Maximize p = 12 X 1 + X 2 10 1 + 9 X 2 2

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Maximize p = 12 X 1 + X 2  10 1 + 9 X 2 2 X subject to 4 X 1 + X 3  18 1 + 2 X 2  32 where X

X 1 + X 2 + X 3 ≥ 0 1 + X 2  10

[Ans. p = 186]

3 X 2  21 where X 1 ≥ 0, X 2 ≥ 0 LINEAR PROGRAMMING 321

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