A linear programming problem with the objective function 3x₁ + 8x₂ has the optimal solution x₁ = 5,x₂ = 6.If c₂ decreases by 2 and the range of optimality shows 5 ≤ c₂ ≤ 12,the value of Z A)will decrease by 12. B)will decrease by 2. C)will not change. D)cannot be determined from this information.

Question

Quizplus · Accepted Answer

The objective function value Z will decrease by 12 because the coefficient c2 decreases by 2, and x2 is 6, so the change in Z is 2 * 6 = 12.

A Linear Programming Problem with the Objective Function 3x1

A Linear Programming Problem with the Objective Function 3x₁