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E L-LOVELY-H math27-1 IInd 21-10-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12

fJekJh^27 L o/yh gq'rokfwzr

d{i/ PpdK ftZu n;hA efj ;ed/ jK fe ;zGkte jZb T[j j?, fijVk ;G o[ektNK B{z ;zs[PN eo'. ;G B'N
;zGkte jZbK ftZu'A T[Zu jZb nkPktkdh jZb (optimum solution) j[zdk j?. i/eo fJZe ;zGkte T[d/P
cbB B{z tZX s'A tZX iK fBT{Bsw pDkT[dk j? sK T[j nkPktkdh jZb j[zdk j?. ;G ;zGt ;zGkte jZbK
ftZu'A nkPktkdh jZb y'iD dk T[Zuso T[gbpX sohek f;wgb?e; ftXh (simplex method) j?.
f;wgb?e; ftXh Bkw Bkb gqf;ZX fJj sohek pj[s fInkdk rfDse ns/ seBheh j?. fijVk o/yh
gq'rokfwzr dk gqw[Zy Nhuk nkPktkd jZbK B{z y'iDk ns/ T[jBK dhnK ftP/PsktK dk nfXnB eoBk
j?.

Nk;e o/yh gq'rokfwzr eh j?<

27H3 cow d/ f;XKs T[Zs/ T[g:'r (Application to the Theory of the Firm)

cow dk Btebkf;eh f;XKs fJZe ;w/A ftZu fJZe iK d' uoK B{z b? e/ fBoD dh ;wZf;nk dk
ftPb/PD eodk j?. fJ;dk ;zpzX fJZe ;w/A ftZu fJZe T[sgkdB gqfefonk Bkb j[zdk j?. o/yh
gq'rokfwzr ftZu T[sgkdB cbB nkofEe f;XKs d/ fJBQK ;hfws y/soK d/ go/ ufbnk iKdk j?. fJj
T[sgkdB gqfefonk ftZu fijVhnK ftfGzB ;woZEk ;hwktK ns/ o[ektNK T[sgzB j[zdhnK jB T[jBK
T[Zs/ ftuko eodk j?. fJj bkrsK dk fBT{BswheoD iK bkGK dk nfXeheoD eoB d/ bJh ftfGzB
ifNb T[sgkdeh gqfefonktK d/ ftZu u'D eodk j?.

wkBsktK (Assumptions)L cow dk o/yh gq'rokfwzr ftPb/PD fBwBfbys wkBsktK T[Zs/ nXkfos
j?L

(i) fBoDk eoB tkbh ;z;Ek B{z e[ZM gqfspzXK (constraints) iK ;kXB o[ektNK (restrictions) dk
;kjwDk eoBk g?Adk j?. j' ;edk j? fe T[j T[Xko, eZuk wkb iK T[;d/ ekoiebkgK T[Zs/ ;EkB
gqfspzX (space constraints) j'D. gqfspzXK dk gqeko n;b ftZu ;wZf;nk dh gqfeosh T[Zs/ fBoGo
eodk j?. fInkdkso o{g s'A T[j T[sgkdB gqfefonk d/ ;fEso ;kXB j[zd/ jB.
(ii) fJj t?ebfge T[sgkdB gqfefonktK dh ;zfynk ;hfws wzBe/ uZbdk j?.
(iii) fJ;dh fJZe wkBsk fJj j? fe fGzB^fGzB uoK ftZu o/yh ;zpzX j[zd/ jB fi;dk wsbp j? fe
fJZe gqfefonk d/ nzsors nkrs^fBors d/ ftZu ;fEo nB[gksesk j[zdh j?.
(iv) nkrs^fBors ehwsK ns/ r[DKe fdZs/ j'J/ ns/ ;fEo j[zd/ jB. T[j fBPfus o{g s'A gsk
j[zd/ jB.

(v) :'rPhbsk (additivity) dh XkoDk th o/yh gq'rokfwzr d/ w[Zb ftZu ;fEo ofjzdh j? fi;dk
wsbp j? fe ;G cowK d[nkok gq:'r ehs/ rJ/ e[ZbQ ;kXB jo/e ftneshrs cow d[nkok gq:'r
ehs/ rJ/ ;kXBK d/ i'VQ d/ pokpo j[zd/ jB.
(vi) o/yh gq'rokfwzr seBheK t;s{nK ns/ ;kXBK ftZu fBozsosk ns/ ftGkiesk B{z th
wzBdhnK jB.
(vii) ;z;EkfBe ;kXB th ;fEo wzB bJ/ iKd/ jB.

(viii) gq'rokfwzr d/ bJh fJZe fBPfus ;wK wzB fbnk iKdk j?. ;[ftXk ns/ tZX ;jh BshfinK
d/ bJh ;wK ;XkoD o{g s'A xZN j[zdk j? Gkt/A fe ng/fynk ti'A fInkdk ;w/A dh ;zGktBk B{z ysw
BjhA eo fdZsk iKdk.
fJj wkBsktK fdZshnK j'JhnK j'D s/ cow d/ f;XKs T[Zs/ o/yh gq'rokfwzr dk T[g:'r fBwBfbys
fszB ;wZf;nktK d/ jZb d/ bJh ehsk iKdk j?.

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