Determining the optimal solution constraint

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A two variable linear program has the following characteristics: The objective function maximizes 13X1 + 13X2; Constraint 1 states that X1 ≤ 1; constraint 2 states that X2 ≤ 10; constraint 3 states that X1 ≥ 0; constraint 4 states that X2 ≥ 0. Which of the following statements is true about the linear program?

A. In the optimal solution, constraint 3 has a slack of 0 and the optimal solution value is 20.

B. The linear program has no optimal solution and it cannot be solved ever.

C. In the optimal solution, constraint 1 has a surplus of zero and constraint 2 has a surplus of 1.

D. The optimal solution value is 143 and in the optimal solution, constraint 2 has "slack variable" = 0.

Reference no: EM131233763

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