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VED1
E L-LOVELY-H math11-1 IInd 6-8-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12

noEPk;soh dk rfDs

B'N ;wheoD (1) ns/ (2) B{z b?D s/

(fJZE/,

T[sgkdB o{gKsoD dh do)

fJ; soQK ....(5)

;wheoD (5) fJj do;kT[Adk j? fe T[sgkdB o{gKsoD dh do ehws nB[gks d/ pokpo j[zdh j?
fijVh fJj dZ;dh j? fe nkrw o/yk T[sgkd o{gKsoD teo B{z ;goPN eodh j?.
gfjbhnK eqw PosK B{z j/m nB[;ko do;k ;ed/ jK^

iK

feT[Ai' RPT B{z ;hwKs T[sgkdB ftZu j/m nB[;ko th do;kfJnkik ;edk j?

B'N; RPT eqw (Second Order) dhnK PosK d/ bJh d{i/ fBy/Ve dk p'ovv j/; ;kofDe
(Bordered Hession Determinant) nfXeheoD bkG d/ bJh XBkswe j'Dk ukjhdk
j?.

fJ; soQK

....(6)

;wheoD (6) dk ft;sko eoB s/
2
2
µ (h 11 h 2 – 2h 12 h 1 h 2 + h 22 h 1 ) > 0 ....(7)
2
2
iK h 11 h 2 – 2h 12 h 1 h 2 + h 22 h 1 ) > 0 ....(8) (feT[Ai'A µ > 0)
fJ; soQK cow ;wheoD (5) ns/ (7) B{z ;zs[PN eodh j? sK cow fBPfus o{g s'A nkgD/
nkrw B{z nfXeheoD eoB ftZu ;cb j't/rh.

11H1 bkG nfXeheoD (Profit Maximization)
bkG θ 1 ns/ θ 2 T[sgkd dh wksok q 1 ns/ q 2 dk cbB j[zdk j?^

π = p 1 q 1 + p 2 p 2 – rh (q 1 q 2 ) ....(8)
;wheoD (8) nzfPe fBy/Ve eoB s/ ns/ T[jBK d/ pokpo Iho' oZyD s/

....(i)

174 LOVELY PROFESSIONAL UNIVERSITY