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1. A Nightclub owner has both student and adult customers. The demand for a typical student is Is-18-3P. The demand for drinks by a typical adult is QA 10-2P. The marginal cost of a drink is $2 and fixed and sunk costs are zero a. If the nightclub owner can separate the 2 groups and practice 3rd degree price discrimination, what price does she charge to each group? What is her profit if she serve: l student and 1 adult? b. If she can card patrons at the door, and charge a fixed entry fee, what price does she charge each group to enter? What is the price per drink? What is her profit if she serves l student and 1 adult? What is her profit per adult? Per student? c. If she instead charges a fixed cost of entry plus a certain number of drink tokens, what price does she charge each group? How many drink tokens does each group get? d. If she can no longer card customers at the door, and she decides to extract all surplus from the lower demand customer (the adult). Design a scheme that is incentive compatible. What is her profit if she serves 1 student and 1 adult? e. Compare her profit in part d to her profit per student in part b. Given this information should she pursue the 2nd degree strategy devised in part d? Why or why not? (under this scenario she still cannot card anyone) f. Describe intuitively the problem with extracting all surplus from the low valuation consumer in 2nd degree price discrimination

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