4 one one NUM issue-469 122 5 of of ADP issue-469 122 6 the the DET issue-469 122 7 summands summand NOUN issue-469 122 8 of of ADP issue-469 122 9 formula formula NOUN issue-469 122 10 ( ( PUNCT issue-469 122 11 15 15 NUM issue-469 122 12 ) ) PUNCT issue-469 122 13 is be AUX issue-469 122 14 equal equal ADJ issue-469 122 15 to to ADP issue-469 122 16 0 0 NUM issue-469 122 17 . . PUNCT issue-469 123 1 taking take VERB issue-469 123 2 into into ADP issue-469 123 3 account account NOUN issue-469 123 4 neoclassical neoclassical ADJ issue-469 123 5 conditions condition NOUN issue-469 123 6 a a DET issue-469 123 7 > > X issue-469 123 8 0 0 PROPN issue-469 123 9 , , PUNCT issue-469 123 10 k k PROPN issue-469 123 11 > > X issue-469 123 12 0 0 PROPN issue-469 123 13 , , PUNCT issue-469 123 14 l l NOUN issue-469 123 15 > > X issue-469 123 16 0 0 NUM issue-469 123 17 expression expression NOUN issue-469 123 18 ( ( PUNCT issue-469 123 19 15 15 NUM issue-469 123 20 ) ) PUNCT issue-469 123 21 is be AUX issue-469 123 22 equal equal ADJ issue-469 123 23 to to ADP issue-469 123 24 zero zero NUM issue-469 123 25 for for ADP issue-469 123 26 a(c1 a(c1 NOUN issue-469 123 27 – – PUNCT issue-469 123 28 k1 k1 NOUN issue-469 123 29 ) ) PUNCT issue-469 123 30 – – PUNCT issue-469 123 31 βk1 βk1 X issue-469 124 1 = = SYM issue-469 124 2 0 0 X issue-469 124 3 . . PUNCT issue-469 125 1 it it PRON issue-469 125 2 follows follow VERB issue-469 125 3 that that SCONJ issue-469 125 4 the the DET issue-469 125 5 point point NOUN issue-469 125 6 ê ê NOUN issue-469 125 7 ñ1 ñ1 X issue-469 125 8 1= 1= X issue-469 125 9 + + CCONJ issue-469 125 10 α α PROPN issue-469 125 11 α α NOUN issue-469 125 12 β β X issue-469 125 13 ( ( PUNCT issue-469 125 14 16 16 NUM issue-469 125 15 ) ) PUNCT issue-469 125 16 is be AUX issue-469 125 17 critical critical ADJ issue-469 125 18 . . PUNCT issue-469 126 1 from from ADP issue-469 126 2 formula formula NOUN issue-469 126 3 ( ( PUNCT issue-469 126 4 16 16 NUM issue-469 126 5 ) ) PUNCT issue-469 126 6 and and CCONJ issue-469 126 7 the the DET issue-469 126 8 ratio ratio NOUN issue-469 126 9 l1 l1 PROPN issue-469 126 10 = = PROPN issue-469 126 11 c1 c1 PROPN issue-469 126 12 – – PUNCT issue-469 126 13 k1 k1 PROPN issue-469 126 14 follows follow VERB issue-469 126 15 l l NOUN issue-469 126 16 ñ1 ñ1 PROPN issue-469 126 17 1= 1= X issue-469 126 18 + + X issue-469 126 19 β β X issue-469 126 20 α α NOUN issue-469 126 21 β β X issue-469 126 22 . . PUNCT issue-469 127 1 ( ( PUNCT issue-469 127 2 17 17 NUM issue-469 127 3 ) ) PUNCT issue-469 127 4 we we PRON issue-469 127 5 obtain obtain VERB issue-469 127 6 the the DET issue-469 127 7 desired desire VERB issue-469 127 8 optimal optimal ADJ issue-469 127 9 capital capital NOUN issue-469 127 10 - - PUNCT issue-469 127 11 labour labour NOUN issue-469 127 12 ratio ratio NOUN issue-469 127 13 k1 k1 PROPN issue-469 127 14 / / SYM issue-469 127 15 l1 l1 PROPN issue-469 127 16 by by ADP issue-469 127 17 dividing divide VERB issue-469 127 18 the the DET issue-469 127 19 expression expression NOUN issue-469 127 20 ( ( PUNCT issue-469 127 21 16 16 NUM issue-469 127 22 ) ) PUNCT issue-469 127 23 into into ADP issue-469 127 24 ( ( PUNCT issue-469 127 25 17 17 NUM issue-469 127 26 ) ) PUNCT issue-469 127 27 , , PUNCT issue-469 127 28 which which PRON issue-469 127 29 completely completely ADV issue-469 127 30 coincides coincide VERB issue-469 127 31 with with ADP issue-469 127 32 the the DET issue-469 127 33 formula formula NOUN issue-469 127 34 ( ( PUNCT issue-469 127 35 13 13 NUM issue-469 127 36 ) ) PUNCT issue-469 127 37 . . PUNCT issue-469 128 1 we we PRON issue-469 128 2 find find VERB issue-469 128 3 the the DET issue-469 128 4 maximum maximum NOUN issue-469 128 5 of of ADP issue-469 128 6 output output NOUN issue-469 128 7 in in ADP issue-469 128 8 terms term NOUN issue-469 128 9 of of ADP issue-469 128 10 optimal optimal ADJ issue-469 128 11 capital capital NOUN issue-469 128 12 - - PUNCT issue-469 128 13 labour labour NOUN issue-469 128 14 ratio ratio NOUN issue-469 128 15 and and CCONJ issue-469 128 16 the the DET issue-469 128 17 adequacy adequacy NOUN issue-469 128 18 of of ADP issue-469 128 19 the the DET issue-469 128 20 cobbdouglas cobbdougla NOUN issue-469 128 21 pf pf PROPN issue-469 128 22 of of ADP issue-469 128 23 the the DET issue-469 128 24 researching research VERB issue-469 128 25 economic economic ADJ issue-469 128 26 phenomenon phenomenon NOUN issue-469 128 27 by by ADP issue-469 128 28 having having AUX issue-469 128 29 expressed express VERB issue-469 128 30 k1 k1 NOUN issue-469 128 31 from from ADP issue-469 128 32 the the DET issue-469 128 33 formula formula NOUN issue-469 128 34 ( ( PUNCT issue-469 128 35 13 13 NUM issue-469 128 36 ) ) PUNCT issue-469 128 37 and and CCONJ issue-469 128 38 substituting substitute VERB issue-469 128 39 it it PRON issue-469 128 40 into into ADP issue-469 128 41 ( ( PUNCT issue-469 128 42 10 10 NUM issue-469 128 43 ): ): PUNCT issue-469 128 44 k k PROPN issue-469 128 45 l l PUNCT issue-469 128 46 y y PROPN issue-469 128 47 lmax1 lmax1 PROPN issue-469 128 48 1 1 NUM issue-469 128 49 1= 1= NUM issue-469 128 50 = = SYM issue-469 128 51   NOUN issue-469 128 52   NOUN issue-469 128 53   NOUN issue-469 128 54   PROPN issue-469 128 55   PUNCT issue-469 129 1   VERB issue-469 130 1 + + CCONJ issue-469 130 2 α α X issue-469 130 3 β β X issue-469 130 4 α α X issue-469 130 5 β β X issue-469 130 6 α α X issue-469 130 7 α α NOUN issue-469 130 8 β β NOUN issue-469 130 9 ; ; PUNCT issue-469 130 10 . . PUNCT issue-469 131 1 ( ( PUNCT issue-469 131 2 18 18 NUM issue-469 131 3 ) ) PUNCT issue-469 131 4 let let VERB issue-469 131 5 us we PRON issue-469 131 6 consider consider VERB issue-469 131 7 the the DET issue-469 131 8 implementation implementation NOUN issue-469 131 9 of of ADP issue-469 131 10 the the DET issue-469 131 11 principle principle NOUN issue-469 131 12 of of ADP issue-469 131 13 equal equal ADJ issue-469 131 14 margin margin NOUN issue-469 131 15 in in ADP issue-469 131 16 determining determine VERB issue-469 131 17 the the DET issue-469 131 18 optimal optimal ADJ issue-469 131 19 capital capital NOUN issue-469 131 20 - - PUNCT issue-469 131 21 labour labour NOUN issue-469 131 22 ratio ratio NOUN issue-469 131 23 for for ADP issue-469 131 24 the the DET issue-469 131 25 ces ce NOUN issue-469 131 26 - - NOUN issue-469 131 27 function function NOUN issue-469 131 28 y y PROPN issue-469 131 29 k k PROPN issue-469 131 30 l= l= X issue-469 132 1 + + PUNCT issue-469 132 2 −− −− NOUN issue-469 132 3 − − NOUN issue-469 132 4 − − PROPN issue-469 132 5 à à X issue-469 132 6 à à X issue-469 132 7 àð àð PROPN issue-469 132 8 ð ð PROPN issue-469 132 9 ð ð X issue-469 132 10 0 0 NUM issue-469 132 11 1 1 NUM issue-469 132 12 11 11 NUM issue-469 132 13 [ [ PUNCT issue-469 132 14 ( ( PUNCT issue-469 132 15 ) ) PUNCT issue-469 132 16 ] ] PUNCT issue-469 132 17 , , PUNCT issue-469 132 18 γ γ X issue-469 132 19 ( ( PUNCT issue-469 132 20 19 19 NUM issue-469 132 21 ) ) PUNCT issue-469 132 22 where where SCONJ issue-469 132 23 a0 a0 PROPN issue-469 132 24 is be AUX issue-469 132 25 the the DET issue-469 132 26 coefficient coefficient NOUN issue-469 132 27 of of ADP issue-469 132 28 the the DET issue-469 132 29 scale scale NOUN issue-469 132 30 ( ( PUNCT issue-469 132 31 0 0 NUM issue-469 132 32 < < X issue-469 132 33 a0 a0 PROPN issue-469 132 34 ) ) PUNCT issue-469 132 35 ; ; PUNCT issue-469 132 36 a1 a1 NOUN issue-469 132 37 – – PUNCT issue-469 132 38 coefficient coefficient NOUN issue-469 132 39 of of ADP issue-469 132 40 weight weight NOUN issue-469 132 41 of of ADP issue-469 132 42 the the DET issue-469 132 43 production production NOUN issue-469 132 44 factor factor NOUN issue-469 132 45 ( ( PUNCT issue-469 132 46 0 0 PUNCT issue-469 132 47 < < X issue-469 132 48 a1 a1 NOUN issue-469 132 49 < < X issue-469 132 50 1 1 NUM issue-469 132 51 ) ) PUNCT issue-469 132 52 ; ; PUNCT issue-469 132 53 p p PRON issue-469 132 54 is be AUX issue-469 132 55 the the DET issue-469 132 56 substitution substitution NOUN issue-469 132 57 parameter parameter NOUN issue-469 132 58 ( ( PUNCT issue-469 132 59 -1 -1 X issue-469 132 60 < < X issue-469 132 61 p p X issue-469 132 62 ) ) PUNCT issue-469 132 63 ; ; PUNCT issue-469 132 64 γ γ X issue-469 132 65 is be AUX issue-469 132 66 the the DET issue-469 132 67 degree degree NOUN issue-469 132 68 of of ADP issue-469 132 69 homogeneity homogeneity NOUN issue-469 132 70 ( ( PUNCT issue-469 132 71 0 0 NUM issue-469 132 72 < < X issue-469 132 73 γ γ X issue-469 132 74 ) ) PUNCT issue-469 132 75 . . PUNCT issue-469 133 1 pf pf PROPN issue-469 133 2 ( ( PUNCT issue-469 133 3 19 19 NUM issue-469 133 4 ) ) PUNCT issue-469 133 5 also also ADV issue-469 133 6 applies apply VERB issue-469 133 7 to to ADP issue-469 133 8 neoclassical neoclassical ADJ issue-469 133 9 functions function NOUN issue-469 133 10 ( ( PUNCT issue-469 133 11 see see VERB issue-469 133 12 fig fig NOUN issue-469 133 13 . . PUNCT issue-469 134 1 1 1 NUM issue-469 134 2 ) ) PUNCT issue-469 134 3 when when SCONJ issue-469 134 4 it it PRON issue-469 134 5 is be AUX issue-469 134 6 performing perform VERB issue-469 134 7 restrictions restriction NOUN issue-469 134 8 on on ADP issue-469 134 9 unknown unknown ADJ issue-469 134 10 parameters parameter NOUN issue-469 134 11 specified specify VERB issue-469 134 12 in in ADP issue-469 134 13 brackets bracket NOUN issue-469 134 14 . . PUNCT issue-469 135 1 its its PRON issue-469 135 2 elasticity elasticity NOUN issue-469 135 3 of of ADP issue-469 135 4 the the DET issue-469 135 5 replacement replacement NOUN issue-469 135 6 of of ADP issue-469 135 7 the the DET issue-469 135 8 factors factor NOUN issue-469 135 9 σkl σkl NOUN issue-469 135 10 is be AUX issue-469 135 11 also also ADV issue-469 135 12 constant constant ADJ issue-469 135 13 but but CCONJ issue-469 135 14 it it PRON issue-469 135 15 may may AUX issue-469 135 16 acquire acquire VERB issue-469 135 17 any any DET issue-469 135 18 value value NOUN issue-469 135 19 . . PUNCT issue-469 136 1 the the DET issue-469 136 2 first first ADJ issue-469 136 3 partial partial ADJ issue-469 136 4 derivatives derivative NOUN issue-469 136 5 of of ADP issue-469 136 6 the the DET issue-469 136 7 ces ce NOUN issue-469 136 8 - - PUNCT issue-469 136 9 functions function NOUN issue-469 136 10 on on ADP issue-469 136 11 k k PROPN issue-469 136 12 and and CCONJ issue-469 136 13 l l NOUN issue-469 136 14 are be AUX issue-469 136 15 : : PUNCT issue-469 136 16 ∂ ∂ NUM issue-469 136 17 ∂ ∂ NUM issue-469 136 18 = = SYM issue-469 136 19   NOUN issue-469 136 20   NOUN issue-469 136 21   NOUN issue-469 136 22   PROPN issue-469 136 23   PUNCT issue-469 137 1   NOUN issue-469 137 2 + + CCONJ issue-469 137 3 y y PROPN issue-469 137 4 k k PROPN issue-469 137 5 à à X issue-469 137 6 à à X issue-469 137 7 y y PROPN issue-469 137 8 kð kð PROPN issue-469 137 9 ð ð PROPN issue-469 137 10 1 1 NUM issue-469 137 11 0 0 NUM issue-469 137 12 1 1 NUM issue-469 137 13 1 1 NUM issue-469 137 14 ; ; PUNCT issue-469 137 15 ∂ ∂ NUM issue-469 137 16 ∂ ∂ NUM issue-469 137 17 = = SYM issue-469 137 18 − − PROPN issue-469 137 19   NOUN issue-469 137 20   NOUN issue-469 137 21   NOUN issue-469 137 22   PROPN issue-469 137 23   PUNCT issue-469 138 1   NOUN issue-469 138 2 + + CCONJ issue-469 138 3 y y PROPN issue-469 138 4 l l NOUN issue-469 138 5 à à X issue-469 138 6 à à X issue-469 138 7 y y VERB issue-469 138 8 lð lð ADP issue-469 138 9 ð ð PROPN issue-469 138 10 1 1 NUM issue-469 138 11 1 1 NUM issue-469 138 12 0 0 NUM issue-469 138 13 1 1 NUM issue-469 138 14 1 1 NUM issue-469 138 15 . . PUNCT issue-469 139 1 ( ( PUNCT issue-469 139 2 20 20 NUM issue-469 139 3 ) ) PUNCT issue-469 139 4 then then ADV issue-469 139 5 condition condition NOUN issue-469 139 6 ( ( PUNCT issue-469 139 7 9 9 NUM issue-469 139 8 ) ) PUNCT issue-469 139 9 for for ADP issue-469 139 10 pf pf PROPN issue-469 139 11 ( ( PUNCT issue-469 139 12 19 19 NUM issue-469 139 13 ) ) PUNCT issue-469 139 14 is be AUX issue-469 139 15 written write VERB issue-469 139 16 as as SCONJ issue-469 139 17 follows follow VERB issue-469 139 18 : : PUNCT issue-469 140 1 mrs mrs PROPN issue-469 140 2 y y PROPN issue-469 140 3 k k PROPN issue-469 140 4 y y PROPN issue-469 140 5 l l PROPN issue-469 140 6 a a DET issue-469 140 7 a a DET issue-469 140 8 l l NOUN issue-469 140 9 klê klê PROPN issue-469 141 1 p p NOUN issue-469 141 2 = = PROPN issue-469 141 3 ∂ ∂ NUM issue-469 141 4 ∂ ∂ NUM issue-469 141 5 ∂ ∂ NUM issue-469 141 6 ∂ ∂ NOUN issue-469 141 7 = = SYM issue-469 141 8 − − PROPN issue-469 141 9   NOUN issue-469 141 10   NOUN issue-469 141 11   NOUN issue-469 141 12   PROPN issue-469 141 13   PUNCT issue-469 141 14   NOUN issue-469 142 1 = = PUNCT issue-469 143 1 + + CCONJ issue-469 143 2 : : PUNCT issue-469 143 3 .1 .1 NUM issue-469 143 4 1 1 NUM issue-469 143 5 1 1 NUM issue-469 143 6 1 1 NUM issue-469 143 7 1 1 NUM issue-469 143 8 1 1 NUM issue-469 143 9 1 1 NUM issue-469 143 10 ( ( PUNCT issue-469 143 11 21 21 NUM issue-469 143 12 ) ) PUNCT issue-469 143 13 hence hence ADV issue-469 143 14 , , PUNCT issue-469 143 15 the the DET issue-469 143 16 optimal optimal ADJ issue-469 143 17 capital capital NOUN issue-469 143 18 - - PUNCT issue-469 143 19 labour labour NOUN issue-469 143 20 ratio ratio NOUN issue-469 143 21 k1 k1 PROPN issue-469 143 22 / / SYM issue-469 143 23 l1 l1 PROPN issue-469 143 24 is be AUX issue-469 143 25 defined define VERB issue-469 143 26 as as SCONJ issue-469 143 27 follows follow VERB issue-469 143 28 : : PUNCT issue-469 143 29 ê ê X issue-469 143 30 l l NOUN issue-469 144 1 a a DET issue-469 144 2 a a PRON issue-469 144 3 ð ð NUM issue-469 144 4 1 1 NUM issue-469 144 5 1 1 NUM issue-469 144 6 1 1 NUM issue-469 144 7 1 1 NUM issue-469 144 8 1 1 NUM issue-469 144 9 1 1 NUM issue-469 144 10 1 1 NUM issue-469 144 11 = = SYM issue-469 144 12 − − NOUN issue-469 144 13   NOUN issue-469 144 14   NOUN issue-469 144 15   NOUN issue-469 144 16   PROPN issue-469 144 17   PUNCT issue-469 145 1   NOUN issue-469 145 2 + + X issue-469 145 3 . . PUNCT issue-469 146 1 ( ( PUNCT issue-469 146 2 22 22 NUM issue-469 146 3 ) ) PUNCT issue-469 146 4 maximum maximum ADJ issue-469 146 5 production production NOUN issue-469 146 6 output output NOUN issue-469 146 7 in in ADP issue-469 146 8 conditions condition NOUN issue-469 146 9 of of ADP issue-469 146 10 optimum optimum ADJ issue-469 146 11 capital capital NOUN issue-469 146 12 - - PUNCT issue-469 146 13 labour labour NOUN issue-469 146 14 ratio ratio NOUN issue-469 146 15 and and CCONJ issue-469 146 16 adequacy adequacy NOUN issue-469 146 17 of of ADP issue-469 146 18 ces ce NOUN issue-469 146 19 - - NOUN issue-469 146 20 function function NOUN issue-469 146 21 of of ADP issue-469 146 22 the the DET issue-469 146 23 studied study VERB issue-469 146 24 economic economic ADJ issue-469 146 25 phenomenon phenomenon NOUN issue-469 146 26 is be AUX issue-469 146 27 equal equal ADJ issue-469 146 28 to to ADP issue-469 146 29 : : PUNCT issue-469 146 30 k k X issue-469 146 31 l l PUNCT issue-469 147 1 a a DET issue-469 147 2 a a DET issue-469 147 3 y y NOUN issue-469 147 4 a a DET issue-469 147 5 l l NOUN issue-469 147 6 a a DET issue-469 147 7 c c NOUN issue-469 148 1 ð ð PROPN issue-469 148 2 max max PROPN issue-469 148 3 ð ð PROPN issue-469 148 4 ð ð PROPN issue-469 148 5 1 1 NUM issue-469 148 6 1 1 NUM issue-469 148 7 1 1 NUM issue-469 148 8 1 1 NUM issue-469 148 9 1 1 NUM issue-469 148 10 1 1 NUM issue-469 148 11 0 0 NUM issue-469 148 12 1 1 NUM issue-469 148 13 1 1 NUM issue-469 148 14 11 11 NUM issue-469 148 15 1= 1= NUM issue-469 148 16 − − NOUN issue-469 148 17   NOUN issue-469 148 18   NOUN issue-469 148 19   NOUN issue-469 148 20   PROPN issue-469 148 21   PUNCT issue-469 148 22   NOUN issue-469 148 23 = = PUNCT issue-469 149 1 − − PROPN issue-469 150 1 + + CCONJ issue-469 150 2 + + NUM issue-469 150 3   NOUN issue-469 150 4   NOUN issue-469 150 5   NOUN issue-469 150 6   PROPN issue-469 150 7   PUNCT issue-469 150 8   VERB issue-469 150 9 − − NOUN issue-469 150 10 ; ; PUNCT issue-469 150 11 [ [ X issue-469 150 12 ( ( PUNCT issue-469 150 13 ) ) PUNCT issue-469 150 14 ] ] PUNCT issue-469 150 15 . . PUNCT issue-469 151 1 γ γ X issue-469 151 2 γ γ X issue-469 151 3 γ γ X issue-469 151 4 ( ( PUNCT issue-469 151 5 23 23 NUM issue-469 151 6 ) ) PUNCT issue-469 151 7 the the DET issue-469 151 8 verification verification NOUN issue-469 151 9 of of ADP issue-469 151 10 the the DET issue-469 151 11 validity validity NOUN issue-469 151 12 of of ADP issue-469 151 13 the the DET issue-469 151 14 obtained obtain VERB issue-469 151 15 formula formula NOUN issue-469 151 16 ( ( PUNCT issue-469 151 17 22 22 NUM issue-469 151 18 ) ) PUNCT issue-469 151 19 by by ADP issue-469 151 20 using use VERB issue-469 151 21 the the DET issue-469 151 22 mathematical mathematical ADJ issue-469 151 23 analysis analysis NOUN issue-469 151 24 of of ADP issue-469 151 25 the the DET issue-469 151 26 cesfunction cesfunction NOUN issue-469 151 27 and and CCONJ issue-469 151 28 allen allen PROPN issue-469 151 29 function function PROPN issue-469 151 30 on on ADP issue-469 151 31 the the DET issue-469 151 32 basis basis NOUN issue-469 151 33 of of ADP issue-469 151 34 the the DET issue-469 151 35 criterion criterion NOUN issue-469 151 36 baltic baltic PROPN issue-469 151 37 journal journal PROPN issue-469 151 38 of of ADP issue-469 151 39 economic economic ADJ issue-469 151 40 studies study NOUN issue-469 151 41 376 376 NUM issue-469 151 42 vol vol NOUN issue-469 151 43 . . PROPN issue-469 151 44 4 4 NUM issue-469 151 45 , , PUNCT issue-469 151 46 no no INTJ issue-469 151 47 . . NOUN issue-469 151 48 3 3 NUM issue-469 151 49 , , PUNCT issue-469 151 50 2018 2018 NUM issue-469 151 51 of of ADP issue-469 151 52 “ " PUNCT issue-469 151 53 maximum maximum ADJ issue-469 151 54 output output NOUN issue-469 151 55 ” " PUNCT issue-469 151 56 is be AUX issue-469 151 57 given give VERB issue-469 151 58 in in ADP issue-469 151 59 works work NOUN issue-469 151 60 ( ( PUNCT issue-469 151 61 yankovyi yankovyi NOUN issue-469 151 62 , , PUNCT issue-469 151 63 2017 2017 NUM issue-469 151 64 ; ; PUNCT issue-469 151 65 koval koval NOUN issue-469 151 66 , , PUNCT issue-469 151 67 slobodianiuk slobodianiuk NOUN issue-469 151 68 , , PUNCT issue-469 151 69 yankovyi yankovyi NOUN issue-469 151 70 , , PUNCT issue-469 151 71 2018 2018 NUM issue-469 151 72 ) ) PUNCT issue-469 151 73 . . PUNCT issue-469 152 1 let let VERB issue-469 152 2 us we PRON issue-469 152 3 discuss discuss VERB issue-469 152 4 determining determine VERB issue-469 152 5 the the DET issue-469 152 6 optimal optimal ADJ issue-469 152 7 capital capital NOUN issue-469 152 8 - - PUNCT issue-469 152 9 labour labour NOUN issue-469 152 10 ratio ratio NOUN issue-469 152 11 by by ADP issue-469 152 12 the the DET issue-469 152 13 principle principle NOUN issue-469 152 14 of of ADP issue-469 152 15 equal equal ADJ issue-469 152 16 margin margin NOUN issue-469 152 17 for for ADP issue-469 152 18 the the DET issue-469 152 19 linear linear ADJ issue-469 152 20 pf pf PROPN issue-469 152 21 : : PUNCT issue-469 152 22 y y PROPN issue-469 152 23 – – PUNCT issue-469 152 24 a2 a2 PROPN issue-469 152 25 = = PUNCT issue-469 153 1 a3k a3k ADJ issue-469 153 2 + + ADJ issue-469 153 3 a4l a4l ADJ issue-469 153 4 , , PUNCT issue-469 153 5 ( ( PUNCT issue-469 153 6 24 24 NUM issue-469 153 7 ) ) PUNCT issue-469 153 8 where where SCONJ issue-469 153 9 a2 a2 PROPN issue-469 153 10 is be AUX issue-469 153 11 a a DET issue-469 153 12 free free ADJ issue-469 153 13 member member NOUN issue-469 153 14 ; ; PUNCT issue-469 153 15 a3 a3 NOUN issue-469 153 16 , , PUNCT issue-469 153 17 a4 a4 NOUN issue-469 153 18 – – PUNCT issue-469 153 19 parameters parameter NOUN issue-469 153 20 of of ADP issue-469 153 21 the the DET issue-469 153 22 linear linear PROPN issue-469 153 23 function function NOUN issue-469 153 24 , , PUNCT issue-469 153 25 expressing express VERB issue-469 153 26 the the DET issue-469 153 27 marginal marginal ADJ issue-469 153 28 products product NOUN issue-469 153 29 of of ADP issue-469 153 30 production production NOUN issue-469 153 31 factors factor NOUN issue-469 153 32 “ " PUNCT issue-469 153 33 fixed fix VERB issue-469 153 34 assets asset NOUN issue-469 153 35 ” " PUNCT issue-469 153 36 and and CCONJ issue-469 153 37 “ " PUNCT issue-469 153 38 labour labour NOUN issue-469 153 39 ” " PUNCT issue-469 153 40 . . PUNCT issue-469 154 1 a a DET issue-469 154 2 linear linear ADJ issue-469 154 3 function function NOUN issue-469 154 4 does do AUX issue-469 154 5 not not PART issue-469 154 6 belong belong VERB issue-469 154 7 to to ADP issue-469 154 8 a a DET issue-469 154 9 neoclassical neoclassical NOUN issue-469 154 10 because because SCONJ issue-469 154 11 the the DET issue-469 154 12 conditions condition NOUN issue-469 154 13 k k X issue-469 154 14 > > X issue-469 154 15 0 0 PROPN issue-469 154 16 , , PUNCT issue-469 154 17 l l NOUN issue-469 154 18 > > X issue-469 154 19 0 0 NUM issue-469 154 20 are be AUX issue-469 154 21 not not PART issue-469 154 22 met meet VERB issue-469 154 23 for for ADP issue-469 154 24 it it PRON issue-469 154 25 . . PUNCT issue-469 155 1 however however ADV issue-469 155 2 , , PUNCT issue-469 155 3 its its PRON issue-469 155 4 substitution substitution NOUN issue-469 155 5 of of ADP issue-469 155 6 factors factor NOUN issue-469 155 7 is be AUX issue-469 155 8 nonzero nonzero NOUN issue-469 155 9 ( ( PUNCT issue-469 155 10 σlk σlk X issue-469 155 11 = = SYM issue-469 155 12 + + NUM issue-469 155 13 ∞ ∞ NUM issue-469 155 14 ) ) PUNCT issue-469 155 15 , , PUNCT issue-469 155 16 therefore therefore ADV issue-469 155 17 , , PUNCT issue-469 155 18 the the DET issue-469 155 19 isocosts isocost NOUN issue-469 155 20 of of ADP issue-469 155 21 the the DET issue-469 155 22 pf pf PROPN issue-469 155 23 ( ( PUNCT issue-469 155 24 24 24 NUM issue-469 155 25 ) ) PUNCT issue-469 155 26 are be AUX issue-469 155 27 straight straight ADJ issue-469 155 28 lines line NOUN issue-469 155 29 , , PUNCT issue-469 155 30 which which PRON issue-469 155 31 are be AUX issue-469 155 32 crossing cross VERB issue-469 155 33 the the DET issue-469 155 34 coordinate coordinate NOUN issue-469 155 35 axis axis NOUN issue-469 155 36 ( ( PUNCT issue-469 155 37 fig fig NOUN issue-469 155 38 . . PUNCT issue-469 156 1 2 2 NUM issue-469 156 2 ) ) PUNCT issue-469 156 3 . . PUNCT issue-469 157 1 the the DET issue-469 157 2 first first ADJ issue-469 157 3 partial partial ADJ issue-469 157 4 derivatives derivative NOUN issue-469 157 5 of of ADP issue-469 157 6 expression expression NOUN issue-469 157 7 ( ( PUNCT issue-469 157 8 24 24 NUM issue-469 157 9 ) ) PUNCT issue-469 157 10 in in ADP issue-469 157 11 k k PROPN issue-469 157 12 and and CCONJ issue-469 157 13 l l PROPN issue-469 157 14 are be AUX issue-469 157 15 a3 a3 NOUN issue-469 157 16 , , PUNCT issue-469 157 17 a4 a4 NOUN issue-469 157 18 . . PUNCT issue-469 158 1 therefore therefore ADV issue-469 158 2 , , PUNCT issue-469 158 3 the the DET issue-469 158 4 optimal optimal ADJ issue-469 158 5 capital capital NOUN issue-469 158 6 - - PUNCT issue-469 158 7 labour labour NOUN issue-469 158 8 ratio ratio NOUN issue-469 158 9 does do AUX issue-469 158 10 not not PART issue-469 158 11 depend depend VERB issue-469 158 12 on on ADP issue-469 158 13 the the DET issue-469 158 14 specific specific ADJ issue-469 158 15 values value NOUN issue-469 158 16 of of ADP issue-469 158 17 k k PROPN issue-469 158 18 , , PUNCT issue-469 158 19 l l NOUN issue-469 158 20 , , PUNCT issue-469 158 21 however however ADV issue-469 158 22 , , PUNCT issue-469 158 23 according accord VERB issue-469 158 24 to to ADP issue-469 158 25 condition condition NOUN issue-469 158 26 ( ( PUNCT issue-469 158 27 9 9 NUM issue-469 158 28 ) ) PUNCT issue-469 158 29 , , PUNCT issue-469 158 30 the the DET issue-469 158 31 equality equality NOUN issue-469 158 32 a3 a3 NOUN issue-469 158 33 = = SYM issue-469 158 34 a4 a4 NOUN issue-469 158 35 must must AUX issue-469 158 36 be be AUX issue-469 158 37 satisfied satisfied ADJ issue-469 158 38 . . PUNCT issue-469 159 1 this this PRON issue-469 159 2 means mean VERB issue-469 159 3 that that SCONJ issue-469 159 4 the the DET issue-469 159 5 set set NOUN issue-469 159 6 of of ADP issue-469 159 7 points point NOUN issue-469 159 8 of of ADP issue-469 159 9 isocost isocost PROPN issue-469 159 10 ab ab PROPN issue-469 159 11 in in ADP issue-469 159 12 fig fig NOUN issue-469 159 13 . . PUNCT issue-469 160 1 2 2 NUM issue-469 160 2 , , PUNCT issue-469 160 3 which which PRON issue-469 160 4 corresponds correspond VERB issue-469 160 5 to to ADP issue-469 160 6 the the DET issue-469 160 7 aggregate aggregate ADJ issue-469 160 8 costs cost NOUN issue-469 161 1 c1 c1 NOUN issue-469 161 2 = = PROPN issue-469 161 3 k1 k1 PROPN issue-469 161 4 + + CCONJ issue-469 161 5 l1 l1 PROPN issue-469 161 6 and and CCONJ issue-469 161 7 coincides coincide VERB issue-469 161 8 with with ADP issue-469 161 9 the the DET issue-469 161 10 isoquant isoquant ADJ issue-469 161 11 y2 y2 PROPN issue-469 161 12 – – PUNCT issue-469 161 13 a2 a2 PROPN issue-469 161 14 = = PUNCT issue-469 161 15 a3с1 a3с1 X issue-469 161 16 ( ( PUNCT issue-469 161 17 25 25 NUM issue-469 161 18 ) ) PUNCT issue-469 161 19 provides provide VERB issue-469 161 20 the the DET issue-469 161 21 optimal optimal ADJ issue-469 161 22 capital capital NOUN issue-469 161 23 - - PUNCT issue-469 161 24 labour labour NOUN issue-469 161 25 ratio ratio NOUN issue-469 161 26 . . PUNCT issue-469 162 1 the the DET issue-469 162 2 maximum maximum NOUN issue-469 162 3 of of ADP issue-469 162 4 products product NOUN issue-469 162 5 in in ADP issue-469 162 6 value value NOUN issue-469 162 7 terms term NOUN issue-469 162 8 is be AUX issue-469 162 9 ymax ymax ADJ issue-469 162 10 = = SYM issue-469 162 11 a3с1 a3с1 X issue-469 162 12 + + NUM issue-469 162 13 a2 a2 PROPN issue-469 162 14 . . PUNCT issue-469 163 1 let let VERB issue-469 163 2 us we PRON issue-469 163 3 consider consider VERB issue-469 163 4 the the DET issue-469 163 5 implementation implementation NOUN issue-469 163 6 of of ADP issue-469 163 7 the the DET issue-469 163 8 principle principle NOUN issue-469 163 9 of of ADP issue-469 163 10 equal equal ADJ issue-469 163 11 margin margin NOUN issue-469 163 12 in in ADP issue-469 163 13 determining determine VERB issue-469 163 14 the the DET issue-469 163 15 optimal optimal ADJ issue-469 163 16 capital capital NOUN issue-469 163 17 - - PUNCT issue-469 163 18 labour labour NOUN issue-469 163 19 ratio ratio NOUN issue-469 163 20 within within ADP issue-469 163 21 leontief leontief ADJ issue-469 163 22 function function NOUN issue-469 163 23 : : PUNCT issue-469 164 1 y y PROPN issue-469 164 2 k k NOUN issue-469 164 3 c c X issue-469 164 4 l l NOUN issue-469 164 5 c c NOUN issue-469 164 6 = = SYM issue-469 164 7   PROPN issue-469 164 8   NOUN issue-469 164 9   NOUN issue-469 164 10   PROPN issue-469 164 11   PUNCT issue-469 165 1 min min PROPN issue-469 165 2 ; ; PUNCT issue-469 165 3 , , PUNCT issue-469 165 4 1 1 NUM issue-469 165 5 2 2 NUM issue-469 165 6 ( ( PUNCT issue-469 165 7 26 26 NUM issue-469 165 8 ) ) PUNCT issue-469 165 9 where where SCONJ issue-469 165 10 c1 c1 PROPN issue-469 165 11 – – PUNCT issue-469 165 12 the the DET issue-469 165 13 capacity capacity NOUN issue-469 165 14 of of ADP issue-469 165 15 the the DET issue-469 165 16 production production NOUN issue-469 165 17 unit unit NOUN issue-469 165 18 ( ( PUNCT issue-469 165 19 0 0 PUNCT issue-469 165 20 < < X issue-469 165 21 c1 c1 PROPN issue-469 165 22 ) ) PUNCT issue-469 165 23 ; ; PUNCT issue-469 165 24 c2 c2 PROPN issue-469 165 25 – – PUNCT issue-469 165 26 the the DET issue-469 165 27 complexity complexity NOUN issue-469 165 28 of of ADP issue-469 165 29 the the DET issue-469 165 30 production production NOUN issue-469 165 31 unit unit NOUN issue-469 165 32 ( ( PUNCT issue-469 165 33 0 0 PUNCT issue-469 165 34 < < X issue-469 165 35 c2 c2 PROPN issue-469 165 36 ) ) PUNCT issue-469 165 37 . . PUNCT issue-469 166 1 pf pf PROPN issue-469 166 2 ( ( PUNCT issue-469 166 3 26 26 NUM issue-469 166 4 ) ) PUNCT issue-469 166 5 also also ADV issue-469 166 6 does do AUX issue-469 166 7 not not PART issue-469 166 8 belong belong VERB issue-469 166 9 to to ADP issue-469 166 10 the the DET issue-469 166 11 neoclassical neoclassical NOUN issue-469 166 12 because because SCONJ issue-469 166 13 it it PRON issue-469 166 14 is be AUX issue-469 166 15 not not PART issue-469 166 16 twice twice ADV issue-469 166 17 differentiated differentiate VERB issue-469 166 18 . . PUNCT issue-469 167 1 moreover moreover ADV issue-469 167 2 , , PUNCT issue-469 167 3 it it PRON issue-469 167 4 is be AUX issue-469 167 5 a a DET issue-469 167 6 function function NOUN issue-469 167 7 with with ADP issue-469 167 8 zero zero NUM issue-469 167 9 substitution substitution NOUN issue-469 167 10 of of ADP issue-469 167 11 factors factor NOUN issue-469 167 12 ( ( PUNCT issue-469 167 13 σlk σlk X issue-469 167 14 = = SYM issue-469 167 15 0 0 NUM issue-469 167 16 ) ) PUNCT issue-469 167 17 , , PUNCT issue-469 167 18 and and CCONJ issue-469 167 19 its its PRON issue-469 167 20 isoquants isoquant NOUN issue-469 167 21 are be AUX issue-469 167 22 perpendicular perpendicular ADJ issue-469 167 23 beams beam NOUN issue-469 167 24 ( ( PUNCT issue-469 167 25 fig fig NOUN issue-469 167 26 . . PUNCT issue-469 168 1 3 3 NUM issue-469 168 2 ) ) PUNCT issue-469 168 3 . . PUNCT issue-469 169 1 consequently consequently ADV issue-469 169 2 , , PUNCT issue-469 169 3 the the DET issue-469 169 4 principle principle NOUN issue-469 169 5 of of ADP issue-469 169 6 equal equal ADJ issue-469 169 7 margin margin NOUN issue-469 169 8 of of ADP issue-469 169 9 determining determine VERB issue-469 169 10 the the DET issue-469 169 11 optimal optimal ADJ issue-469 169 12 capital capital NOUN issue-469 169 13 - - PUNCT issue-469 169 14 labour labour NOUN issue-469 169 15 ratio ratio NOUN issue-469 169 16 within within ADP issue-469 169 17 the the DET issue-469 169 18 leontief leontief ADJ issue-469 169 19 pf pf NOUN issue-469 169 20 does do AUX issue-469 169 21 not not PART issue-469 169 22 work work VERB issue-469 169 23 since since SCONJ issue-469 169 24 for for ADP issue-469 169 25 it it PRON issue-469 169 26 the the DET issue-469 169 27 marginal marginal ADJ issue-469 169 28 products product NOUN issue-469 169 29 of of ADP issue-469 169 30 the the DET issue-469 169 31 factors factor NOUN issue-469 169 32 k k NOUN issue-469 169 33 , , PUNCT issue-469 169 34 l l NOUN issue-469 169 35 are be AUX issue-469 169 36 zero zero NUM issue-469 169 37 and and CCONJ issue-469 169 38 the the DET issue-469 169 39 marginal marginal ADJ issue-469 169 40 rate rate NOUN issue-469 169 41 of of ADP issue-469 169 42 substitution substitution NOUN issue-469 169 43 is be AUX issue-469 169 44 the the DET issue-469 169 45 uncertainty uncertainty NOUN issue-469 169 46 of of ADP issue-469 169 47 type type NOUN issue-469 169 48 0/0 0/0 NUM issue-469 169 49 . . PUNCT issue-469 170 1 meanwhile meanwhile ADV issue-469 170 2 , , PUNCT issue-469 170 3 by by ADP issue-469 170 4 performing perform VERB issue-469 170 5 a a DET issue-469 170 6 mathematical mathematical ADJ issue-469 170 7 analysis analysis NOUN issue-469 170 8 of of ADP issue-469 170 9 leontief leontief ADJ issue-469 170 10 pf pf NOUN issue-469 170 11 on on ADP issue-469 170 12 the the DET issue-469 170 13 criterion criterion NOUN issue-469 170 14 of of ADP issue-469 170 15 “ " PUNCT issue-469 170 16 maximum maximum ADJ issue-469 170 17 output output NOUN issue-469 170 18 ” " PUNCT issue-469 170 19 it it PRON issue-469 170 20 is be AUX issue-469 170 21 easy easy ADJ issue-469 170 22 to to PART issue-469 170 23 show show VERB issue-469 170 24 that that SCONJ issue-469 170 25 its its PRON issue-469 170 26 optimal optimal ADJ issue-469 170 27 capital capital NOUN issue-469 170 28 stock stock NOUN issue-469 170 29 is be AUX issue-469 170 30 on on ADP issue-469 170 31 the the DET issue-469 170 32 beam beam NOUN issue-469 170 33 0e 0e X issue-469 170 34 ( ( PUNCT issue-469 170 35 fig fig NOUN issue-469 170 36 . . PUNCT issue-469 171 1 3 3 NUM issue-469 171 2 ): ): PUNCT issue-469 171 3 k k PROPN issue-469 171 4 l l PUNCT issue-469 171 5 c c NOUN issue-469 171 6 c c NOUN issue-469 171 7 1 1 NUM issue-469 171 8 1 1 NUM issue-469 171 9 1 1 NUM issue-469 171 10 2 2 NUM issue-469 171 11 = = PUNCT issue-469 171 12 . . PUNCT issue-469 172 1 ( ( PUNCT issue-469 172 2 27 27 NUM issue-469 172 3 ) ) PUNCT issue-469 172 4 the the DET issue-469 172 5 maximum maximum ADJ issue-469 172 6 output output NOUN issue-469 172 7 at at ADP issue-469 172 8 given give VERB issue-469 172 9 costs cost NOUN issue-469 172 10 c1 c1 NOUN issue-469 172 11 at at ADP issue-469 172 12 this this DET issue-469 172 13 point point NOUN issue-469 172 14 is be AUX issue-469 172 15 ymax ymax ADJ issue-469 172 16 = = SYM issue-469 172 17 c1/(c1 c1/(c1 PROPN issue-469 172 18 + + CCONJ issue-469 172 19 c2 c2 PROPN issue-469 172 20 ) ) PUNCT issue-469 172 21 . . PUNCT issue-469 173 1 k k X issue-469 174 1 l l PUNCT issue-469 174 2 c c NOUN issue-469 174 3 c c NOUN issue-469 174 4 = = SYM issue-469 174 5 1 1 NUM issue-469 174 6 2 2 NUM issue-469 174 7 7 7 NUM issue-469 174 8 . . PUNCT issue-469 174 9 practical practical ADJ issue-469 174 10 application application NOUN issue-469 174 11 of of ADP issue-469 174 12 the the DET issue-469 174 13 obtained obtain VERB issue-469 174 14 theoretical theoretical ADJ issue-469 174 15 results result NOUN issue-469 174 16 approval approval NOUN issue-469 174 17 of of ADP issue-469 174 18 the the DET issue-469 174 19 obtained obtain VERB issue-469 174 20 theoretical theoretical ADJ issue-469 174 21 results result NOUN issue-469 174 22 can can AUX issue-469 174 23 be be AUX issue-469 174 24 carried carry VERB issue-469 174 25 out out ADP issue-469 174 26 according accord VERB issue-469 174 27 to to ADP issue-469 174 28 the the DET issue-469 174 29 data datum NOUN issue-469 174 30 of of ADP issue-469 174 31 machine machine NOUN issue-469 174 32 building building NOUN issue-469 174 33 of of ADP issue-469 174 34 ukraine ukraine NOUN issue-469 174 35 for for ADP issue-469 174 36 2007–2015 2007–2015 NUM issue-469 174 37 ( ( PUNCT issue-469 174 38 table table NOUN issue-469 174 39 1 1 NUM issue-469 174 40 ) ) PUNCT issue-469 174 41 . . PUNCT issue-469 175 1 as as ADP issue-469 175 2 a a DET issue-469 175 3 productive productive ADJ issue-469 175 4 variable variable NOUN issue-469 175 5 , , PUNCT issue-469 175 6 y y PROPN issue-469 175 7 was be AUX issue-469 175 8 considered consider VERB issue-469 175 9 the the DET issue-469 175 10 realized realize VERB issue-469 175 11 production production NOUN issue-469 175 12 of of ADP issue-469 175 13 the the DET issue-469 175 14 industry industry NOUN issue-469 175 15 , , PUNCT issue-469 175 16 and and CCONJ issue-469 175 17 as as ADP issue-469 175 18 production production NOUN issue-469 175 19 factors factor NOUN issue-469 175 20 : : PUNCT issue-469 175 21 k k X issue-469 175 22 – – PUNCT issue-469 175 23 the the DET issue-469 175 24 residual residual ADJ issue-469 175 25 value value NOUN issue-469 175 26 ( ( PUNCT issue-469 175 27 without without ADP issue-469 175 28 depreciation depreciation NOUN issue-469 175 29 ) ) PUNCT issue-469 175 30 of of ADP issue-469 175 31 the the DET issue-469 175 32 main main ADJ issue-469 175 33 productive productive ADJ issue-469 175 34 assets asset NOUN issue-469 175 35 , , PUNCT issue-469 175 36 l l NOUN issue-469 175 37 – – PUNCT issue-469 175 38 labour labour NOUN issue-469 175 39 costs cost NOUN issue-469 175 40 , , PUNCT issue-469 175 41 t t PROPN issue-469 175 42 is be AUX issue-469 175 43 the the DET issue-469 175 44 factor factor NOUN issue-469 175 45 of of ADP issue-469 175 46 time time NOUN issue-469 175 47 . . PUNCT issue-469 176 1 in in ADP issue-469 176 2 modelling model VERB issue-469 176 3 the the DET issue-469 176 4 indices index NOUN issue-469 176 5 of of ADP issue-469 176 6 the the DET issue-469 176 7 engineering engineering NOUN issue-469 176 8 industry industry NOUN issue-469 176 9 , , PUNCT issue-469 176 10 a a DET issue-469 176 11 dynamized dynamize VERB issue-469 176 12 linear linear NOUN issue-469 176 13 function function NOUN issue-469 176 14 ( ( PUNCT issue-469 176 15 24 24 NUM issue-469 176 16 ) ) PUNCT issue-469 176 17 was be AUX issue-469 176 18 used use VERB issue-469 176 19 , , PUNCT issue-469 176 20 but but CCONJ issue-469 176 21 its its PRON issue-469 176 22 accuracy accuracy NOUN issue-469 176 23 ( ( PUNCT issue-469 176 24 r2 r2 PROPN issue-469 176 25 = = SYM issue-469 176 26 0.480 0.480 NUM issue-469 176 27 ) ) PUNCT issue-469 176 28 was be AUX issue-469 176 29 not not PART issue-469 176 30 the the DET issue-469 176 31 highest high ADJ issue-469 176 32 . . PUNCT issue-469 177 1 the the DET issue-469 177 2 parameters parameter NOUN issue-469 177 3 of of ADP issue-469 177 4 the the DET issue-469 177 5 dynamized dynamize VERB issue-469 177 6 ces ces X issue-469 177 7 function function NOUN issue-469 177 8 ( ( PUNCT issue-469 177 9 19 19 NUM issue-469 177 10 ) ) PUNCT issue-469 177 11 found find VERB issue-469 177 12 at at ADP issue-469 177 13 the the DET issue-469 177 14 third third ADJ issue-469 177 15 iteration iteration NOUN issue-469 177 16 were be AUX issue-469 177 17 in in ADP issue-469 177 18 general general ADJ issue-469 177 19 contradictory contradictory ADJ issue-469 177 20 to to ADP issue-469 177 21 the the DET issue-469 177 22 economic economic ADJ issue-469 177 23 content content NOUN issue-469 177 24 . . PUNCT issue-469 178 1 it it PRON issue-469 178 2 turned turn VERB issue-469 178 3 out out ADP issue-469 178 4 that that SCONJ issue-469 178 5 the the DET issue-469 178 6 dynamized dynamize VERB issue-469 178 7 cobb cobb PROPN issue-469 178 8 - - PUNCT issue-469 178 9 douglas douglas PROPN issue-469 178 10 production production NOUN issue-469 178 11 function function NOUN issue-469 178 12 ( ( PUNCT issue-469 178 13 the the DET issue-469 178 14 figure figure NOUN issue-469 178 15 2 2 NUM issue-469 178 16 . . PUNCT issue-469 178 17 determination determination NOUN issue-469 178 18 of of ADP issue-469 178 19 the the DET issue-469 178 20 set set NOUN issue-469 178 21 of of ADP issue-469 178 22 optimal optimal ADJ issue-469 178 23 points point NOUN issue-469 178 24 on on ADP issue-469 178 25 the the DET issue-469 178 26 isoquant isoquant NOUN issue-469 178 27 and and CCONJ issue-469 178 28 isocost isocost ADJ issue-469 178 29 map map NOUN issue-469 178 30 for for ADP issue-469 178 31 a a DET issue-469 178 32 linear linear ADJ issue-469 178 33 two two NUM issue-469 178 34 - - PUNCT issue-469 178 35 factor factor NOUN issue-469 178 36 pf pf NOUN issue-469 178 37 with with ADP issue-469 178 38 infinite infinite ADJ issue-469 178 39 substitution substitution NOUN issue-469 178 40 ( ( PUNCT issue-469 178 41 y3 y3 NOUN issue-469 178 42 > > X issue-469 178 43 y2 y2 PROPN issue-469 178 44 > > X issue-469 178 45 y1 y1 PROPN issue-469 178 46 ) ) PUNCT issue-469 178 47 source source NOUN issue-469 178 48 : : PUNCT issue-469 178 49 built build VERB issue-469 178 50 by by ADP issue-469 178 51 the the DET issue-469 178 52 authors author NOUN issue-469 178 53 a a DET issue-469 178 54 k k PROPN issue-469 178 55 y3 y3 NOUN issue-469 178 56 y2 y2 PROPN issue-469 178 57 y1 y1 PROPN issue-469 178 58 lb0 lb0 VERB issue-469 178 59 baltic baltic ADJ issue-469 178 60 journal journal PROPN issue-469 178 61 of of ADP issue-469 178 62 economic economic ADJ issue-469 178 63 studies study NOUN issue-469 178 64 377 377 NUM issue-469 178 65 vol vol NOUN issue-469 178 66 . . PROPN issue-469 179 1 4 4 NUM issue-469 179 2 , , PUNCT issue-469 179 3 no no INTJ issue-469 179 4 . . NOUN issue-469 179 5 3 3 NUM issue-469 179 6 , , PUNCT issue-469 179 7 2018 2018 NUM issue-469 179 8 so so ADV issue-469 179 9 - - PUNCT issue-469 179 10 called call VERB issue-469 179 11 cobb cobb PROPN issue-469 179 12 - - PUNCT issue-469 179 13 douglas douglas PROPN issue-469 179 14 - - PUNCT issue-469 179 15 tinbergen tinbergen NOUN issue-469 179 16 function function NOUN issue-469 179 17 ) ) PUNCT issue-469 179 18 provides provide VERB issue-469 179 19 the the DET issue-469 179 20 most most ADV issue-469 179 21 accurate accurate ADJ issue-469 179 22 results result NOUN issue-469 179 23 of of ADP issue-469 179 24 approximating approximate VERB issue-469 179 25 the the DET issue-469 179 26 initial initial ADJ issue-469 179 27 information information NOUN issue-469 179 28 ( ( PUNCT issue-469 179 29 r2 r2 PROPN issue-469 179 30 = = PUNCT issue-469 179 31 0.524 0.524 NUM issue-469 179 32 ) ) PUNCT issue-469 179 33 . . PUNCT issue-469 180 1 thus thus ADV issue-469 180 2 , , PUNCT issue-469 180 3 by by ADP issue-469 180 4 logging log VERB issue-469 180 5 the the DET issue-469 180 6 data datum NOUN issue-469 180 7 of of ADP issue-469 180 8 table table NOUN issue-469 180 9 1 1 NUM issue-469 180 10 and and CCONJ issue-469 180 11 using use VERB issue-469 180 12 the the DET issue-469 180 13 standard standard ADJ issue-469 180 14 excel excel PROPN issue-469 180 15 regression regression NOUN issue-469 180 16 program program NOUN issue-469 180 17 , , PUNCT issue-469 180 18 the the DET issue-469 180 19 following follow VERB issue-469 180 20 equation equation NOUN issue-469 180 21 was be AUX issue-469 180 22 obtained obtain VERB issue-469 180 23 : : PUNCT issue-469 180 24 y y PROPN issue-469 180 25 e e PROPN issue-469 180 26 k k PROPN issue-469 181 1 lt= lt= PROPN issue-469 181 2 −0 −0 VERB issue-469 181 3 4978 4978 NUM issue-469 181 4 0 0 NUM issue-469 182 1 046 046 NUM issue-469 182 2 0 0 NUM issue-469 182 3 1115 1115 NUM issue-469 182 4 1 1 NUM issue-469 182 5 1802 1802 NUM issue-469 182 6 , , PUNCT issue-469 182 7 . . PUNCT issue-469 183 1 , , PUNCT issue-469 183 2 , , PUNCT issue-469 183 3 , , PUNCT issue-469 183 4 ( ( PUNCT issue-469 183 5 28 28 NUM issue-469 183 6 ) ) PUNCT issue-469 183 7 model model NOUN issue-469 183 8 ( ( PUNCT issue-469 183 9 28 28 NUM issue-469 183 10 ) ) PUNCT issue-469 183 11 relatively relatively ADV issue-469 183 12 accurately accurately ADV issue-469 183 13 describes describe VERB issue-469 183 14 the the DET issue-469 183 15 dynamics dynamic NOUN issue-469 183 16 of of ADP issue-469 183 17 the the DET issue-469 183 18 industry industry NOUN issue-469 183 19 ’s ’s PART issue-469 183 20 products product NOUN issue-469 183 21 sold sell VERB issue-469 183 22 during during ADP issue-469 183 23 the the DET issue-469 183 24 period period NOUN issue-469 183 25 under under ADP issue-469 183 26 study study NOUN issue-469 183 27 : : PUNCT issue-469 183 28 the the DET issue-469 183 29 determination determination NOUN issue-469 183 30 coefficient coefficient NOUN issue-469 183 31 indicates indicate VERB issue-469 183 32 that that SCONJ issue-469 183 33 more more ADJ issue-469 183 34 than than ADP issue-469 183 35 52 52 NUM issue-469 183 36 % % NOUN issue-469 183 37 of of ADP issue-469 183 38 the the DET issue-469 183 39 variation variation NOUN issue-469 183 40 of of ADP issue-469 183 41 y y PROPN issue-469 183 42 is be AUX issue-469 183 43 due due ADJ issue-469 183 44 to to ADP issue-469 183 45 three three NUM issue-469 183 46 factors factor NOUN issue-469 183 47 of of ADP issue-469 183 48 the the DET issue-469 183 49 cobb cobb PROPN issue-469 183 50 - - PUNCT issue-469 183 51 douglas douglas PROPN issue-469 183 52 - - PUNCT issue-469 183 53 tinbergen tinbergen NOUN issue-469 183 54 function function NOUN issue-469 183 55 . . PUNCT issue-469 184 1 the the DET issue-469 184 2 average average ADJ issue-469 184 3 absolute absolute ADJ issue-469 184 4 error error NOUN issue-469 184 5 of of ADP issue-469 184 6 the the DET issue-469 184 7 equation equation NOUN issue-469 184 8 is be AUX issue-469 184 9 0.138 0.138 NUM issue-469 184 10 million million NUM issue-469 184 11 uah uah NOUN issue-469 184 12 . . PUNCT issue-469 185 1 the the DET issue-469 185 2 elasticity elasticity NOUN issue-469 185 3 coefficients coefficient VERB issue-469 185 4 α α PROPN issue-469 185 5 and and CCONJ issue-469 185 6 β β X issue-469 185 7 of of ADP issue-469 185 8 the the DET issue-469 185 9 model model NOUN issue-469 185 10 ( ( PUNCT issue-469 185 11 28 28 NUM issue-469 185 12 ) ) PUNCT issue-469 185 13 show show VERB issue-469 185 14 that that SCONJ issue-469 185 15 in in ADP issue-469 185 16 2007–2015 2007–2015 NUM issue-469 185 17 , , PUNCT issue-469 185 18 the the DET issue-469 185 19 increase increase NOUN issue-469 185 20 in in ADP issue-469 185 21 capital capital NOUN issue-469 185 22 expenditure expenditure NOUN issue-469 185 23 on on ADP issue-469 185 24 basic basic ADJ issue-469 185 25 production production NOUN issue-469 185 26 assets asset NOUN issue-469 185 27 by by ADP issue-469 185 28 1 1 NUM issue-469 185 29 % % NOUN issue-469 185 30 entailed entail VERB issue-469 185 31 an an DET issue-469 185 32 increase increase NOUN issue-469 185 33 in in ADP issue-469 185 34 the the DET issue-469 185 35 volume volume NOUN issue-469 185 36 of of ADP issue-469 185 37 sales sale NOUN issue-469 185 38 for for ADP issue-469 185 39 the the DET issue-469 185 40 year year NOUN issue-469 185 41 by by ADP issue-469 185 42 an an DET issue-469 185 43 average average NOUN issue-469 185 44 of of ADP issue-469 185 45 only only ADV issue-469 185 46 0.1 0.1 NUM issue-469 185 47 % % NOUN issue-469 185 48 , , PUNCT issue-469 185 49 while while SCONJ issue-469 185 50 an an DET issue-469 185 51 increase increase NOUN issue-469 185 52 in in ADP issue-469 185 53 labour labour ADJ issue-469 185 54 costs cost NOUN issue-469 185 55 by by ADP issue-469 185 56 1 1 NUM issue-469 185 57 % % NOUN issue-469 185 58 caused cause VERB issue-469 185 59 an an DET issue-469 185 60 increase increase NOUN issue-469 185 61 in in ADP issue-469 185 62 sales sale NOUN issue-469 185 63 by by ADP issue-469 185 64 almost almost ADV issue-469 185 65 1.2 1.2 NUM issue-469 185 66 % % NOUN issue-469 185 67 . . PUNCT issue-469 186 1 this this PRON issue-469 186 2 indicates indicate VERB issue-469 186 3 a a DET issue-469 186 4 certain certain ADJ issue-469 186 5 relative relative ADJ issue-469 186 6 redundancy redundancy NOUN issue-469 186 7 of of ADP issue-469 186 8 the the DET issue-469 186 9 resource resource NOUN issue-469 186 10 k k PROPN issue-469 186 11 in in ADP issue-469 186 12 comparison comparison NOUN issue-469 186 13 with with ADP issue-469 186 14 the the DET issue-469 186 15 resource resource NOUN issue-469 186 16 l. l. NOUN issue-469 186 17 the the DET issue-469 186 18 negative negative ADJ issue-469 186 19 growth growth NOUN issue-469 186 20 rate rate NOUN issue-469 186 21 of of ADP issue-469 186 22 the the DET issue-469 186 23 neutral neutral ADJ issue-469 186 24 scientific scientific ADJ issue-469 186 25 and and CCONJ issue-469 186 26 technical technical ADJ issue-469 186 27 progress progress NOUN issue-469 186 28 indicates indicate VERB issue-469 186 29 that that SCONJ issue-469 186 30 in in ADP issue-469 186 31 the the DET issue-469 186 32 engineering engineering NOUN issue-469 186 33 industry industry NOUN issue-469 186 34 of of ADP issue-469 186 35 ukraine ukraine NOUN issue-469 186 36 in in ADP issue-469 186 37 the the DET issue-469 186 38 period period NOUN issue-469 186 39 under under ADP issue-469 186 40 review review NOUN issue-469 186 41 , , PUNCT issue-469 186 42 the the DET issue-469 186 43 realization realization NOUN issue-469 186 44 decreased decrease VERB issue-469 186 45 on on ADP issue-469 186 46 average average ADJ issue-469 186 47 by by ADP issue-469 186 48 4.6 4.6 NUM issue-469 186 49 % % NOUN issue-469 186 50 during during ADP issue-469 186 51 the the DET issue-469 186 52 year year NOUN issue-469 186 53 under under ADP issue-469 186 54 the the DET issue-469 186 55 influence influence NOUN issue-469 186 56 of of ADP issue-469 186 57 all all DET issue-469 186 58 factors factor NOUN issue-469 186 59 except except SCONJ issue-469 186 60 changes change NOUN issue-469 186 61 in in ADP issue-469 186 62 the the DET issue-469 186 63 costs cost NOUN issue-469 186 64 of of ADP issue-469 186 65 fixed fix VERB issue-469 186 66 assets asset NOUN issue-469 186 67 and and CCONJ issue-469 186 68 labour labour NOUN issue-469 186 69 . . PUNCT issue-469 187 1 based base VERB issue-469 187 2 on on ADP issue-469 187 3 the the DET issue-469 187 4 data datum NOUN issue-469 187 5 of of ADP issue-469 187 6 table table NOUN issue-469 187 7 1 1 NUM issue-469 187 8 , , PUNCT issue-469 187 9 there there PRON issue-469 187 10 was be VERB issue-469 187 11 calculated calculate VERB issue-469 187 12 the the DET issue-469 187 13 marginal marginal ADJ issue-469 187 14 rate rate NOUN issue-469 187 15 of of ADP issue-469 187 16 replacement replacement NOUN issue-469 187 17 of of ADP issue-469 187 18 mrslk mrslk NOUN issue-469 187 19 in in ADP issue-469 187 20 the the DET issue-469 187 21 industry industry NOUN issue-469 187 22 for for ADP issue-469 187 23 each each DET issue-469 187 24 year year NOUN issue-469 187 25 of of ADP issue-469 187 26 the the DET issue-469 187 27 period period NOUN issue-469 187 28 under under ADP issue-469 187 29 study study NOUN issue-469 187 30 ( ( PUNCT issue-469 187 31 table table NOUN issue-469 187 32 2 2 NUM issue-469 187 33 ) ) PUNCT issue-469 187 34 , , PUNCT issue-469 187 35 taking take VERB issue-469 187 36 into into ADP issue-469 187 37 account account NOUN issue-469 187 38 the the DET issue-469 187 39 fact fact NOUN issue-469 187 40 that that SCONJ issue-469 187 41 for for ADP issue-469 187 42 the the DET issue-469 187 43 cobb cobb PROPN issue-469 187 44 - - PUNCT issue-469 187 45 douglas douglas PROPN issue-469 187 46 - - PUNCT issue-469 187 47 tinbergen tinbergen NOUN issue-469 187 48 production production NOUN issue-469 187 49 function function NOUN issue-469 187 50 it it PRON issue-469 187 51 is be AUX issue-469 187 52 determined determine VERB issue-469 187 53 by by ADP issue-469 187 54 the the DET issue-469 187 55 formula formula NOUN issue-469 187 56 ( ( PUNCT issue-469 187 57 29 29 NUM issue-469 187 58 ) ) PUNCT issue-469 187 59 as as SCONJ issue-469 187 60 it it PRON issue-469 187 61 was be AUX issue-469 187 62 shown show VERB issue-469 187 63 earlier early ADV issue-469 187 64 , , PUNCT issue-469 187 65 under under ADP issue-469 187 66 the the DET issue-469 187 67 conditions condition NOUN issue-469 187 68 of of ADP issue-469 187 69 optimal optimal ADJ issue-469 187 70 stock stock NOUN issue-469 187 71 - - PUNCT issue-469 187 72 endowment endowment NOUN issue-469 187 73 , , PUNCT issue-469 187 74 the the DET issue-469 187 75 marginal marginal ADJ issue-469 187 76 rate rate NOUN issue-469 187 77 of of ADP issue-469 187 78 substitution substitution NOUN issue-469 187 79 of of ADP issue-469 187 80 mrslk mrslk NOUN issue-469 187 81 for for ADP issue-469 187 82 any any DET issue-469 187 83 substitutional substitutional ADJ issue-469 187 84 production production NOUN issue-469 187 85 function function NOUN issue-469 187 86 is be AUX issue-469 187 87 equal equal ADJ issue-469 187 88 to to ADP issue-469 187 89 one one NUM issue-469 187 90 . . PUNCT issue-469 188 1 let let VERB issue-469 188 2 the the DET issue-469 188 3 actual actual ADJ issue-469 188 4 marginal marginal ADJ issue-469 188 5 rate rate NOUN issue-469 188 6 of of ADP issue-469 188 7 substitution substitution NOUN issue-469 188 8 of of ADP issue-469 188 9 the the DET issue-469 188 10 production production NOUN issue-469 188 11 function function NOUN issue-469 188 12 of of ADP issue-469 188 13 machine machine NOUN issue-469 188 14 building building NOUN issue-469 188 15 differ differ VERB issue-469 188 16 from from ADP issue-469 188 17 unity unity NOUN issue-469 188 18 , , PUNCT issue-469 188 19 and and CCONJ issue-469 188 20 then then ADV issue-469 188 21 two two NUM issue-469 188 22 cases case NOUN issue-469 188 23 are be AUX issue-469 188 24 possible possible ADJ issue-469 188 25 : : PUNCT issue-469 188 26 1 1 X issue-469 188 27 ) ) PUNCT issue-469 188 28 mrslk mrslk NOUN issue-469 188 29 > > X issue-469 188 30 1 1 NUM issue-469 188 31 ; ; PUNCT issue-469 188 32 2 2 X issue-469 188 33 ) ) PUNCT issue-469 188 34 mrslk mrslk NOUN issue-469 188 35 < < X issue-469 188 36 1 1 NUM issue-469 188 37 . . PUNCT issue-469 188 38 table table NOUN issue-469 188 39 1 1 NUM issue-469 188 40 initial initial ADJ issue-469 188 41 data datum NOUN issue-469 188 42 for for ADP issue-469 188 43 modelling model VERB issue-469 188 44 the the DET issue-469 188 45 dependence dependence NOUN issue-469 188 46 of of ADP issue-469 188 47 the the DET issue-469 188 48 sales sale NOUN issue-469 188 49 of of ADP issue-469 188 50 machine machine NOUN issue-469 188 51 - - PUNCT issue-469 188 52 building building NOUN issue-469 188 53 products product NOUN issue-469 188 54 of of ADP issue-469 188 55 ukraine ukraine NOUN issue-469 188 56 on on ADP issue-469 188 57 the the DET issue-469 188 58 main main ADJ issue-469 188 59 production production NOUN issue-469 188 60 factors factor NOUN issue-469 188 61 years year NOUN issue-469 188 62 y y PROPN issue-469 188 63 ( ( PUNCT issue-469 188 64 mln mln X issue-469 188 65 . . PUNCT issue-469 189 1 uah uah PROPN issue-469 189 2 . . PUNCT issue-469 189 3 ) ) PUNCT issue-469 190 1 k k X issue-469 190 2 , , PUNCT issue-469 190 3 ( ( PUNCT issue-469 190 4 mln mln X issue-469 190 5 . . PUNCT issue-469 190 6 uah uah ADJ issue-469 190 7 ) ) PUNCT issue-469 190 8 l l NOUN issue-469 190 9 , , PUNCT issue-469 190 10 ( ( PUNCT issue-469 190 11 mln mln X issue-469 190 12 . . PUNCT issue-469 190 13 uah uah PROPN issue-469 190 14 t t PROPN issue-469 190 15 k k PROPN issue-469 190 16 / / SYM issue-469 190 17 l l PROPN issue-469 190 18 ( ( PUNCT issue-469 190 19 uah/ uah/ NOUN issue-469 190 20 uah uah PROPN issue-469 190 21 . . PUNCT issue-469 190 22 ) ) PUNCT issue-469 191 1 2007 2007 NUM issue-469 191 2 98339,9 98339,9 NUM issue-469 191 3 27854 27854 NUM issue-469 191 4 11834,3 11834,3 NUM issue-469 191 5 1 1 NUM issue-469 191 6 2,354 2,354 NUM issue-469 191 7 2008 2008 NUM issue-469 191 8 121780,4 121780,4 NUM issue-469 191 9 33489 33489 NUM issue-469 191 10 14748,5 14748,5 NUM issue-469 191 11 2 2 NUM issue-469 191 12 2,271 2,271 NUM issue-469 191 13 2009 2009 NUM issue-469 191 14 85833,0 85833,0 NUM issue-469 191 15 33475 33475 NUM issue-469 191 16 11874,1 11874,1 NUM issue-469 191 17 3 3 NUM issue-469 191 18 2,819 2,819 NUM issue-469 191 19 2010 2010 NUM issue-469 191 20 97056,9 97056,9 NUM issue-469 191 21 36075 36075 NUM issue-469 191 22 15689,2 15689,2 NUM issue-469 191 23 4 4 NUM issue-469 191 24 2,299 2,299 NUM issue-469 191 25 2011 2011 NUM issue-469 191 26 130847,9 130847,9 NUM issue-469 191 27 40417 40417 NUM issue-469 191 28 15196,1 15196,1 NUM issue-469 191 29 5 5 NUM issue-469 191 30 2,660 2,660 NUM issue-469 191 31 2012 2012 NUM issue-469 191 32 140539,3 140539,3 NUM issue-469 191 33 43642 43642 NUM issue-469 191 34 17025,2 17025,2 NUM issue-469 191 35 6 6 NUM issue-469 191 36 2,563 2,563 NUM issue-469 191 37 2013 2013 NUM issue-469 191 38 113926,6 113926,6 NUM issue-469 191 39 47268 47268 NUM issue-469 191 40 17242,9 17242,9 NUM issue-469 191 41 7 7 NUM issue-469 191 42 2,741 2,741 NUM issue-469 191 43 2014 2014 NUM issue-469 191 44 101924,7 101924,7 NOUN issue-469 191 45 45894 45894 NUM issue-469 191 46 16092,9 16092,9 NUM issue-469 191 47 8 8 NUM issue-469 191 48 2,852 2,852 NUM issue-469 191 49 2015 2015 NUM issue-469 191 50 115261,7 115261,7 NUM issue-469 191 51 84052 84052 NUM issue-469 191 52 17484,1 17484,1 NUM issue-469 191 53 9 9 NUM issue-469 191 54 4,807 4,807 NUM issue-469 191 55 source source NOUN issue-469 191 56 : : PUNCT issue-469 191 57 compiled compile VERB issue-469 191 58 by by ADP issue-469 191 59 the the DET issue-469 191 60 authors author NOUN issue-469 191 61 by by ADP issue-469 191 62 state state NOUN issue-469 191 63 statistics statistic NOUN issue-469 191 64 service service NOUN issue-469 191 65 of of ADP issue-469 191 66 ukraine ukraine ADJ issue-469 191 67 figure figure NOUN issue-469 191 68 3 3 NUM issue-469 191 69 . . PUNCT issue-469 192 1 determination determination NOUN issue-469 192 2 of of ADP issue-469 192 3 the the DET issue-469 192 4 optimal optimal ADJ issue-469 192 5 point point NOUN issue-469 192 6 on on ADP issue-469 192 7 the the DET issue-469 192 8 isoquant isoquant NOUN issue-469 192 9 and and CCONJ issue-469 192 10 isocost isocost ADJ issue-469 192 11 map map NOUN issue-469 192 12 for for ADP issue-469 192 13 a a DET issue-469 192 14 two two NUM issue-469 192 15 - - PUNCT issue-469 192 16 factor factor NOUN issue-469 192 17 leontief leontief NOUN issue-469 192 18 pf pf NOUN issue-469 192 19 with with ADP issue-469 192 20 a a DET issue-469 192 21 zero zero NUM issue-469 192 22 substitution substitution NOUN issue-469 192 23 ( ( PUNCT issue-469 192 24 y3 y3 NOUN issue-469 192 25 > > X issue-469 192 26 y2 y2 PROPN issue-469 192 27 > > X issue-469 192 28 y1 y1 PROPN issue-469 192 29 ) ) PUNCT issue-469 192 30 . . PUNCT issue-469 193 1 source source NOUN issue-469 193 2 : : PUNCT issue-469 193 3 built build VERB issue-469 193 4 by by ADP issue-469 193 5 the the DET issue-469 193 6 authors author NOUN issue-469 193 7 2 2 NUM issue-469 193 8 1 1 NUM issue-469 193 9 c c NOUN issue-469 193 10 c c NOUN issue-469 193 11 l l NOUN issue-469 193 12 k k X issue-469 193 13 = = SYM issue-469 193 14 0 0 PROPN issue-469 193 15 lf lf X issue-469 193 16 y3y1 y3y1 PROPN issue-469 193 17 y2 y2 PROPN issue-469 193 18 d d PROPN issue-469 194 1 e e X issue-469 194 2 k k PROPN issue-469 194 3 baltic baltic PROPN issue-469 194 4 journal journal PROPN issue-469 194 5 of of ADP issue-469 194 6 economic economic ADJ issue-469 194 7 studies study NOUN issue-469 194 8 378 378 NUM issue-469 194 9 vol vol NOUN issue-469 194 10 . . PUNCT issue-469 195 1 4 4 NUM issue-469 195 2 , , PUNCT issue-469 195 3 no no INTJ issue-469 195 4 . . NOUN issue-469 195 5 3 3 NUM issue-469 195 6 , , PUNCT issue-469 195 7 2018 2018 NUM issue-469 195 8 table table NOUN issue-469 195 9 2 2 NUM issue-469 195 10 the the DET issue-469 195 11 marginal marginal ADJ issue-469 195 12 rate rate NOUN issue-469 195 13 of of ADP issue-469 195 14 substitution substitution NOUN issue-469 195 15 in in ADP issue-469 195 16 mechanical mechanical ADJ issue-469 195 17 engineering engineering NOUN issue-469 195 18 in in ADP issue-469 195 19 ukraine ukraine PROPN issue-469 195 20 years year NOUN issue-469 195 21 k k X issue-469 195 22 / / SYM issue-469 195 23 l l NOUN issue-469 195 24 mrslk mrslk NOUN issue-469 195 25 2007 2007 NUM issue-469 195 26 2,354 2,354 NUM issue-469 195 27 24,907 24,907 NUM issue-469 195 28 2008 2008 NUM issue-469 195 29 2,271 2,271 NUM issue-469 195 30 24,029 24,029 NUM issue-469 195 31 2009 2009 NUM issue-469 195 32 2,819 2,819 NUM issue-469 195 33 29,828 29,828 NUM issue-469 195 34 2010 2010 NUM issue-469 195 35 2,299 2,299 NUM issue-469 195 36 24,325 24,325 NUM issue-469 195 37 2011 2011 NUM issue-469 195 38 2,660 2,660 NUM issue-469 195 39 28,145 28,145 NUM issue-469 195 40 2012 2012 NUM issue-469 195 41 2,563 2,563 NUM issue-469 195 42 27,119 27,119 NUM issue-469 195 43 2013 2013 NUM issue-469 195 44 2,741 2,741 NUM issue-469 195 45 29,002 29,002 NUM issue-469 195 46 2014 2014 NUM issue-469 195 47 2,852 2,852 NUM issue-469 195 48 30,177 30,177 NUM issue-469 195 49 2015 2015 NUM issue-469 195 50 4,807 4,807 NUM issue-469 195 51 50,862 50,862 NUM issue-469 195 52 source source NOUN issue-469 195 53 : : PUNCT issue-469 195 54 compiled compile VERB issue-469 195 55 by by ADP issue-469 195 56 the the DET issue-469 195 57 authors author NOUN issue-469 195 58 on on ADP issue-469 195 59 the the DET issue-469 195 60 basis basis NOUN issue-469 195 61 of of ADP issue-469 195 62 the the DET issue-469 195 63 parameters parameter NOUN issue-469 195 64 of of ADP issue-469 195 65 the the DET issue-469 195 66 model model NOUN issue-469 195 67 ( ( PUNCT issue-469 195 68 28 28 NUM issue-469 195 69 ) ) PUNCT issue-469 195 70 , , PUNCT issue-469 195 71 we we PRON issue-469 195 72 calculate calculate VERB issue-469 195 73 the the DET issue-469 195 74 index index NOUN issue-469 195 75 of of ADP issue-469 195 76 the the DET issue-469 195 77 average average ADJ issue-469 195 78 optimal optimal ADJ issue-469 195 79 capital capital NOUN issue-469 195 80 - - PUNCT issue-469 195 81 labour labour NOUN issue-469 195 82 ratio ratio NOUN issue-469 195 83 in in ADP issue-469 195 84 the the DET issue-469 195 85 industry industry NOUN issue-469 195 86 for for ADP issue-469 195 87 2007–2015 2007–2015 NUM issue-469 195 88 by by ADP issue-469 195 89 the the DET issue-469 195 90 formula formula NOUN issue-469 195 91 ( ( PUNCT issue-469 195 92 13 13 NUM issue-469 195 93 ): ): PUNCT issue-469 195 94 k k PROPN issue-469 195 95 l l NOUN issue-469 195 96 1 1 NUM issue-469 195 97 1 1 NUM issue-469 195 98 0 0 NUM issue-469 195 99 1115 1115 NUM issue-469 195 100 1 1 NUM issue-469 195 101 1802 1802 NUM issue-469 195 102 0 0 NUM issue-469 195 103 0945= 0945= X issue-469 196 1 = = PUNCT issue-469 196 2 = = PUNCT issue-469 196 3 α α NUM issue-469 196 4 β β X issue-469 196 5 , , PUNCT issue-469 196 6 , , PUNCT issue-469 196 7 , , PUNCT issue-469 196 8 . . PUNCT issue-469 197 1 ( ( PUNCT issue-469 197 2 30 30 X issue-469 197 3 ) ) PUNCT issue-469 197 4 it it PRON issue-469 197 5 is be AUX issue-469 197 6 clear clear ADJ issue-469 197 7 that that SCONJ issue-469 197 8 these these DET issue-469 197 9 calculations calculation NOUN issue-469 197 10 have have VERB issue-469 197 11 an an DET issue-469 197 12 approximate approximate ADJ issue-469 197 13 , , PUNCT issue-469 197 14 evaluation evaluation NOUN issue-469 197 15 character character NOUN issue-469 197 16 . . PUNCT issue-469 198 1 they they PRON issue-469 198 2 will will AUX issue-469 198 3 acquire acquire VERB issue-469 198 4 greater great ADJ issue-469 198 5 validity validity NOUN issue-469 198 6 in in ADP issue-469 198 7 the the DET issue-469 198 8 case case NOUN issue-469 198 9 of of ADP issue-469 198 10 increasing increase VERB issue-469 198 11 the the DET issue-469 198 12 accuracy accuracy NOUN issue-469 198 13 of of ADP issue-469 198 14 the the DET issue-469 198 15 reference reference NOUN issue-469 198 16 model model NOUN issue-469 198 17 ( ( PUNCT issue-469 198 18 28 28 NUM issue-469 198 19 ) ) PUNCT issue-469 198 20 , , PUNCT issue-469 198 21 that that ADV issue-469 198 22 is is ADV issue-469 198 23 , , PUNCT issue-469 198 24 as as ADP issue-469 198 25 the the DET issue-469 198 26 condition condition NOUN issue-469 198 27 r2 r2 NOUN issue-469 198 28 → → SYM issue-469 198 29 1 1 NUM issue-469 198 30 is be AUX issue-469 198 31 satisfied satisfied ADJ issue-469 198 32 . . PUNCT issue-469 199 1 8 8 X issue-469 199 2 . . X issue-469 199 3 conclusion conclusion VERB issue-469 199 4 the the DET issue-469 199 5 development development NOUN issue-469 199 6 of of ADP issue-469 199 7 ideas idea NOUN issue-469 199 8 of of ADP issue-469 199 9 the the DET issue-469 199 10 principle principle NOUN issue-469 199 11 of of ADP issue-469 199 12 equal equal ADJ issue-469 199 13 margin margin NOUN issue-469 199 14 from from ADP issue-469 199 15 the the DET issue-469 199 16 theory theory NOUN issue-469 199 17 of of ADP issue-469 199 18 microeconomics microeconomics PROPN issue-469 199 19 and and CCONJ issue-469 199 20 examples example NOUN issue-469 199 21 of of ADP issue-469 199 22 determining determine VERB issue-469 199 23 the the DET issue-469 199 24 optimal optimal ADJ issue-469 199 25 capital capital NOUN issue-469 199 26 - - PUNCT issue-469 199 27 labour labour NOUN issue-469 199 28 ratio ratio NOUN issue-469 199 29 for for ADP issue-469 199 30 the the DET issue-469 199 31 pf pf PROPN issue-469 199 32 , , PUNCT issue-469 199 33 generalized generalize VERB issue-469 199 34 by by ADP issue-469 199 35 the the DET issue-469 199 36 ces ce NOUN issue-469 199 37 - - NOUN issue-469 199 38 function function NOUN issue-469 199 39 , , PUNCT issue-469 199 40 shows show VERB issue-469 199 41 the the DET issue-469 199 42 simplicity simplicity NOUN issue-469 199 43 and and CCONJ issue-469 199 44 effectiveness effectiveness NOUN issue-469 199 45 of of ADP issue-469 199 46 the the DET issue-469 199 47 proposed propose VERB issue-469 199 48 approach approach NOUN issue-469 199 49 to to ADP issue-469 199 50 the the DET issue-469 199 51 analysis analysis NOUN issue-469 199 52 of of ADP issue-469 199 53 extreme extreme ADJ issue-469 199 54 interrelations interrelation NOUN issue-469 199 55 between between ADP issue-469 199 56 output output NOUN issue-469 199 57 and and CCONJ issue-469 199 58 aggregate aggregate ADJ issue-469 199 59 production production NOUN issue-469 199 60 factors factor NOUN issue-469 199 61 . . PUNCT issue-469 200 1 an an DET issue-469 200 2 exception exception NOUN issue-469 200 3 is be AUX issue-469 200 4 a a DET issue-469 200 5 zerosubstitution zerosubstitution NOUN issue-469 200 6 pf pf NOUN issue-469 200 7 , , PUNCT issue-469 200 8 for for ADP issue-469 200 9 example example NOUN issue-469 200 10 , , PUNCT issue-469 200 11 the the DET issue-469 200 12 leontief leontief ADJ issue-469 200 13 function function NOUN issue-469 200 14 . . PUNCT issue-469 201 1 the the DET issue-469 201 2 use use NOUN issue-469 201 3 of of ADP issue-469 201 4 the the DET issue-469 201 5 proposed propose VERB issue-469 201 6 procedure procedure NOUN issue-469 201 7 for for ADP issue-469 201 8 determining determine VERB issue-469 201 9 the the DET issue-469 201 10 optimal optimal ADJ issue-469 201 11 capital capital NOUN issue-469 201 12 - - PUNCT issue-469 201 13 labour labour NOUN issue-469 201 14 ratio ratio NOUN issue-469 201 15 is be AUX issue-469 201 16 performed perform VERB issue-469 201 17 using use VERB issue-469 201 18 the the DET issue-469 201 19 example example NOUN issue-469 201 20 of of ADP issue-469 201 21 the the DET issue-469 201 22 cobb cobb PROPN issue-469 201 23 - - PUNCT issue-469 201 24 douglas douglas PROPN issue-469 201 25 - - PUNCT issue-469 201 26 tinbergen tinbergen NOUN issue-469 201 27 production production NOUN issue-469 201 28 function function NOUN issue-469 201 29 , , PUNCT issue-469 201 30 the the DET issue-469 201 31 dynamized dynamize VERB issue-469 201 32 ces ce NOUN issue-469 201 33 function function NOUN issue-469 201 34 , , PUNCT issue-469 201 35 and and CCONJ issue-469 201 36 the the DET issue-469 201 37 linear linear ADJ issue-469 201 38 function function NOUN issue-469 201 39 . . PUNCT issue-469 202 1 for for ADP issue-469 202 2 them they PRON issue-469 202 3 , , PUNCT issue-469 202 4 formulas formula NOUN issue-469 202 5 are be AUX issue-469 202 6 given give VERB issue-469 202 7 for for ADP issue-469 202 8 the the DET issue-469 202 9 optimal optimal ADJ issue-469 202 10 fund fund NOUN issue-469 202 11 - - PUNCT issue-469 202 12 raising raise VERB issue-469 202 13 ratio ratio NOUN issue-469 202 14 with with ADP issue-469 202 15 an an DET issue-469 202 16 indication indication NOUN issue-469 202 17 of of ADP issue-469 202 18 the the DET issue-469 202 19 extreme extreme ADJ issue-469 202 20 values value NOUN issue-469 202 21 of of ADP issue-469 202 22 output output NOUN issue-469 202 23 and and CCONJ issue-469 202 24 total total ADJ issue-469 202 25 capital capital NOUN issue-469 202 26 expenditure expenditure NOUN issue-469 202 27 on on ADP issue-469 202 28 basic basic ADJ issue-469 202 29 production production NOUN issue-469 202 30 assets asset NOUN issue-469 202 31 and and CCONJ issue-469 202 32 labour labour ADJ issue-469 202 33 remuneration remuneration NOUN issue-469 202 34 . . PUNCT issue-469 203 1 the the DET issue-469 203 2 obtained obtain VERB issue-469 203 3 theoretical theoretical ADJ issue-469 203 4 results result NOUN issue-469 203 5 are be AUX issue-469 203 6 tested test VERB issue-469 203 7 on on ADP issue-469 203 8 the the DET issue-469 203 9 data datum NOUN issue-469 203 10 of of ADP issue-469 203 11 machine machine NOUN issue-469 203 12 building building NOUN issue-469 203 13 of of ADP issue-469 203 14 ukraine ukraine NOUN issue-469 203 15 for for ADP issue-469 203 16 2007–2015 2007–2015 NUM issue-469 203 17 . . PUNCT issue-469 204 1 the the DET issue-469 204 2 built build VERB issue-469 204 3 econometric econometric ADJ issue-469 204 4 model model NOUN issue-469 204 5 allowed allow VERB issue-469 204 6 coming come VERB issue-469 204 7 to to ADP issue-469 204 8 a a DET issue-469 204 9 conclusion conclusion NOUN issue-469 204 10 about about ADP issue-469 204 11 the the DET issue-469 204 12 non non ADJ issue-469 204 13 - - ADJ issue-469 204 14 optimal optimal ADJ issue-469 204 15 funds fund NOUN issue-469 204 16 - - PUNCT issue-469 204 17 in in ADP issue-469 204 18 - - PUNCT issue-469 204 19 use use NOUN issue-469 204 20 in in ADP issue-469 204 21 terms term NOUN issue-469 204 22 of of ADP issue-469 204 23 sales sale NOUN issue-469 204 24 volumes volume NOUN issue-469 204 25 of of ADP issue-469 204 26 industrial industrial ADJ issue-469 204 27 products product NOUN issue-469 204 28 . . PUNCT issue-469 205 1 it it PRON issue-469 205 2 turns turn VERB issue-469 205 3 out out ADP issue-469 205 4 that that SCONJ issue-469 205 5 during during ADP issue-469 205 6 the the DET issue-469 205 7 analysed analyse VERB issue-469 205 8 period period NOUN issue-469 205 9 of of ADP issue-469 205 10 time time NOUN issue-469 205 11 , , PUNCT issue-469 205 12 the the DET issue-469 205 13 basic basic ADJ issue-469 205 14 production production NOUN issue-469 205 15 assets asset NOUN issue-469 205 16 were be AUX issue-469 205 17 relatively relatively ADV issue-469 205 18 abundant abundant ADJ issue-469 205 19 in in ADP issue-469 205 20 comparison comparison NOUN issue-469 205 21 with with ADP issue-469 205 22 the the DET issue-469 205 23 wages wage NOUN issue-469 205 24 of of ADP issue-469 205 25 workers worker NOUN issue-469 205 26 in in ADP issue-469 205 27 machine machine NOUN issue-469 205 28 building building NOUN issue-469 205 29 . . PUNCT issue-469 206 1 obviously obviously ADV issue-469 206 2 , , PUNCT issue-469 206 3 in in ADP issue-469 206 4 the the DET issue-469 206 5 ukrainian ukrainian ADJ issue-469 206 6 engineering engineering NOUN issue-469 206 7 industry industry NOUN issue-469 206 8 , , PUNCT issue-469 206 9 it it PRON issue-469 206 10 is be AUX issue-469 206 11 necessary necessary ADJ issue-469 206 12 to to PART issue-469 206 13 reduce reduce VERB issue-469 206 14 excess excess ADJ issue-469 206 15 technological technological ADJ issue-469 206 16 equipment equipment NOUN issue-469 206 17 or or CCONJ issue-469 206 18 to to PART issue-469 206 19 increase increase VERB issue-469 206 20 pay pay NOUN issue-469 206 21 by by ADP issue-469 206 22 attracting attract VERB issue-469 206 23 additional additional ADJ issue-469 206 24 workers worker NOUN issue-469 206 25 , , PUNCT issue-469 206 26 enhancing enhance VERB issue-469 206 27 their their PRON issue-469 206 28 material material NOUN issue-469 206 29 incentives incentive NOUN issue-469 206 30 . . PUNCT issue-469 207 1 this this PRON issue-469 207 2 will will AUX issue-469 207 3 allow allow VERB issue-469 207 4 reversing reverse VERB issue-469 207 5 the the DET issue-469 207 6 negative negative ADJ issue-469 207 7 trend trend NOUN issue-469 207 8 in in ADP issue-469 207 9 the the DET issue-469 207 10 dynamics dynamic NOUN issue-469 207 11 of of ADP issue-469 207 12 the the DET issue-469 207 13 industry industry NOUN issue-469 207 14 ’s ’s PART issue-469 207 15 assets asset NOUN issue-469 207 16 - - PUNCT issue-469 207 17 endowment endowment NOUN issue-469 207 18 , , PUNCT issue-469 207 19 lead lead VERB issue-469 207 20 to to ADP issue-469 207 21 a a DET issue-469 207 22 certain certain ADJ issue-469 207 23 reduction reduction NOUN issue-469 207 24 in in ADP issue-469 207 25 it it PRON issue-469 207 26 and and CCONJ issue-469 207 27 a a DET issue-469 207 28 gradual gradual ADJ issue-469 207 29 approach approach NOUN issue-469 207 30 to to ADP issue-469 207 31 the the DET issue-469 207 32 optimal optimal ADJ issue-469 207 33 value value NOUN issue-469 207 34 . . PUNCT issue-469 208 1 references reference NOUN issue-469 208 2 : : PUNCT issue-469 208 3 pyndaik pyndaik PROPN issue-469 208 4 r. r. PROPN issue-469 208 5 & & CCONJ issue-469 208 6 rabynfeld rabynfeld PROPN issue-469 208 7 d. d. PROPN issue-469 208 8 ( ( PUNCT issue-469 208 9 2002 2002 NUM issue-469 208 10 ) ) PUNCT issue-469 208 11 . . PUNCT issue-469 209 1 microeconomics microeconomics PROPN issue-469 209 2 . . PUNCT issue-469 210 1 spb spb PROPN issue-469 210 2 . . PUNCT issue-469 210 3 : : PUNCT issue-469 211 1 piter piter PROPN issue-469 211 2 . . PUNCT issue-469 212 1 ( ( PUNCT issue-469 212 2 in in ADP issue-469 212 3 russian russian ADJ issue-469 212 4 ) ) PUNCT issue-469 212 5 galperin galperin NOUN issue-469 212 6 v.m v.m PROPN issue-469 212 7 . . PROPN issue-469 212 8 & & CCONJ issue-469 212 9 ignatev ignatev PROPN issue-469 212 10 s.m s.m PROPN issue-469 212 11 . . PROPN issue-469 212 12 ( ( PUNCT issue-469 212 13 2004 2004 NUM issue-469 212 14 ) ) PUNCT issue-469 212 15 . . PUNCT issue-469 213 1 microeconomics microeconomics PROPN issue-469 213 2 . . PUNCT issue-469 214 1 spb spb PROPN issue-469 214 2 . . PUNCT issue-469 215 1 ( ( PUNCT issue-469 215 2 in in ADP issue-469 215 3 russian russian ADJ issue-469 215 4 ) ) PUNCT issue-469 215 5 perloff perloff VERB issue-469 215 6 j.m j.m PROPN issue-469 215 7 . . PUNCT issue-469 216 1 ( ( PUNCT issue-469 216 2 2014 2014 NUM issue-469 216 3 ) ) PUNCT issue-469 216 4 . . PUNCT issue-469 217 1 microeconomics microeconomics NOUN issue-469 217 2 . . PUNCT issue-469 218 1 chapter chapter NOUN issue-469 218 2 7 7 NUM issue-469 218 3 : : PUNCT issue-469 218 4 costs cost NOUN issue-469 218 5 . . PUNCT issue-469 219 1 retrieved retrieve VERB issue-469 219 2 from from ADP issue-469 219 3 : : PUNCT issue-469 219 4 http://wps.aw.com http://wps.aw.com PROPN issue-469 219 5 debertin debertin PROPN issue-469 219 6 d.l d.l PROPN issue-469 219 7 . . PROPN issue-469 220 1 ( ( PUNCT issue-469 220 2 2012 2012 NUM issue-469 220 3 ) ) PUNCT issue-469 220 4 . . PUNCT issue-469 221 1 agricultural agricultural ADJ issue-469 221 2 production production NOUN issue-469 221 3 economics economic NOUN issue-469 221 4 . . PUNCT issue-469 222 1 amazon amazon NOUN issue-469 222 2 createspace createspace NOUN issue-469 222 3 . . PUNCT issue-469 223 1 borovskoj borovskoj VERB issue-469 223 2 d.n d.n PROPN issue-469 223 3 . . PROPN issue-469 223 4 ( ( PUNCT issue-469 223 5 2008 2008 NUM issue-469 223 6 ) ) PUNCT issue-469 223 7 . . PUNCT issue-469 224 1 production production NOUN issue-469 224 2 functions function NOUN issue-469 224 3 and and CCONJ issue-469 224 4 the the DET issue-469 224 5 problem problem NOUN issue-469 224 6 of of ADP issue-469 224 7 choosing choose VERB issue-469 224 8 the the DET issue-469 224 9 economic economic ADJ issue-469 224 10 - - PUNCT issue-469 224 11 mathematical mathematical ADJ issue-469 224 12 model model NOUN issue-469 224 13 of of ADP issue-469 224 14 the the DET issue-469 224 15 active active ADJ issue-469 224 16 element element NOUN issue-469 224 17 . . PUNCT issue-469 225 1 radіoelektronnі radіoelektronnі PROPN issue-469 225 2 і і PROPN issue-469 225 3 kompjuternі kompjuternі PROPN issue-469 225 4 sistemi sistemi PROPN issue-469 225 5 , , PUNCT issue-469 225 6 1(28 1(28 NUM issue-469 225 7 ) ) PUNCT issue-469 225 8 , , PUNCT issue-469 225 9 172 172 NUM issue-469 225 10 - - SYM issue-469 225 11 177 177 NUM issue-469 225 12 . . PUNCT issue-469 226 1 ( ( PUNCT issue-469 226 2 in in ADP issue-469 226 3 russian russian PROPN issue-469 226 4 ) ) PUNCT issue-469 226 5 kazakova kazakova PROPN issue-469 226 6 m.v m.v PROPN issue-469 226 7 . . PROPN issue-469 227 1 ( ( PUNCT issue-469 227 2 2013 2013 NUM issue-469 227 3 ) ) PUNCT issue-469 227 4 . . PUNCT issue-469 228 1 analysis analysis NOUN issue-469 228 2 of of ADP issue-469 228 3 the the DET issue-469 228 4 properties property NOUN issue-469 228 5 of of ADP issue-469 228 6 production production NOUN issue-469 228 7 functions function NOUN issue-469 228 8 used use VERB issue-469 228 9 in in ADP issue-469 228 10 the the DET issue-469 228 11 decomposition decomposition NOUN issue-469 228 12 of of ADP issue-469 228 13 economic economic ADJ issue-469 228 14 growth growth NOUN issue-469 228 15 . . PUNCT issue-469 229 1 retrieved retrieve VERB issue-469 229 2 from from ADP issue-469 229 3 : : PUNCT issue-469 229 4 ftp://ftp.repec.org/opt/redif/repec/rnp/wpaper/31.pdf ftp://ftp.repec.org/opt/redif/repec/rnp/wpaper/31.pdf X issue-469 229 5 ( ( PUNCT issue-469 229 6 in in ADP issue-469 229 7 russian russian ADJ issue-469 229 8 ) ) PUNCT issue-469 229 9 podladchikov podladchikov PROPN issue-469 229 10 v.n v.n PROPN issue-469 229 11 . . PUNCT issue-469 230 1 ( ( PUNCT issue-469 230 2 2012 2012 NUM issue-469 230 3 ) ) PUNCT issue-469 230 4 . . PUNCT issue-469 231 1 microeconomics microeconomic NOUN issue-469 231 2 . . PUNCT issue-469 232 1 production production NOUN issue-469 232 2 functions function NOUN issue-469 232 3 . . PUNCT issue-469 233 1 retrieved retrieve VERB issue-469 233 2 from from ADP issue-469 233 3 : : PUNCT issue-469 233 4 http://i.kpi.ua/ http://i.kpi.ua/ NOUN issue-469 233 5 podladchikov/-menu podladchikov/-menu NUM issue-469 233 6 = = NOUN issue-469 233 7 micro micro NOUN issue-469 233 8 - - NOUN issue-469 233 9 firm-2-.htm firm-2-.htm PUNCT issue-469 233 10 ( ( PUNCT issue-469 233 11 in in ADP issue-469 233 12 russian russian ADJ issue-469 233 13 ) ) PUNCT issue-469 233 14 cherevko cherevko PROPN issue-469 233 15 j.v j.v PROPN issue-469 233 16 . . PUNCT issue-469 234 1 ( ( PUNCT issue-469 234 2 2007 2007 NUM issue-469 234 3 ) ) PUNCT issue-469 234 4 . . PUNCT issue-469 235 1 optimal optimal ADJ issue-469 235 2 capital capital NOUN issue-469 235 3 stock stock NOUN issue-469 235 4 and and CCONJ issue-469 235 5 initial initial ADJ issue-469 235 6 capital capital NOUN issue-469 235 7 . . PUNCT issue-469 236 1 visnyk visnyk PROPN issue-469 236 2 socialjno socialjno PROPN issue-469 236 3 - - PUNCT issue-469 236 4 ekonomichnykh ekonomichnykh VERB issue-469 236 5 doslidzhenj doslidzhenj ADJ issue-469 236 6 , , PUNCT issue-469 236 7 26 26 NUM issue-469 236 8 , , PUNCT issue-469 236 9 359 359 NUM issue-469 236 10 - - SYM issue-469 236 11 365 365 NUM issue-469 236 12 ( ( PUNCT issue-469 236 13 in in ADP issue-469 236 14 ukrainian ukrainian ADJ issue-469 236 15 ) ) PUNCT issue-469 236 16 shumsjka shumsjka PROPN issue-469 236 17 , , PUNCT issue-469 236 18 s. s. PROPN issue-469 236 19 s. s. PROPN issue-469 236 20 ( ( PUNCT issue-469 236 21 2007 2007 NUM issue-469 236 22 ) ) PUNCT issue-469 236 23 . . PUNCT issue-469 237 1 production production NOUN issue-469 237 2 function function NOUN issue-469 237 3 in in ADP issue-469 237 4 economic economic ADJ issue-469 237 5 analysis analysis NOUN issue-469 237 6 : : PUNCT issue-469 237 7 theory theory NOUN issue-469 237 8 and and CCONJ issue-469 237 9 practice practice NOUN issue-469 237 10 of of ADP issue-469 237 11 use use NOUN issue-469 237 12 . . PUNCT issue-469 238 1 ekonomika ekonomika PROPN issue-469 238 2 proghnozuvannja proghnozuvannja PROPN issue-469 238 3 , , PUNCT issue-469 238 4 2 2 NUM issue-469 238 5 , , PUNCT issue-469 238 6 138 138 NUM issue-469 238 7 - - SYM issue-469 238 8 153 153 NUM issue-469 238 9 ( ( PUNCT issue-469 238 10 in in ADP issue-469 238 11 ukrainian ukrainian ADJ issue-469 238 12 ) ) PUNCT issue-469 238 13 yankovyi yankovyi PROPN issue-469 239 1 v.a v.a PROPN issue-469 239 2 . . PROPN issue-469 239 3 ( ( PUNCT issue-469 239 4 2017 2017 NUM issue-469 239 5 ) ) PUNCT issue-469 239 6 . . PUNCT issue-469 240 1 the the DET issue-469 240 2 application application NOUN issue-469 240 3 of of ADP issue-469 240 4 the the DET issue-469 240 5 ces ce NOUN issue-469 240 6 function function NOUN issue-469 240 7 and and CCONJ issue-469 240 8 associated associated ADJ issue-469 240 9 production production NOUN issue-469 240 10 functions function NOUN issue-469 240 11 in in ADP issue-469 240 12 economic economic ADJ issue-469 240 13 research research NOUN issue-469 240 14 . . PUNCT issue-469 241 1 naukovyj naukovyj NOUN issue-469 241 2 visnyk visnyk PROPN issue-469 241 3 mizhnarodnogho mizhnarodnogho PROPN issue-469 241 4 ghumanitarnogho ghumanitarnogho PROPN issue-469 241 5 universytetu universytetu NOUN issue-469 241 6 , , PUNCT issue-469 241 7 23 23 NUM issue-469 241 8 ( ( PUNCT issue-469 241 9 2 2 NUM issue-469 241 10 ) ) PUNCT issue-469 241 11 , , PUNCT issue-469 241 12 156 156 NUM issue-469 241 13 - - SYM issue-469 241 14 159 159 NUM issue-469 241 15 . . PUNCT issue-469 242 1 ( ( PUNCT issue-469 242 2 in in ADP issue-469 242 3 russian russian PROPN issue-469 242 4 ) ) PUNCT issue-469 242 5 koval koval PROPN issue-469 242 6 v. v. PROPN issue-469 242 7 , , PUNCT issue-469 242 8 slobodianiuk slobodianiuk PROPN issue-469 242 9 o. o. PROPN issue-469 242 10 , , PUNCT issue-469 242 11 yankovyi yankovyi PROPN issue-469 242 12 v. v. PROPN issue-469 242 13 ( ( PUNCT issue-469 242 14 2018 2018 NUM issue-469 242 15 ) ) PUNCT issue-469 242 16 . . PUNCT issue-469 243 1 production production NOUN issue-469 243 2 forecasting forecasting NOUN issue-469 243 3 and and CCONJ issue-469 243 4 evaluation evaluation NOUN issue-469 243 5 of of ADP issue-469 243 6 investments investment NOUN issue-469 243 7 using use VERB issue-469 243 8 allen allen ADJ issue-469 243 9 two two NUM issue-469 243 10 - - PUNCT issue-469 243 11 factor factor NOUN issue-469 243 12 production production NOUN issue-469 243 13 function function NOUN issue-469 243 14 . . PUNCT issue-469 244 1 baltic baltic PROPN issue-469 244 2 journal journal PROPN issue-469 244 3 of of ADP issue-469 244 4 economic economic ADJ issue-469 244 5 studies study NOUN issue-469 244 6 vol vol NOUN issue-469 244 7 . . PROPN issue-469 245 1 4 4 NUM issue-469 245 2 , , PUNCT issue-469 245 3 no no INTJ issue-469 245 4 . . NOUN issue-469 245 5 1 1 NUM issue-469 245 6 : : SYM issue-469 245 7 219 219 NUM issue-469 245 8 - - SYM issue-469 245 9 226 226 NUM issue-469 245 10 . . PUNCT issue-469 246 1 doi doi NOUN issue-469 246 2 : : PUNCT issue-469 246 3 https://doi.org/10.30525/2256-0742/2018-4-1-219-226 https://doi.org/10.30525/2256-0742/2018-4-1-219-226 PROPN issue-469 246 4 state state PROPN issue-469 246 5 statistics statistics PROPN issue-469 246 6 service service NOUN issue-469 246 7 of of ADP issue-469 246 8 ukraine ukraine NOUN issue-469 246 9 ( ( PUNCT issue-469 246 10 2018 2018 NUM issue-469 246 11 ) ) PUNCT issue-469 246 12 . . PUNCT issue-469 247 1 retrieved retrieve VERB issue-469 247 2 from from ADP issue-469 247 3 : : PUNCT issue-469 247 4 http://www.ukrstat.gov.ua/ http://www.ukrstat.gov.ua/ NOUN