A maximizing linear programming problem with constraints C1, C2, and C3 has been solved. The dual values associated with the problem are C1 = $2, C2 = $0.50, and C3 = $0. Which statement below is False? A) One more unit of the resource in C1 would add $2 to the objective function value. B) One more unit of the resource in C2 would add one more unit each of X and Y. C) The resource in C3 has not been used up D) The resources in C1 and in C2, but not in C3, are scarce. E) All of the above are true.

Question

Quizplus · Accepted Answer

The dual value for constraint C2 indicates that increasing the amount of resource in that constraint will not affect the objective function value. Therefore, adding one more unit of the resource in C2 would not necessarily add one more unit of X and Y to the solution.

A Maximizing Linear Programming Problem with Constraints C1, C2, and C3