Component Processing Macon Controls produces three different types of control units used to protectindustrial equipment from overheating. Each of these units must be processed by a machine that Macon considers to be their process bottleneck. The plant operates on two hour shifts, 5 days per week 52 weeks per your. The table below 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 . Time Standard Demand Forecast Setup Lot Size (hrlunit) Charlot) (units/lot) Pessimistic Expected Optimistic 10 50 15,000 17.000 27.000 0.20 43 75 10.000 13.000 17,000 0.06 8.6 100 17,000 24,000 40.000 a. How many machines are required to meet minimum (Pessimistic) demand, expected demand, and maximum (Optimistic) demand? (Enter your responses rounded up to the next whole number) Demand Forecast Capacity Requirement (M) Pessimistie machines Expected machines Optimistic machines