Refer to the Par, Inc., problem described in Section $2\mathrm{.}1.$ Suppose that Par's management

encounters the following situations:

a$.$ The accounting department revises its estimate of the profit contribution for the deluxe

bag to $$18$ per bag.

b$.$ A new low$-$cost material is available for the standard bag, and the profit contribution

per standard bag can be increased to $$20$ per bag. $($Assume that the profit contribution

of the deluxe bag is the original $$9$ value.$)$

c$.$ New sewing equipment is available that would increase the sewing operation capacity

to $750$ hours. $($Assume that $10A+9B$ is the appropriate objective function.$)$ If each of

these situations is encountered separately, what is the optimal solution and the total

profit contribution?