# Question

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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