For a maximization problem, assume that a constraint is binding. If the original amount of a resource is 4 lbs. and the range of feasibility (sensitivity range) for this constraint is from 3 lbs. to 6 lbs., increasing the amount of this resource by 1 lb. will result in the
A) same product mix, different total profit.
B) different product mix, same total profit as before.
C) same product mix, same total profit.
D) different product mix, different total profit.

Question

Quizplus · Accepted Answer

Since the constraint is binding and the increase in resource amount (from 4 lbs. to 5 lbs.) is within the range of feasibility (3 lbs. to 6 lbs.), the product mix will remain the same because the constraint continues to be fully utilized. However, the total profit will increase because the additional resource allows for more production within the existing optimal mix.

For a Maximization Problem, Assume That a Constraint Is Binding