Page 179 - DECO403_MATHEMATICS_FOR_ECONOMISTS_PUNJABI

VED1
E L-LOVELY-H math11-1 IInd 21-10-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12

Hitesh Jhanji, Lovely Professional University fJekJh^11 L gqshpzX T[uso ns/ fBwBso

fJekJh^11L gqshpzX T[uso ns/ fBwBso B'N

(Constrained Maxima and Minima)

ftP/ t;s{ (Contents)

T[d/P (Objectives)
gq;sktBk (Introduction)

11H1 bkG nfXeheoD (Profit Maximization)
11H2 jkBhg{oe wzr cbB (Compensated Demand Function)
11H3 ;koKP (Summary)

11H4 Ppde'P (Keywords)
11H5 nfGnk; gqPB (Review Questions)

11H6 ;zdoG g[;seK (Further Readings)

T[d/P (Objectives)
fJ; fJekJh d/ nfXn?B s'A pknd ftfdnkoEh :'r j'Dr/L

• bkG nfXeheoD B{z ;wMD ftZu.
• jkBhg{oe wzr cbB dh ikDekoh gqkgs eoB bJh.

gq;sktBk (Introduction)
wzB fbU fJZe cow d' T[sgkd Q 1 ns/ Q 2 dh wksok q 1 ns/ q 2 dk eq: eqwnB[;ko p 1 ns/ p 2 dh
ehws T[Zs/ eq: eodh j? sK nifjh dPk ftZu e[ZbQ nkrw j't/rk^
R = p 1 q 1 = p 2 q 3 ....(1)
wzB fbU cow dk fJZe fBors (Input) d[nkok d' T[sgkdK (Output) θ 1 ns/ θ 2 dk T[sgkd eodh
j?. nfijh dPk ftZu X d/ ;zdoG ftZu cow d/ d' T[sgkd dh bkrs (x), q 1 ns/ q 2 dk cbB
j't/rk. Gkt

x = h (q 1 , q 2 ) ....(2)
nfijh dPk ftZu fJZe cow dh nkrw B{z tZX s'A tZX eoB d/ bJh e[ZbQ nkrw ns/ cbB B{z b?D s/
V = p 1 q 1 = p 2 q 2 + µ [x – h (q 1 q 2 ) σ] ....(3)
fJZE/ µ b/Aro/Ai r[De j?. ;wheoD (1) dk nzfPe fBy/VB eoe/ Iho' d/ pokpo oZyD s/
∂ V
= p 1 – µh 1 = 0
q ∂
1
∂ V
= p 2 – µh 2 = 0 ....(4)
q ∂
2
∂ V
= x – h (q 1 ,q 2 )= 0
∂µ

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