Page 144 - DECO403_MATHEMATICS_FOR_ECONOMISTS_PUNJABI

VED1
E L-LOVELY-H math8-1 IInd 6-8-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12

noEPk;soh dk rfDs

B'N q 1 ns/ q 2 dk wkB ;wheoD (i), (ii), (vi) (vii) ns/ (viii) ftZu oZyD s/
P 1 = 80 – 5 × 8 = 80 – 40 = 40

T[dkjoD 14H fJZe J/ekfXekoh d/ d' pkIkoK d/ wzr cbB ns/ e[ZbQ bkrs cbB fBwB
fbys jB^
P 1 = 2 – q 1
P 2 = 9 – 6q 2
C = q 1 + q 2

w[Zb G/d dh ;fEsh ftZu d'jK pkIkoK w[Zb, T[sgkdB (fpeoh wksok), ;hwKs nkrw ns/
J/ekfXekoh dk bkG eZY'. pkIko A ns/ B dh wzr b'u th gsk eo'.
jZb L ;kB{z gsk j?^
P 1 = 2 – q 1 ...(i)
P 2 = 9 – 6q 2 ...(ii)
C = q 1 + q 2 ...(iii)
pkIko A d/ bJh e[ZbQ nkrw
2
R 1 = P 1 q 1 = 2q 1 – q 1 ...(iv)
pkIko B d/ bJh e[ZbQ nkrw
2
R 2 = p 2 q 2 = 9q 2 – 6q 2 ...(v)
;wheoD (iv) ns/ (v) dk q 1 ns/ q 2 d/ ;kg/y ftZu gqEe^gqEe fBy//VB eoB s/

∂ R
2 2q ...(vi)
MR = 1 = −
1 q ∂ 1
1
∂ R
9 12q ...(vii)
MR = 2 =−
2 q ∂ 2 2
e[ZbQ bkG, π = R 1 + R 2 – C
2
2
= 2q 1 – q 1 + 9q 2 – 6q 2 – q 1 – q 2
2
2
= q 1 – q 1 = 8q 2 – q 2 ...(viii)
bkG tZX s'A tZX ;zpzXh,
;wheoD (viii) dk q 1 ns/ q 2 d/ ;kg/y ftZu gqEe^gqEe fBy/VB eoe/ Iho' d/ pokpo oZyD s/

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