Par, Inc, is a small inanufacturer of golf equipenent and supplies whose manogement has dedded to move inko the merket for medium- end high-priced gair bags. Atar a thorough invetigation of the steps involved in manufecturing a gaif bog, management determined that each golf bag produced will require the following operstions: atting and dyoing the material. sewing, finishing, and inspection and packaging. A mathernatical model has been developed that shows the constraints of production, tiene, and cost. It an be used to deternine the number of standard bags and the number of deluxe bags to produce in order to meximise total profit contribution. Let s = number of standard bags. Let D= number at deluxe bogs. Refer to the Pac, tnc, problem deseribed above and in Section 2.1. Suppose that Por, fnc, menagement encounters the following situations. If each of these sutustions is encountered seporately, what is the optimal solution and the total profit contribution? (a) The accounting departinent revises its estimate of the peofit cintribution for the deluxe bog to 518 per bag. The optimel solution occurs ot (S,0)=( with a profit of 5 (b) A new low cost materiat is availabie for the standard bog, and the profit contribution per standard bag can be increased to 520 per big. (Assurne that the profit contr tuben of the deluse bag is the onginal $9 value.) The optimal salution occurs at (5,D)= with a profit of 5 The optimat solution nocurs of (S,D)=( watra profit of s