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An airline has two types of customers: vacationers and business executives. There is an equal number of vacationers and business executives. The quality of service (cabin space, cancellation fees, quality of food, ...) is summarized by an index q. The value of a ticket of quality q (willingness to pay) for a vacationer is an; - q, while for a business executive the value is 103 - q, where 101; = 50 and 103 = 75. The airline's cost of a ticket of quality q is (12/2. The airline offers two types of tickets, one of quality q.) at price 191; and the other of quality qB at price 303. (a) Unrealistically, suppose the airline could distinguish vacationers and business execu tives, and make sure that a vacationer can only buy a ticket (11; at price 301;, and each business executive can only buy a ticket qB at price 303. What qualities and what prices would the airline offer