Question: 1. Consider the following linear programming problems: A B. Min 4x + 3x + 6x Max 5x + 5x2 + 24xy st. 1x, +0.5x, +

1. Consider the following linear programming
1. Consider the following linear programming problems: A B. Min 4x + 3x + 6x Max 5x + 5x2 + 24xy st. 1x, +0.5x, + 1x, 2 15 15x + 4x2 + 12xy = 2800 2x, + lx, 230 15x1 + 8x2 $ 6000 1x + 1x2 + 2x, 2 20 + 8x3 = 1200 *.X2, , 20 X1, X3, X30 For each model: a. Write the dual problem. b. Solve the dual for problem A and the primal problem for B. c. Use the dual solution to identify the optimal solution to the original primal problem for A and the contrary for B. d. Verify that the optimal values for the primal and dual problems are equal. 1. Consider the following linear programming problems: A B. Min 4x + 3x + 6x Max 5x + 5x2 + 24xy st. 1x, +0.5x, + 1x, 2 15 15x + 4x2 + 12xy = 2800 2x, + lx, 230 15x1 + 8x2 $ 6000 1x + 1x2 + 2x, 2 20 + 8x3 = 1200 *.X2, , 20 X1, X3, X30 For each model: a. Write the dual problem. b. Solve the dual for problem A and the primal problem for B. c. Use the dual solution to identify the optimal solution to the original primal problem for A and the contrary for B. d. Verify that the optimal values for the primal and dual problems are equal

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