If club members charge $9 admission to a classic car show, 1,000 people will attend, and for each $1 increase in price, 100 fewer people will attend. Let x represent the amount of increase in price (in dollars). Find R(x), the total revenue function (in dollars). R(x) = Find R'(x). R'(x) = What price will give the maximum revenue for the show? per ticket Find the maximum revenue.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
icon
Related questions
Question
If club members charge $9 admission to a classic car show, 1,000 people will attend, and for each $1 increase in price, 100 fewer people will attend. Let \( x \) represent the amount of increase in price (in dollars).

Find \( R(x) \), the total revenue function (in dollars).

\[ R(x) = \text{[Input box]} \]

Find \( R'(x) \).

\[ R'(x) = \text{[Input box]} \]

What price will give the maximum revenue for the show?

\$ \text{[Input box]} per ticket

Find the maximum revenue.

\$ \text{[Input box]}
Transcribed Image Text:If club members charge $9 admission to a classic car show, 1,000 people will attend, and for each $1 increase in price, 100 fewer people will attend. Let \( x \) represent the amount of increase in price (in dollars). Find \( R(x) \), the total revenue function (in dollars). \[ R(x) = \text{[Input box]} \] Find \( R'(x) \). \[ R'(x) = \text{[Input box]} \] What price will give the maximum revenue for the show? \$ \text{[Input box]} per ticket Find the maximum revenue. \$ \text{[Input box]}
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
Economics
ISBN:
9780190931919
Author:
NEWNAN
Publisher:
Oxford University Press
Principles of Economics (12th Edition)
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
Engineering Economy (17th Edition)
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
Principles of Economics (MindTap Course List)
Principles of Economics (MindTap Course List)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Managerial Economics: A Problem Solving Approach
Managerial Economics: A Problem Solving Approach
Economics
ISBN:
9781337106665
Author:
Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:
Cengage Learning
Managerial Economics & Business Strategy (Mcgraw-…
Managerial Economics & Business Strategy (Mcgraw-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education