Page 154 - DECO403_MATHEMATICS_FOR_ECONOMISTS_HINDI

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

vFkZ'kkfL=k;ksa dk xf.kr

uksV vc] + ( + , +

E 5 osQ lkis{k esa vodyu djus ij
dC
+ ( = 20
dq
vr% + ( $+ * K ∴ + (

vFkok ( $+ * + ( +
( + vkSj ( +

rFkk π ( * +

ykHk Í.kkRed gksxkA
mnkgj.k 13- nks i`Fko~Q ck”kkjksa osQ ek¡x iQyu o ykxr iQyu fuEu gSA
$
! & %$
! #'

vkSj &
#

ewY; foHksn dh fLFkfr esa nksuksa ck”kkjksa osQ ewY;] mRiknu] lhekUr vkxe rFkk mRiknd dk oqQy ykHk Kkr dhft;sA
gy % gesa Kkr gSµ
( 8+* &

( 8+ * I

+ ( &+ , + ,

izFke cktkj dk oqQy vkxe
' ( ( 8+ * &

(8+ * &
(

f}rh; cktkj dk oqQy vkxe
' ( ( 8+ * I

( 8+ * I (

lehdj.k
( dks osQ lkis{k esa vkaf'kd vodyu djosQ 'kwU; osQ cjkcj j[kus ij

∂ R
' ( 1 = 80 − 10q = 0 (
∂ q 1 2
vFkok + ( 8+ ;k ( 8

blh izdkj lehdj.k ( dk vkaf'kd vodyu djosQ 'kwU; osQ cjkcj j[kus ij
∂ R
' ( 2 ( 8+ * &8 ( + (
∂ q 2
180 90
vFkok &8 ( 8+ ;k ( 58 = 29

oqQy ykHk π ( ' , ' * /

(8+ * & , 8+ * I * &+ * + * +

( + * & , + * I * &+ (