A linear programming maximization problem has been solved. In the optimal solution, two resources are scarce. If an added amount could be found for only one of these resources, how would the optimal solution be changed?
A) The shadow price of the added resource will rise.
B) The solution stays the same; the extra resource can't be used without more of the other scarce resource.
C) The extra resource will cause the value of the objective to fall.
D) The optimal mix will be rearranged to use the added resource, and the value of the objective function will rise.
E) The extra resource will cause the value of the objective to rise.

Question

Quizplus · Accepted Answer

In the optimal solution, the mix of resources is already at its maximum level taking into account the scarcity of both resources. Therefore, if an additional amount of one resource is added, the optimal mix will be rearranged to use this added resource. This will increase the value of the objective function because more of the scarce resource is available.

A Linear Programming Maximization Problem Has Been Solved