Page 114 - DECO403_MATHEMATICS_FOR_ECONOMISTS_PUNJABI
P. 114
VED1
E L-LOVELY-H math7-1 IInd 21-10-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12
noEPk;soh dk rfDs
B'N i/eo and T[go'es cbB ftZu oZyd/ jK t XBkswe ;fEo nze j?.
2
2
2
2
2
sK f (tx, ty) = (tx) – (ty) = t (x – y )
2
= t f (x, y)
3
3
i/eo cbB f (x, y) = x – y j? sK
3
f (tx, ty) = t f (x, y)
n
f (x, y) = x - y
n
n
sK f (tx, ty) = t f (x, y)
;wo{g cbB dk j'o T[dkjoD,
2
2
f (x, y) = x + xy – 3y
2
sK, f (tx, ty) = t f (x, y)
3
3
2
2
f (x, y) = x + 3x y – 3xy + y
3
ns/, f (tx, ty) = t f (x, y)
cbB B{z j/m nB[;ko fby/ ;ed/ jK^
n
f (tx, ty) = t f (x, y)
B'N; T[go'es cbB f (x, y)n e'fN dk ;wo{g cbB j?. noEPk;so ftZu finkdkso
Iho' e'fN d/ cbB dk gq:'r ehsk iKdk j?.
T[dkjoD 1 L
sK,
T[dkjoD 2 L
T[dkjoD 3L i/eo q wksok, p ehws ns/ y nkwdB j? sK wzr cbB fBwB jB
q = f (p, y) = fiZE/ k ;fEo nze j?.
sK
fJ; soQK id'A w{b p ns/ nkwdB x fJZe jh nB[gks ftZu pdbd/ ofjzd/ jB sK wzr q ftZu e'Jh
gfotosB BjhA j[zdk.
1. Euler’s Theorem states that all factors of production are increased in a given proportion resulting
output will also increase in the same proportion each factor of production (input) is paid the value of
its marginal product, and the total output is just exhausted.
108 LOVELY PROFESSIONAL UNIVERSITY