Page 149 - DECO403_MATHEMATICS_FOR_ECONOMISTS_HINDI

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

bdkbZ vodyu dk vFkZ'kkL=k esa mi;ksx

gy % ge tkurs gSa fd iwfrZ iQyu osQ fy, uksV

≥ $2+ ;gk¡] ( ewY;] $2+ ( vkSlr ifjorZu'khy ykxr
TVC TC − TFC
gesa Kkr gS fd $2+ ( =
x x
;gk¡ 2/ ( oqQy ifjorZu'khy ykxr] / ( oqQy ykxr] 3+ oqQy fLFkj ykxr rFkk ( oLrq dh ek=kk
gSA vr%
( 3 3x + 2 20x + 15 − ) 0.3x − 15
$2+ ( 3+ ( &
x

( + ! * ! , +
∂ (AVC ) ∂ 2 (AVC )
$2+ dks U;wurehdj.k djus ij ( + rFkk ? +
x ∂ ∂ x 2

∂ (AVC ) ∂ ( 0.3x + 2 3x + 20 )
vr% ( = 0.6x − 3 = 0
x ∂ x ∂
;k + ( ! vr% ( &
∂ 2 (AVC )
∂ x 2 ( + ? + vr% ( & ij $2+ U;wure gksxhA

U;wure $2+ fudkyus osQ fy, ( & j[kus ij
$2+ ( ! ; & ; & * ! ; & , +
( 0 & * & , + ( &

;fn @ $2+ ( &) mRiknu Lrj 'kwU; gksxkA
;fn ? $2+ ( &) rc iwfrZ Lrj /ukRed gksxkA

iwfrZ iQyu Kkr djus osQ fy,
∂ C 2
+ ( = 3 . 0.3x − x 6x + 20
x ∂

( + I * , +
pw¡fd iw.kZ izfr;ksfxrk esa larqyu dh fLFkfr esa
( +

vr% ( + I , +

;k + I * , + * (+
dk eku Kkr djus osQ fy, f}?kkr lehdj.k dks gy djus ij
×
6 ± 36 − 4 .9(20 − P )
(
×
2.6
6 ± 36 − 3.6(20 − P ) 6 ± 36 − 72 + 3.6P
( (
1.2 1.2