You own a theater company and you have an upcoming event.a. You decide to charge 24 dollars per ticket. Construct a basic ticket revenue function R(n) (in dollars), where n is the number of tickets sold.R (n) =dollarsEditb. You need to pay 400 dollars to keep the box office open for ticket sales. Construct the profit function, P(n), using R(n) in part a.2P (n) =dollarsEditc. You decide to give 25 free tickets to the patrons of your company. Modify your function in part b. to reflect this for n 2 25dollars for n 2 25Edit

Question
Asked Apr 22, 2019
You own a theater company and you have an upcoming event.
a. You decide to charge 24 dollars per ticket. Construct a basic ticket revenue function R(n) (in dollars), where n is the number of tickets sold.
R (n) =
dollars
Edit
b. You need to pay 400 dollars to keep the box office open for ticket sales. Construct the profit function, P(n), using R(n) in part a.
2
P (n) =
dollars
Edit
c. You decide to give 25 free tickets to the patrons of your company. Modify your function in part b. to reflect this for n 2 25
dollars for n 2 25
Edit
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You own a theater company and you have an upcoming event. a. You decide to charge 24 dollars per ticket. Construct a basic ticket revenue function R(n) (in dollars), where n is the number of tickets sold. R (n) = dollars Edit b. You need to pay 400 dollars to keep the box office open for ticket sales. Construct the profit function, P(n), using R(n) in part a. 2 P (n) = dollars Edit c. You decide to give 25 free tickets to the patrons of your company. Modify your function in part b. to reflect this for n 2 25 dollars for n 2 25 Edit

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Expert Answer

Step 1

(a)

The charge per ticket is 24 dollars.

The number of tickets sold is n.

Then, the basic ticket revenue function is,

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Step 2

(b)

The charge to keep the box office open for tickets is 400 dollars.

That is, from the sales amount we have to pay 400 dollars.

Then, the resulted amount is the profit function.

Since the revenue function is 24n, subtract 400 from 24n and obtain the profit function.

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Step 3

(c)

We have to give 25 tickets as free.

That is, out of n tickets, only n-25 tickets can be encashed.

Substitute n-25 for n in the Profi...

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