Page 137 - DECO403_MATHEMATICS_FOR_ECONOMISTS_PUNJABI

VED1
E L-LOVELY-H math8-1 IInd 21-10-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12

fJekJh^8 L fBy/VB dk noEPk;so ftZu T[g:'r

T[Zso L (I) wzr dh fsoSh b'u (Cross Elasticity of Demand) B'N

wzr cbB fJj do;kT[Adk j? fe fe;h t;s{ dh wzr T[; t;s{ dh ehws dk cbB j[zdk j?. gozs{
fe;h t;s{ dh wzr d{ih ;zpzXs t;s{nK dh ehws dk th cbB j[zdh j?. wzr dh fsoSh b'u fJj
dZ;dh j? fe ;zpzXs t;s{ dh ehws ftZu gfotosB j' ikt/ sK T[jBK d/ ekoB t;s{ dh wzr ftZu
gfotosB j' ikt/rk. wzfBnk fJZE/ d' t;s{nK X ns/ Y jB. fJZE/ Y-t;s{ dh ehws d/ ekoB X-
t;s{ dh ehws wzr ftZu gfotosB j[zdk j?, Gkt

T[dkjoD 7H i/eo fe;h g{oD gqsh:'frsk cow dk wzr ns/ g{osh cbB fBwB j?^
wzr cbB P = 30 – x
2
g{osh (bkrs) cbB C = x + 6x + 7
sK T[sgkdB d/ fe;h ;so T[Zs/ bkG tZX s'A tZX j't/rk ns/ w[Zb, bkG ns/ ;eb nkrw d/
;zrs wkB eh j'Dr/<
jZbL cow d/ tZX s'A tZX bkG dh dPk ftZu fBwB PosK g{oD j'DhnK io{oh jB^

∂π
MR = MC iK = 0 HHHHHH(i)
x ∂
∂ π
2
ns/ < 0 HHHHH(ii)
x ∂ 2
fJZE/ ;eb bkG π & e[ZbQ nkrw (R) & e[ZbQ bkrs (C)

e[ZbQ nkrw (R) & w[Zb × t;s{ dh wksok

fJ;h soQK

;zs[bB dh dPk ftZu MR = MC
30 – 2x = 2x + 6
iK –4x = –30 + 6 = –24

24
iK x = = 6
4
x dk wkB d{ih soQK th eZfYnk ik ;edk j?^
2
2
π = R – c = (30x – x ) – (x + 6x + 7)
2
2
= 30x – x – x – 6x – 7
2
= 24x – 2x – 7
x d/ ;zdoG ftZu fBy/VB eoB s/
∂π
= 24 4x
−
x ∂

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