1. ( 25 points) A machine will be used to manufacture two products A, and B. Sales forecast for A and B are 35,000 and 45,000 units per year respectively. Production rate for A is 20 units per hour. Production rate for B is 15 units per hour. Scrap rates for both products are 5% each. The plant will operate 52 weeks, 7 days per week, 3 shifts per day and 6.5 hours per shift. Downtime for each machine is expected to be 5%. Assuming that setup times are negligible, how many machines are needed to satisfy demand? 1. ( 25 points) A machine will be used to manufacture two products A, and B. Sales forecast for A and B are 35,000 and 45,000 units per year respectively. Production rate for A is 20 units per hour. Production rate for B is 15 units per hour. Scrap rates for both products are 5% each. The plant will operate 52 weeks, 7 days per week, 3 shifts per day and 6.5 hours per shift. Downtime for each machine is expected to be 5%. Assuming that setup times are negligible, how many machines are needed to satisfy demand