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Find the optimal solution to the dual problem

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Reference no: EM133269403

Given the linear program:

Maximize: 3x1 + 2x2 + 4x3

Subject to: x1 + x2 + x3 ≤ 9

3x1 + x2 + 4x3 = 18

x1 + 2x2 ≥ 7

x1 ≥ 0, x2 ≥ 0, x3 ≥ 0

(a) Find the dual problem.

(b) The optimal solution to the above problem is x∗1 = 0, x∗2 = 6, x∗3 = 3, with value z∗ = 24. Use complementary slackness to find the optimal solution to the dual problem.

Reference no: EM133269403

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