La Durazno is the only resort hotel on a small desert island off the coast of South America. It faces two market segments: bargain travelers and highend travelers. The demand curve for bargain travelers is given by Q1 : 400 2P1. The demand curve for highend travelers is given by Q2 = 500 P2. In each equation, Q denotes the number of travelers of each type who stay at the hotel each day, and P denotes the price of one room per day. The marginal cost of serving an additional traveler of either type is $20 per traveler per day. a) Under the assumption that there is a positive demand from each type of traveler, what is the equation of the overall market demand curve facing the resort? b) What is the prot-maximizing price under the assumption that the resort must set a uniform price for all travelers? For the purpose of this problem, you may assume that at the protmaximizing price, both types of travelers are served. Under the uniform price, what fraction of customers are bargain travelers, and what fraction are high end? c) Suppose that the resort can engage in third-degree price discrimination based on whether a traveler is a high-end traveler or a bargain traveler. What is the protmaximizing price in each segment? Under price discrimination, what fraction of customers are bargain travelers and what fraction are high end