Question: Problem 1 Consider the following optimization problem: min 2x1 + 15x2 + 5x3 s.t. X1 + 6x2 + 3x3 > 2 -2x1 + 5x2 X3

Problem 1 Consider the following optimization

Problem 1 Consider the following optimization problem: min 2x1 + 15x2 + 5x3 s.t. X1 + 6x2 + 3x3 > 2 -2x1 + 5x2 X3 0 1. Find the dual problem and solve it graphically. 2. Use the complementary slackness conditions to find the optimal solution of the primal problem. 3. Consider the two basic solutions for the dual problem: (a) (W1, W2) = (0,3) (b) (W1, W2) = (5/3,0) Find the corresponding basic solutions of the primal using the complementary slackness conditions. Problem 1 Consider the following optimization problem: min 2x1 + 15x2 + 5x3 s.t. X1 + 6x2 + 3x3 > 2 -2x1 + 5x2 X3 0 1. Find the dual problem and solve it graphically. 2. Use the complementary slackness conditions to find the optimal solution of the primal problem. 3. Consider the two basic solutions for the dual problem: (a) (W1, W2) = (0,3) (b) (W1, W2) = (5/3,0) Find the corresponding basic solutions of the primal using the complementary slackness conditions

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