Page 123 - DECO403_MATHEMATICS_FOR_ECONOMISTS_HINDI

VED1
E\L-LOVELY-H\math7-1 IInd 21-10-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12

bdkbZ le:i iQyu ,oa ;wylZ izes;

ty y 0 uksV
p
y
rks]
( = tf (, )
kp kp
(
(
vr% tc ewY; vkSj vk; ,d gh vuqikr esa cnyrs gSa rks ekax esa dksbZ ifjorZu ugha gksrkA

7-2 ;wylZ izes; # $ %
&

;wylZ izes; crkrh gS fd tc lHkh mRifÙk osQ lk/u ,d fn;s gq, vuqikr esa c<+k;s tkrs gSa rks ifj.kkeLo:i
mRiknu Hkh mlh vuqikr esa c<+ tk;sxk] ;fn izR;sd mRifÙk osQ lk/u dks mldh lhekUr mRikndrk osQ ewY; osQ
1
cjkcj iqjLdkj fn;k tkrk gS rFkk oqQy mRiknu iw.kZ:i ls ifjlekIr gks tkrk gSA xf.krh; :i esa ;wylZ izes;
dks fuEu :i esa n'kkZ;k tk ldrk gSA ;fn mRiknu iQyu] (
,d js[kh; le:i iQyu 9
2 '

gksrh gSµ
∂ P ∂ P
( L + K ) nwljs 'kCnksa esa ( ,
∂ L ∂ K
∂ P
tgk¡ ( oqQy mRiknu ( Je lk/u dh bdkb;k¡] ( iw¡th lk/u dh bdkb;k¡] ;k ( Je dh
∂ L
∂ P
lhekUr mRikndrk rFkk ( ;k ( iw¡th dh lhekar mRikndrk dks n'kkZrs gSaA
∂ K
ekU;rk,¡ :

izse; fuEufyf[kr egÙoiw.kZ ekU;rkvksa ij vk/kfjr gSµ
1- iSekus osQ fLFkj izfriQy dk fu;e 6 9 # /

. fØ;k'khy gksrk
gSA ;g rHkh lEHko gksrk gS tcfd mRiknu iQyu js[kh; le:i rFkk ,d dksfV ' dh gksrh
gSA
2- cktkj esa iw.kZ izfrLi¼kZ dh fLFkfr ik;h tkrh gSA
3- ;g mRifÙk osQ lk/u dh foHkkT;rk dh ekU;rk dks ysdj pyrh gSA
4- fn;s gq, le; osQ fy, rduhdh fLFkj gksrh gSA

7-2-1 ;wylZ izes; dk fp=ke; izn'kZu

;wylZ izes; dks mijksDr ekU;rkvksa dks è;ku esa j[kdj fp=k }kjk iznf'kZr fd;k tk ldrk gSA eku yhft;s mRiknu
iQyu (
gS rks nksuksa lk/u rFkk dk oqQy mRiknu ij izHkko iM+rk gSA izFke] ge lk/u
dk Øe mRiknu ij izHkko ns[ksaxs tcfd lk/u fLFkj jgrk gSA blosQ i'pkr~ lk/u dk ij izHkko
ns[ksaxs tcfd lk/u fLFkj jgrk gSA