Question

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 increased, the attendance decreases by 3,000.

(a) Let x be the ticket price (in dollars). Find q(x) which represents how many people will attend the ballgame when the ticket price is x.

(b) The ballpark’s revenue is R(x) = x · q(x). Find this quadratic function.

(c) Determine what price the ballpark should charge for a ticket in order to maximize revenue.

(d) What is the maximum revenue the ballpark can generate?

Answer #1

If you have any confusion regarding the answer please ask and rate ?

) A baseball team plays in a stadium that holds 58000
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a) Find the demand function p(x), where xx is the number of the
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p(x)=
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b) How should ticket prices be set to maximize revenue?
The revenue is maximized by charging $
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Round to nearest cent.

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people attend the game. At $12 per ticket, 50,000 people attend the
game. On average, everyone spends $4 on concessions. the capacity
of the stadium is 60,000 people. With the information given we wish
to construct the price function p(x) where x is the number of
people in attendance. From this, we construct the revenue function
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