Question: Consider the following LP problem: max z = 5x1 + x2 + 2x3 s.t. x1 + x2 + x3 6 6x1 + x3 8 x2
Consider the following LP problem: max z = 5x1 + x2 + 2x3 s.t. x1 + x2 + x3 6 6x1 + x3 8 x2 + x3 2 x1, x2, x3 0 It can be verified that the optimal value and the optimal solution for this LP problem are z = 9 and (x 1 , x 2 , x 3 ) = (1, 0, 2), respectively. Using the primal optimal solution and the Theorem of Complementary Slackness, find the optimal solution for the dual of the given problem.

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