The demand for tickets to an amusement park is given by p= 80 -0.04q, 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 1750 people? What is the total revenue at that price? What is the total revenue if the price is $20? A price of $ 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) generates an attendance of 1750 (c) What attendance maximizes revenue?
The demand for tickets to an amusement park is given by p= 80 -0.04q, 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 1750 people? What is the total revenue at that price? What is the total revenue if the price is $20? A price of $ 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) generates an attendance of 1750 (c) What attendance maximizes revenue?
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.6: Wind And Water Current Problems
Problem 7P
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Transcribed Image Text:The demand for tickets to an amusement park is given by
p = 80 -0.04q, 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 1750 people? What is the
total revenue at that price? What is the total revenue if the price
is $20?
A price of $
people and total revenue of $
generates an attendance of 1750
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?
C
M
Transcribed Image Text:R(q)
(c) What attendance maximizes revenue?
q=
(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 = $
The corresponding profit Choose one
be determined.
4
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