Question: A small theater has a seating capacity of 2000. When the ticket price is $20, attendance is 1500. For each $1 decrease in price, attendance

A small theater has a seating capacity of 2000. When the ticket price is $20, attendance is 1500. For each $1 decrease in price, attendance increases by 100.
(a) Write the revenue R of the theater as a function of ticket price x.
(b) What ticket price will yield a maximum revenue? What is the maximum revenue?

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