Stadium Revenue A baseball team plays in a stadium thatholds 55,000 spectators. With the ticket price at $10, theaverage attendance at recent games has been 27,000. A market survey indicates that for every dollar the ticket price islowered, attendance increases by 3000.(a) Find a function that models the revenue in terms of ticketprice.(b) Find the price that maximizes revenue from ticket sales.(c) What ticket price is so high that no revenue is generated?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
Problem 65E
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Stadium Revenue A baseball team plays in a stadium that
holds 55,000 spectators. With the ticket price at $10, the
average attendance at recent games has been 27,000. A market survey indicates that for every dollar the ticket price is
lowered, attendance increases by 3000.
(a) Find a function that models the revenue in terms of ticket
price.
(b) Find the price that maximizes revenue from ticket sales.
(c) What ticket price is so high that no revenue is generated?

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