The demand for tickets to an amusement park is given by p= 70 – 0.02q, where p is the price of a ticket in dollars and q is the number of people attending at that price. - (a) What price generates an attendance of 3000 people? What is the total revenue at that price? What is the total revenue if the price is $20? A price of $ generates an attendance of 3000 people and total revenue of $ When the price is $20 the total revenue is $ (b) Write the revenue function as a function of attendance, q, at the amusement park. R(q) : (c) What attendance maximizes revenue?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.1: Techniques For Finding Derivatives
Problem 64E: Dogs Human Age From the data printed in the following table from the Minneapolis Star Tribune on...
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The demand for tickets to an amusement park is given by
p= 70 – 0.02q, where p is the price of a ticket in dollars and q is the
number of people attending at that price.
(a) What price generates an attendance of 3000 people? What is the
total revenue at that price? What is the total revenue if the price
is $20?
A price of $
generates an attendance of 3000
people and total revenue of $
When the price is $20 the total revenue is $
(b) Write the revenue function as a function of attendance, q, at the
amusement park.
R(q) :
(c) What attendance maximizes revenue?
|(d) What price should be charged to maximize revenue?
The optimal price for a ticket
at the amusement park is $
(e) What is the maximum revenue? Can we determine the
corresponding profit?
Revenue =
$
Choose one
The corresponding profit
be determined.
can
cannot
Transcribed Image Text:The demand for tickets to an amusement park is given by p= 70 – 0.02q, where p is the price of a ticket in dollars and q is the number of people attending at that price. (a) What price generates an attendance of 3000 people? What is the total revenue at that price? What is the total revenue if the price is $20? A price of $ generates an attendance of 3000 people and total revenue of $ When the price is $20 the total revenue is $ (b) Write the revenue function as a function of attendance, q, at the amusement park. R(q) : (c) What attendance maximizes revenue? |(d) What price should be charged to maximize revenue? The optimal price for a ticket at the amusement park is $ (e) What is the maximum revenue? Can we determine the corresponding profit? Revenue = $ Choose one The corresponding profit be determined. can cannot
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