(2) 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 wy q, while for a business executive the value is wB:9, where wy = 50 and wb = 75. The airline's cost of a ticket of quality a is q/2. The airline offers two types of tickets, one of quality qv at price pv and the other of quality qB at price pe. (a) Unrealistically, suppose the airline could distinguish vacationers and business execu- tives, and make sure that a vacationer can only buy a ticket qv at price pv, and each business executive can only buy a ticket qB at price PB. What qualities and what prices would the airline offer? (b) Now, assume the airline cannot distinguish vacationers and business executives. So, to make sure that a business executive buys ticket qB at price pb, it must be that he prefers this to the ticket qy at price pv. That is, wB9B PB > WB qv pv. What qualities and what prices would the airline offer now? (2) 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 wy q, while for a business executive the value is wB:9, where wy = 50 and wb = 75. The airline's cost of a ticket of quality a is q/2. The airline offers two types of tickets, one of quality qv at price pv and the other of quality qB at price pe. (a) Unrealistically, suppose the airline could distinguish vacationers and business execu- tives, and make sure that a vacationer can only buy a ticket qv at price pv, and each business executive can only buy a ticket qB at price PB. What qualities and what prices would the airline offer? (b) Now, assume the airline cannot distinguish vacationers and business executives. So, to make sure that a business executive buys ticket qB at price pb, it must be that he prefers this to the ticket qy at price pv. That is, wB9B PB > WB qv pv. What qualities and what prices would the airline offer now