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) none of the above

Question

Quizplus · Accepted Answer

If an added amount could be found for only one of the scarce resources, the optimal mix will be rearranged to use the added resource to its fullest capacity, which will cause the value of the objective function to rise. This is because the added resource can now be utilized more efficiently, since it was previously a limiting factor. The solution changes to make use of the added resource, and the optimal mix will be modified accordingly to maximize the objective function.

A Linear Programming Maximization Problem Has Been Solved