Macon Controis produces three diferent types of conlrol units used to prolect industrial equipment from overheating. Each of these units must be processed by a machine that Macon considers to be their process botteneck. The plant operates on two d-hour shifts, 5 days per week, 52 weeks per yoar. The tabie below provides the time standards at the botlleneck, lot sizes, and demand forecasts for the three units. Because of demand uncertainties, the operations manager oblained three demand forecasts (pessimistic, expected, and optimistic). The manager believes that a 20 percent capacity cushion is best a. How many machines are required to meet minimum (Possimistic) demand, expected demand, and maximum (Oplimistic) demand? (Enfer your responses rounded up to the next whole number) b. How many mackines are required it the operabicns marager decides to double lot kires? (Enter your responses roundod up fo the nexf whole number ) c. If the operations manager has three machines and believes that the plant can reduce sedup time by 20 percent through process improvement initiatives, does thar plant have adequate capacity to meet all demand scenarios without increasing lot sizes? (Enter your responses rounded up fo the next whole number)