$5$ pts

Alinear program has been solved and sensitivity analysis has been performed. The ranges for the objective function coeffieients have been found. For the profit on $x,$ the upper bound is $80,$ the lower bound is $60,$ and the current value is $75.$ Which of the following must be true if the prolit on this variable is increased to $80$ and the optimal solution is found?

The range of feasibility has been exceeded and the LP must be recalculated

A redundant constraint exists in the problem

Anew comer point will berome optimal

The range of optimality has been exceeded and the LP must be recalculated

The optinal solution for all of the decision variables will rembin the same