The southeast sales manager for Manufacturer's Aluminum Supply makes most of her outside sales by playing either golf or tennis with potential clients. From much past experience, she estimates that various levels of playing golf and tennis generate the following amounts of additional sales (MB): Number of Additional sales Number of Additional sales rounds of golf generated tennis matches generated (G) (M33) (7) (MBT) 1 $2,500 1 $2,400 2 2,000 2 2,250 3 1,750 3 2,100 4 1,375 4 1,800 5 1,250 5 1,500 6 1,200 6 1,050 7 1,125 7 750 8 1,100 8 600 One round of golf (18 holes) takes 5 hours to play (including a half-hour stop at the clubhouse), and one tennis match (best two out of three sets) takes 3 hours to complete. The sales manager can get away from the ofce to play golf and tennis only 20 hours each week. a. What is the optimal number of rounds of golf to play and the optimal number of tennis matches to play? b. Suppose the sales manager gets sick one week and can only play 12 hours of golf and tennis. What level of golf and tennis play is optimal