3. Chicago Bulls play in the United Center with a seating capacity of 25,000 spectators. With the ticket price set at $ 25, the average attendance at a game has been 15,000. A market survey indicates that each dollar the ticket price is lowered, average attendance will increase by 1000. (a) Find the demand function p (x). The demand function p (x) represents tickets price as a function of number of tickets sold. (b) The following table provides some data that relates the number of tickets sold with the ticket price(demand). Based on the data, how should the owners of Chicago Bulls set the ticket price to maximize their revenue from ticket sales? Explain. p(x) 16,000 18,000 20,000 22,000 24,000 24 22 20 18 16

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