A baseball team plays in a stadium that holds 52,000 spectators. With the ticket price at $10, the average attendance at recent games has been 33,000. 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. (Let x represent the price of a ticket and R represent the revenue.) R(x) (b) Find the price that maximizes revenue from ticket sales. (c) What ticket price is so high that no revenue is generated? $

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.7: A Library Of Parent Functions
Problem 47E
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A baseball team plays in a stadium that holds 52,000 spectators. With the ticket price at $10, the average attendance at recent games has been 33,000. 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. (Let x represent the price of a ticket and R represent the revenue.)
R(x) =
(b) Find the price that maximizes revenue from ticket sales.
$
(c) What ticket price is so high that no revenue is generated?
Transcribed Image Text:A baseball team plays in a stadium that holds 52,000 spectators. With the ticket price at $10, the average attendance at recent games has been 33,000. 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. (Let x represent the price of a ticket and R represent the revenue.) R(x) = (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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