Question: 2. Consider the following optimization problem: min 82x1 + 70x2 + 65x3 + 9034 s.t 6x1 + 2x2 + 5x3 + 734 > 600 X

2. Consider the following optimization problem:

2. Consider the following optimization problem: min 82x1 + 70x2 + 65x3 + 9034 s.t 6x1 + 2x2 + 5x3 + 734 > 600 X 1 > 0.4 X1 + x2 + x3 + x4 X2 + x3 X1 + X4 > 0.2 X3 > X1 + X4 X1, X2, X3, X4 > 0 (a) Convert the stated problem into a linear program in minimization equation stan- dard form. (b) Find the dual of the model you created in part (a). (c) Suppose an optimal solution for the problem AS ORIGINALLY FORMULATED is x = (390,0, 375, 76). Use complementary slackness to find an optimal solution to the dual you formulated in part (b). You MAY use software to solve any systems of equations required in this part. 75 =

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