Page 187 - DECO403_MATHEMATICS_FOR_ECONOMISTS_HINDI

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pq
η ; η− 11 η

y
1 1y

η η ;

η ;

2 )

$

$

D ; * : * : *

; + * < + * < < + *

n
; y − ∑ p q = 0
ii
i =1
; : : $

⎛ n ⎞
i i ⎟
( ,
B ; fq q 2 ,..., q n ) + ⎜ ⎜ y − ∑ p q ⎟
1
⎝ i = 1 ⎠

∂V ∂ V

; λ+ ; .: ; 9 λ+ ; .
∂q i ∂ p j
; λ+ ; λ+

f i p i
;
f j p j
D;k vki tkurs gSa

E

! " "
#
$
%
&'
! (
f 11 f 12 f 1n −p 1
f 21 f 22 f 2n −p 2
L .
fn 1 fn 2 fnn −p n
−p 1 −p 2 −p n 0

∂q i ; ⎛ ∂q i ⎞ ; −q ⎛ ∂q i ⎞ + ;
∂ ⎠
∂p i ⎜ ⎝ ∂p i ⎟ ⎠ ⎜ ⎝ y ⎟
+ K*

p ⎛ ∂ q ⎞ p i ⎛ ∂q i ⎞ p i ⎛ ∂q i ⎞
i
i
q i ⎝ ⎜ ∂ p i ⎠ ⎟ ; q i ⎜ ⎝ ∂p i ⎟ ⎠ u = const. − q i q i ⎜ ⎝ y ⎟ = const.
∂ ⎠ p