Par, Inc., is a small manufacturer of golf equipment and supplies whose management has decided to move into the market for medium- and high-priced golf bags. After a thorough investigation of the steps involved in manufacturing a golf bag, management determined that each golf bag produced will require the following operations: cutting and dyeing the material, sewing, finishing, and inspection and packaging. A mathematical model has been developed that shows the constraints of production, time, and cost. It can be used to determine the number of standard bags and the number of deluxe bags to produce in order to maximize total profit contribution. Let S = number of standard bags. Let D = number of deluxe bags. Max 105 + 9D s.t. Ls + 10 $ 630 10 Cutting and Dyeing Ls + 20 3 600 Sewing 2 15+ D $708 Finishing 1 s + _Ds 135 Inspection and Packaging 10 S, D 2 0 Refer to the Par, Inc., problem described above and in Section 2.1. 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. The optimal solution occurs at (S, D) = with a profit of $ (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.) The optimal solution occurs at (5, D) = with a profit of $ (c) New sewing equipment is available that would increase the sewing operation capacity to 725 hours. (Assume that 10A + 98 is the appropriate objective function.) The optimal solution occurs at (S, D) = with a profit of $ Need Help? Read It