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2. Consider the following problem Maximize Z= 3a1-8a subject to and -2a, 10 7 0,2 0 a) Construct the dual problem. b) Find its optimal

2. Consider the following problem Maximize Z= 3a1-8a subject to and -2a, 10 7 0,2 0 a) Construct the dual problem. b) Find its optimal solution based on the linear system shown in part (a) by inspection. c) Find the optimal solution (one of the augmented corner point solution) for the primal problem using the complementary slackness property and the optimal solution for the dual problem (You must show the use of the complementary slackness for this problem)

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2. Consider the following problem Maximize Z=3x18x2 subject to x12x210 and x10,x20 Maximize Z=3x18x2 subject to x12x210 and x10,x20 a) Construct the dual problem. b) Find its optimal solution based on the linear system shown in part (a) by inspection. c) Find the optimal solution (one of the augmented corner point solution) for the primal problem using the complementary slackness property and the optimal solution for the dual problem (You must show the 'use of the complementary slackness' for this problem )

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