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Suppose that a concert hall faces the following demand curve for its evening shows: QE =40−.8P and the following demand for its afternoon shows: QA =24−.8P where Q is the number of tickets in thousands and P is the price of a ticket in dollars. Assume that the concert hall’s marginal cost is constant at $10 per ticket. (a) Suppose the concert hall charges the same price for all shows. What is its profit- maximizing price? How many tickets are sold at this price? What is the concert hall’s producer surplus? (b) Now suppose the concert hall decides to charge more for evening shows than for afternoon shows. To maximize its profit, what price should it charge for an evening show? For an afternoon show? How will the concert hall’s producer surplus change as a result of this pricing strategy?
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