QUESTION 1 According to last year's Macy's customer survey on demand for winter coats in the Fall season, the willingness to pay of customers is uniformly distributed between $0 and $900. Assuming that the demand pattern this year is the same as last year, what is the optimal price that Macy's should set for their winter coats in the Fall? O 1.$450 O 2. $800 O 3.$350 O 4.$150 QUESTION 2 Suppose that the total potential demand for the winter coats in the Fall season is 9000 customers. And Macy's only has 4000 winter coats to last until the end of Fall. In this case, what is the optimal price that Macy's should set for their winter coats given the survey data in the previous question? O 1. $200 O 2.$150 O 3.$500 O 4.$350 QUESTION 3 Ignore Q2 data to answer this question. Suppose that the total potential demand for the winter coats in the Fall season is 9000 customers with a willingness-to-pay distribution as defined in Q1. In another survey conducted in Winter last year, Macy's discovered that almost 100% of the customers are willing to pay a maximum of $800 for a winter coat in Winter. However, the total potential demand for winter coats in the Winter season is only 5000. Suppose that Macy's only has 9000 winter coats at the beginning of fall with no possibility of getting another order until Fall next year. In this case, what are the optimal prices for a winter coat in Fall and in Winter? O 1.$450 for Fall and $800 for Winter O 2.$200 for Fall and $800 for Winter O 3. $500 for Fall and $800 for Winter O 4.$800 for Fall and Winter