1) Maverick Airlines has two types of customers: (i) average and (ii) special. It offers two types of service: (i) economy and (ii) business. The average cost per flight of the services and the customer's average willingness-to-pay per flight are summarized in the table below. Maverick has 1 million customers and estimates 75% of customers are average and 25% are special. a) If Maverick only offered economy service, what would be the optimal price to charge? What are Maverick's expected profits at this price? b) If Maverick only offered business service, what would be the optimal price to charge? What are Maverick's expected profits at this price? c) Suppose Maverick offers both plans and wants average customers to buy economy service and special customers to buy business service. Let PE and PB denote the price of economy and business service, respectively. What are the incentive-compatibility constraints for both types of customers? d) Derive the optimal pricing plan to induce average customers to buy economy service and special customers to buy business service. What are Mavericks expected profits with this pricing plan