Question: constraint)? 3. Consider the following optimization problem: min 211 + 312 + 13 + 314 s.t. x1 + 212 + 214 > 20 X1 +

constraint)? 3. Consider the following optimization problem: min 211 + 312 + 13 + 314 s.t. x1 + 212 + 214 > 20 X1 + 2 2 10 213 + 314 > 25 [1, 12, 13, 14 2 0 (a) Convert the problem into standard form. (b) Find the dual of the original problem. 2 (c) Suppose an optimal solution for the primal problem is $1 = 10, 12 = 0, 13 = 5, 14 = 5. 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

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