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performance driving instruction on actual racetracks. Because safety is a primary consid cration at sach events, many owners elect to install roll bars in their cars. Deegan fidastrie manufactares two types of roll bars for Porsches. Model DRB is belted to the car using ex isting holes in the car's frame. Model DRW is a heavier roll bar that must be welded to the car's frame. Modcl DRB requires 20 pounds of a special high-alloy steel, 40 minutes o. manufacturing timc, and 60 minutes of assembly time. Model DRW requires 25 pounds o the special high-aliay steel, 100 minutes of manufacturing time, and 40 minutes of assem bly time. Decgan's steel supplicr indicated that at most 40,000 pounds of the high-alloy seel will be available next quarter. In addition. Decgan estimates that 2000 hours of man ufacturing time and 1600 hours of assembly time will be available next quarter. The grofi coatributions afe $200 per unit for model DRB and $280 per snit for model DRW. The lin ear programming model for this problem is as follows: Max 200DRB+280DRW s.t. The sensitivity report is shomn in Figure 8.21. a. What are ihe optimal solution and the total profit eontribution? b. Anocher supplier offered to provide Decgan Industries with an additional 500 pound of the steel alloy at $2 per pound. Shoald Decgan purchase the additional pounds o the steel alloy? Explain. c. Deegan is comsidering using overtime to increave the available assembly tine. Whar woald you advise Decgan fo do regarding this option? Explain. d. Because of increased coanpetition, Dcegan is considering reducing the price of mode DRB such that the new contribution to profit is $175 per anit. How would this changi in price affect the optimal solution? Explain. c. If the available manofacturing time is increased by 500 hours, will the shadow prict for the mannfacturing time constraint change? Explain. FIGURE 8.21 SENSITIVITY REPORT FOR THE DEEGAN INDUSTRIES