Refer to the Par, Inc., problem described above and in Section $2\mathrm{.}1.$ Suppose that Par, Inc., management encounters the following situations. Assuming that Par, Inc., encounters each of these situations separately, what is the optimal solution and the total profit contribution for each situation described?

$($a$)$

The accounting department revises its estimate of the profit contribution for the deluxe bag to $$18$ per bag.