The manager of a theater is trying to determine the price to charge for tickets to a

Chapter 5, Problem 82

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The manager of a theater is trying to determine the price to charge for tickets to a show. If the price is too low, there will not be enough money to cover expenses. If the price is too high, they may not get enough playgoers. The manager estimates that the profit, P, in hundreds of dollars per show, can be represented by where t is the price of a ticket in dollars. The manager is considering charging between $0 and $24. a. Graph the profit function for the given range of prices. b. The theater breaks even when profit is zero. For what ticket prices does the theater break even? c. What price results in maximum profit? What is the maximum profit?

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