A coat manufacturer wants to build a large factory or a small factory. The profit per coat is estimated as $10. Per year, a small factory's cost is $250,000, with a production capacity of 60,000 coats and a large factory's cost is $400,000, with a production capacity of 120,000 coats. The four levels of manufacturing demand that are considered likely are 40,000, 50,000, 60,000, and 120,000 coats per year. Complete parts (a) through (e). a. Determine the payoffs for the possible levels of production for a small factory. Manufacturing demand (coats per year) 40,000 Payoff ($) 50,000 60,000 120,000 (Simplify your answers.) b. Determine the payoffs for the possible levels of production for a large factory. Manufacturing demand (coats per year) Payoff ($) 40,000 50,000 60,000 120,000 (Simplify your answers.) c. Based on the results of (a) and (b), construct a payoff table, indicating the events and alternative courses of action. Event Alternative Course of Action Small factory, A ($) Large factory, B ($) Demand of 40,000 coats/year, 1 Demand of 50,000 coats/year, 2 Demand of 60,000 coats/year, 3 Demand of 120,000 coats/year, 4 (Simplify your answers.) d. Construct a decision tree. Note that event 1 represents a manufacturing demand of 40,000 coats per year, event 2 represents a manufacturing demand of 50,000 coats per year, event 3 represents a manufacturing demand of 60,000 coats per year, and event 4 represents a manufacturing demand of 120,000 coats per year. Also, action A represents the building of a small factory and action B represents the building of a large factory. Choose the correct answer below. A. B $150,000 -$100,000 -$200,000 $350,000 -250,000 $350,000 4 $800,000 B. 1 $150,000 -$250,000 $350,000 B 4 $350,000 $0 $100,000 $200,000 4 -$800,000 C. $0 -$100,000 -$200,000 $800,000 -150,000 B -250,000 -$350,000 4 $350,000 e. Construct an opportunity loss table. Profit of Optimum Optimum Alternative Course of Action Event Action Action ($) Small factory, A (S) Large factory, B ($) 1 2 3 4 (Simplify your answers.)