Calculus

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At a price of $7.5 per ticket, a musical theater group can fill every seat in their 1550 seat performance hall. For every additional dollar charged for admission, the number of tickets sold drops by 55.
a) What ticket price maximizes revenue? Round your answer to the nearest cent.
price = $

b) How many seats are sold at that price? Round your answer to the nearest whole number.
number of seats sold =

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