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 21,000. 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. $8.5 (C). What ticket price is so high that no revenue is generated? Enter a number

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
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ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
ChapterB: Differential Calculus Techniques In Management
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Please complete part (a) and part (c). Circle your answer for a thumbs up :)

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 21,000. 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.
$ 8.5
(c). What ticket price is so high that no revenue is generated?
Enter a number.
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 21,000. 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. $ 8.5 (c). What ticket price is so high that no revenue is generated? Enter a number.
Expert Solution
Step 1

Information Given:

Total number of Spectators=52,000

Ticket price(x)=$10

average attandence= 21,000

 

Let, ticket price=P

the amount by which ticket price is lowered= 10-p

Increase in attendence=3000(10-p)

attendence=21000+3000(10-p)=51,000-3000p

 

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