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bdkbZ 7 % ek¡x fl¼kar esa uwru fodkl
D;ksafd ;g miHkksDrk dh ctV js[kk 1|X –1|X dh igq¡p ls mQij fLFkr gSA vr% osQoy fcanq M b"Vre uksV
1
2
mi;ksfxrk U;wurehdj.k dk gSA
fp=k 7-4
λ
2
1/X
1
M
IIC
3
IIC
2
IIC
1 λ
O 1
1/X
1
izR;{k vkSj ijks{k mi;ksfxrk iQyuksa esa Hksn
(Difference between Direct and Indirect Utility Functions)
izR;{k mi;ksfxrk iQyu mnklhurk oØ iz.kkyh lacaèk j[krk gS vkSj ijks{k mi;ksfxrk iQyu dk lacaèk Hkh
mnklhurk oØksa ls gS ftUgsa ijks{k mnklhurk oØ dgrs gSaA bu nksuksa esa fuEu lekurk,¡ ikbZ tkrh gSaA
1- nksuksa izdkj osQ oØ fcYoqQy ,d tSls yxrss gSaA
2- nksuksa ewy osQ mUurksnj (Convex) gSaA
3- bu oØksa osQ fdlh Hkh fcanq ij miHkksDrk mnklhu gksrk gS D;ksafd mls izR;sd ij leku mi;ksfxrk izkIr
gksrh gSA
ijarq bu nksuksa izdkj osQ oØksa esa ,d eq[; varj ik;k tkrk gSA mQ¡ps izR;{k mnklhurk oØ mQ¡ps mi;ksfxrk
Lrjksa osQ lkFk lacafèkr gksrs gSaA blosQ foijhr mQ¡ps ijks{k mnklhurk oØ fupys mi;ksfxrk Lrjksa osQ lkFk
lacaafèkr gksrs gSaA
7-4 O;; iQyu (The Expenditure Function)
miHkksDrk O;; iQyu ;g crkrk gS fd miHkksDrk viuk O;; oSQls de djrk gS] oLrqvksa dh dhersa vkSj
mi;ksfxrk Lrj fn, gksus ij miHkksDrk O;; iQyu dh O;qRifÙk js[kh; izksxzk¯ex rduhd ij vkèkkfjr gSA
miHkksDrk O;; dks U;wure djus osQ yf{kr iQyu dk gy gSμ
∑ PX
Min i i
i
Subject to U (X) ≥ U ---(1)
tgk¡ P X oqQy O;; gS ftls U;wure fd;k tkuk gS c'krsZ fd bl izfrcaèk fd mi;ksfxrk Lrj ls U ls de
i i
u gksA lehdj.k (1) dk gy dherksa osQ ewY;ksa vkSj mi;ksfxrk Lrj ij fuHkZj djrk gS ftls bl izdkj fy[kk
tk ldrk gS]
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