Question: Problem 3. Consider the primal problem: maximize Z = -15x + 502 subject to -211 +382 +23 0 (a) [4pt} Formulate the Dual LP. (b)

Problem 3. Consider the primal problem: maximize

Problem 3. Consider the primal problem: maximize Z = -15x + 502 subject to -211 +382 +23 0 (a) [4pt} Formulate the Dual LP. (b) (3pt) Write all the complementary slackness conditions for the above primal LP and the Dual LP. (c) [3pt) Given the dual optimal solution is y* = (,0), find the optimal solution to the primal LP, using the optimal solution of the dual problem and the complementary slackness condition (to determine which primal constraints are active and which primal variables must be zero at the optimal solution), and explain how you did it

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