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?