12. The Vanier Cup, the finals of Canadian University football, was held on November 26, 2016 at Tim Hortons Field in Hamilton, Ontario. The organizers learned a lot are already planning next year's event! Based on what they learned this year, they know that the demand function for tickets to the game will be given by q = 200, 000 – 10, 000p, where p is the price charged per ticket. The chief organizer for next year is an ambitious person who wants to set prices so as to maximize revenue. (a) Write down an expression for the inverse demand function (price as a function of quantity), total revenue (as a function of quantity), and marginal revenue (as a function of quantity). (b) Find the quantity and price that generate maximum revenue. Derive an expression for the elasticity of ticket demand with respect to price. (Hint: your elasticity should be a function of the price, p.) What is the value of the elasticity at the revenue-maximizing price (your answer for price from part b)?

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
icon
Related questions
Question
12. The Vanier Cup, the finals of Canadian University football, was held on November 26, 2016
at Tim Hortons Field in Hamilton, Ontario. The organizers learned a lot are already planning
next year's event! Based on what they learned this year, they know that the demand function
for tickets to the game will be given by q = 200, 000 - 10, 000p, where p is the price charged
per ticket. The chief organizer for next year is an ambitious person who wants to set prices
so as to maximize revenue.
(b)
Write down an expression for the inverse demand function (price as a function of
quantity), total revenue (as a function of quantity), and marginal revenue (as a function
of quantity).
Find the quantity and price that generate maximum revenue.
(c) Derive an expression for the elasticity of ticket demand with respect to price. (Hint:
your elasticity should be a function of the price, p.) What is the value of the elasticity
at the revenue-maximizing price (your answer for price from part b)?
Transcribed Image Text:12. The Vanier Cup, the finals of Canadian University football, was held on November 26, 2016 at Tim Hortons Field in Hamilton, Ontario. The organizers learned a lot are already planning next year's event! Based on what they learned this year, they know that the demand function for tickets to the game will be given by q = 200, 000 - 10, 000p, where p is the price charged per ticket. The chief organizer for next year is an ambitious person who wants to set prices so as to maximize revenue. (b) Write down an expression for the inverse demand function (price as a function of quantity), total revenue (as a function of quantity), and marginal revenue (as a function of quantity). Find the quantity and price that generate maximum revenue. (c) Derive an expression for the elasticity of ticket demand with respect to price. (Hint: your elasticity should be a function of the price, p.) What is the value of the elasticity at the revenue-maximizing price (your answer for price from part b)?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 13 images

Blurred answer
Knowledge Booster
Incomplete Information
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Similar 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