Two machines (a grinding machine and a rolling machine) are required to make each of five products with the processing time, average lot size, and setup time given in Table 10.13. Each machine is notorious for breaking down frequently; thus, the company wants to maintain a 30 percent capacity cushion. Each machine is available for 12 hours per day, 260 days per year. Deter-mine how many machines of each type are required.

Product A Product B 30,000 1,000 Product CProduct D Product E 20,000 2,000 10,000 Annual demand Average lot size Grinding machine 24,000 3,000 800 Processing time (minutes) Setup time (minutes) 100 240 400 150 90 Rolling machine Processing time (minutes) Setup time (minutes) 0.5 1.5 70 100 45