please answer 7A, B & C.

A Systematic Approach to Long-Term Capacity Decisions 6. Purple Swift manufactures birdhouses in lots of 10 . Each birdhouse takes 45 minutes to paint. After 10 birdhouses are painted, the company switches paint color. which requires a 1-hour changeover. The company works 8 hours per shift, one shift per day, 220 days per year. Currently the company has one paint booth. What is Purple Swift's paint capacity cushion if it builds 2,000 birdhouses per year? 7. Macon Controls produces three different types of control units used to protect industrial equipment from overheating. Each of these units must be processed by a machine that Macon considers to be its process bottleneck. The plant operates on two 8 -hour shifts. 5 days per week, 52 weeks per year. Table 5.2 provides the time standards at the bottleneck, lot sizes, and demand forecasts for the three units. Because of demand uncertainties, the operations manager obtained three demand forecasts (pessimistic, expected, and optimistic). The manager believes that a 20 percent capacity cushion is best. TABLE 5.2 | CAPACITY INFORMATION FOR MACON CONTROLS a. How many machines are required to meet minimum (pessimistic) demand, expected demand, and maximum (optimistic) demand? b. How many machines are required if the operations manager decides to double lot sizes? c. If the operations manager has three machines and believes that the plant can neduce setup time by 20 percent through process improvement initiatives, does that plant have adequate capacity to meet all demand scenarios without increasing lot sizes