Question: 6. Following is a simplex tableau for a linear programming problem: 10 5 0 0 -M Basic Variables 9 Quantity * X2 $1 42 10

6. Following is a simplex tableau for a linear programming problem: 10 5 0 0 -M Basic Variables 9 Quantity * X2 $1 42 10 5 1 0 0 -M 0 X1 A2 52 4 15 0 0 1/2 1 7/2 -1/2 0 1/2 0 1 1 0 -4M + 50 10 -M + 5 -5 0 M 9-3 0 M 5 0 0 a. Is this a maximization or a minimization problem? Why? b. What is the value of x, in this tableau? c. Does the fact that x, has a z value equal to "o" in this tableau mean that multiple optimal solutions exist? Why? d. What does the - value for thes, column mean? e Is this solution optimal? Why? If not, solve this problem and indicate if multiple optimal solutions exist

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