Page 183 - DECO403_MATHEMATICS_FOR_ECONOMISTS_PUNJABI
P. 183
VED1
E L-LOVELY-H math11-1 IInd 21-10-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12
fJekJh^11 L gqshpzX T[uso ns/ fBwBso
iK 6 y = 18 iK y = 18/6 = 3 B'N
y dk wkB d[pkok ;wheoD (iv) ftZu oZyD s/
2x + (3 × 3) – 18 = 0
iK 2x = 9 iK x = 9/2 = 4.5
fJ; soQK x ns/ y dh wzr ikDB tkbh wksok eqw nB[;ko 4H5 ns/ 3 gqkgs j't/rh.
T[dkjoD 3L cow dk ft;sko gE T[;d/ ekoeK d/ e[ZbQ you o{g ftZu eZY' i/eo T[sgkdB
cbB fdZsh j'Jh j?^ P = 12 log L + 30 log K
ns/ fJ;d/ ndktK dh ehwsK P L = 2 ns/ P 2 = 5 j?.
(Find the firm’s expansion paths expressed in terms of its total expenditure on its inputs in the
given production function is P = 12 log L + 30 log K and the input prices are P L = 2 and P K =
5)
jZb L fJZE/ T[sgkde dk w[Zy T[d/P nkgD/ T[sgkdB (P) B{z tZX s'A tZX eoBk j? id'A fe T[;dk
gqshpzX (e[ZbQ bkrs) fBwB j?^
TC = 2 L + 5 K
b/Aro/Ai r[De λ dk gq:'r eoB s/
Z = 12 log L + 30 log K + γ (TC – 2 L – 5 K)
Z B{z K ns/ λ d/ ;zdoG ftZu tZy^tZy o{g ftZu nzfPe fBy/VB eoB s/
....(i)
....(ii)
....(iv)
;wheoD (i) ns/ (ii) B{z b?D s/
d'BK B{z se;hw eoB s/
iK
iK
iK
;wheoD (11H1) ftZu L dk wkB oZyD s/
iK
ns/
LOVELY PROFESSIONAL UNIVERSITY 177