Problem 2 Consider the following simplex tableau. Row z 0 1 2 3 x1 X2 X3 X4 X5 6 7 8 RHS 1 0-5 0 4-1 -10 00 3 0-2 -3 -1 0 0 620 2620 5 1 12 0 0 1 1 3 1 0 3 0 6 BV 0 1 -1 0 0 6-4 00 0 Suppose you are maximizing the objective z. Identify which one of the following statements is correct, and answer the corresponding question. 1. The current basic feasible solution is optimal. If so, what is an optimal solution and the optimal objective value? 2. The linear program is unbounded. If so, provide a solution with objective value z = 5000 or larger. 3. At least one more iteration of the simplex algorithm is required to solve this problem. If so, identify which variable will leave the basis (go from being basic to being nonbasic), and which variable will enter the basis in the next iteration.

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