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 the sheraints contribution. Let S= number of standard bags Let D= number of deluxe bags. Max10S+9D s.t. 107S+1D630 Cutting and Dyeing 21S+65D600 Sewing 1S+32D708 Finishing 101S+41D135 Inspection and Packaging S,D0 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 $ profit contribution of the deluxe bag is the original $9 value.) The optimal solution occurs at (S,D)=( with a profit of $ (c) New sewing equipment is available that would increase the sewing operation capacity to 775 hours. (Assume that 10A+9B is the appropriate objective function.) The optimal solution occurs at (S,D)=( with a profit of $