Question $5$

A section of output from Excel Solver is shown below.

What will happen to the solution if the objective function coefficient for Product A increases by $30?$

The problem will need to be resolved to find the new optimal solution and shadow prices.

The same decision variables will be positive, but their values, the objective function value, and the shadow

prices will change.

Nothing. The values of the decision variables, the shadow prices, and the objective function will all remain the

same.

The value of the objective function will change, but the values of the decision variables and the shadow prices

will remain the same.A linear program has been solved and sensitivity analysis has been performed. The ranges for the

objective function coefficients 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 profit on

this variable is lowered to $70$ and the optimal solution is found?

None of the answers are possible

A new corner point will become optimal

The solution values for all the decision variables will remain the same

A redundant constraint exists in the problem

The maximum possible total profit may increase