Question: 2. Consider the following problem. Maximize Z = 2x1 + 7x2 + 4x3 subject to X1 + 2x2 + x3 = 10 3x1 + 3x2

2. Consider the following problem. Maximize Z =

2. Consider the following problem. Maximize Z = 2x1 + 7x2 + 4x3 subject to X1 + 2x2 + x3 = 10 3x1 + 3x2 + 2x3 = 10 X1 20, X220, X3 20 (a) Construct the dual problem for this primal problem. (b) Use the dual problem to demonstrate that the optimal value of Z for the primal problem cannot exceed 25. (c) Work though the simplex method step by step to solve the primal problem. After each iteration (including iteration 0), identify BF solution for this problem and the complementary basic solution for the dual

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