Assume that the demand of chocolate of a local producer is given by q = 9 - VP in hundreds of kilograms, where p E [0, 81] is the price of a kilogram in USD. 1. Compute the elasticity of the demand as a function of p, and find where it is unit elastic, elastic, and inelastic. 2. Compute the revenue R(p) in USD as a function of p. Careful of units! 3. Compute R'(25). Interpret this quantity. Remember to write down units.

Microeconomics: Private and Public Choice (MindTap Course List)
16th Edition
ISBN:9781305506893
Author:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Publisher:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Chapter7: Consumer Choice And Elasticity
Section: Chapter Questions
Problem 13CQ: Suppose Erin, the owner-manager of a local hotel projects the following demand for her rooms: a....
icon
Related questions
Question

View image and calculate number 3.

Assume that the demand of chocolate of a local producer is given by q = 9 – VP in
hundreds of kilograms, where pE [0, 81] is the price of a kilogram in USD.
|
1. Compute the elasticity of the demand as a function of p, and find where it is unit
elastic, elastic, and inelastic.
2. Compute the revenue R(p) in USD as a function of p. Careful of units!
3. Compute R'(25). Interpret this quantity. Remember to write down units.
4. What is the sign of R'(25)? Considering what you obtained in Question 1, does this
make sense? Why?
Transcribed Image Text:Assume that the demand of chocolate of a local producer is given by q = 9 – VP in hundreds of kilograms, where pE [0, 81] is the price of a kilogram in USD. | 1. Compute the elasticity of the demand as a function of p, and find where it is unit elastic, elastic, and inelastic. 2. Compute the revenue R(p) in USD as a function of p. Careful of units! 3. Compute R'(25). Interpret this quantity. Remember to write down units. 4. What is the sign of R'(25)? Considering what you obtained in Question 1, does this make sense? Why?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 4 images

Blurred answer
Knowledge Booster
Derivative of Real Variable
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.
Recommended textbooks for you
Microeconomics: Private and Public Choice (MindTa…
Microeconomics: Private and Public Choice (MindTa…
Economics
ISBN:
9781305506893
Author:
James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Publisher:
Cengage Learning
Economics: Private and Public Choice (MindTap Cou…
Economics: Private and Public Choice (MindTap Cou…
Economics
ISBN:
9781305506725
Author:
James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Publisher:
Cengage Learning
Managerial Economics: Applications, Strategies an…
Managerial Economics: Applications, Strategies an…
Economics
ISBN:
9781305506381
Author:
James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:
Cengage Learning
Economics:
Economics:
Economics
ISBN:
9781285859460
Author:
BOYES, William
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
Exploring Economics
Exploring Economics
Economics
ISBN:
9781544336329
Author:
Robert L. Sexton
Publisher:
SAGE Publications, Inc