# Question: Consider the graphical solution to the product mix problem Now

Consider the graphical solution to the product mix problem. Now imagine that another constraint—any constraint—is added. Which of the following three things are possible:

(1) The feasible region shrinks;

(2) The feasible region stays the same;

(3) The feasible region expands?

Which of the following three things are possible:

(1) The optimal value in objective cell decreases;

(2) The optimal value in objective cell stays the same;

(3) The optimal value in objective cell increases?

Explain your answers. Do they hold just for this particular model, or do they hold in general?

(1) The feasible region shrinks;

(2) The feasible region stays the same;

(3) The feasible region expands?

Which of the following three things are possible:

(1) The optimal value in objective cell decreases;

(2) The optimal value in objective cell stays the same;

(3) The optimal value in objective cell increases?

Explain your answers. Do they hold just for this particular model, or do they hold in general?

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