Page 370 - DECO403_MATHEMATICS_FOR_ECONOMISTS_PUNJABI

VED1
E L-LOVELY-H math30-1 IInd 6-8-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12

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B'N 2X 1 – X 2 – 2X 3 ≥ 11 .....(3)
X 1 – 3X 2 – 3X 3 ≤ 5 .....(4)

fi; Bkb X 1 , X 2 , X 3 ≥ 0
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(Slack) ns/ tkX{ (Surplus) uoK dk gq:'r ehsk ikt/rk. feT[Ai' fJZE/ fszB gqfspzX ;wheoD
jB. fJ; soQK fszB ;b?e ns/ tkX{ uoK dk gq:'r ehsk ikt/rk. fJ; bJh X 4 , X 5 ns/ X 6 dk
;wkt/P eoB s/ fdZsh j'Jh ;wZf;nk B{z j/m nB[;ko do;kfJnk ik ;edk j?^
2X 1 – 3X 2 + 6X 3 + 0X 4 + 0X 5 + 0X 6 .....(5)
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3X 1 – 4X 2 – 6X 3 + X 4 + 0X 5 + 0X 6 = 2 .....(6)
2X 1 – X 2 + 2X 3 + 0X 4 – X 5 + 0X 6 = 11 .....(7)
X 1 + 3X 2 – 2X 4 + 0X 4 + 0X 5 + X 6 = 5 .....(8)
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feT[Ai' nXko t:{j fJekJh t:{j (Unit Matrix) j'Dk ukjhdk gozs{ gqkgs sZEK d[nkok fJj ;zGt
BjhA j' fojk j?. fJ; bJh fJZe BthB ;fdP (Vector)P 7 dk ;wkt/P eoBk io{oh j?. fJ; bJh
nozGe nXko P 4 , P 7 ns/ P 6 j'fJnk. fJ; soQK fBwB ;koDh fbyD s/

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(i) Linear Programming by Gass.
(ii) Economic Theory and Operation Analysis by William J. Baumol.

364 LOVELY PROFESSIONAL UNIVERSITY