The goods in the next question are not ale and bread. To solve this question, you are going to have to evaluate the condition The price p is defined for you, but you will have to define the marginal rate of substitution for yourself. What ratio of marginal utilities should you use? You will know the answer to this question once you have defined the marginal rate of

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
icon
Related questions
Question

The goods in the next question are not ale and bread. To solve this question, you are going to have to evaluate the condition

The price p is defined for you, but you will have to define the marginal rate of substitution for yourself. What ratio of marginal utilities should you use? You will know the answer to this question once you have defined the marginal rate of substitution – that is, decided which good is being given up and which good is being given in compensation. When making this decision, remember that both sides of this equation refer to the same kind of trade. The right-hand side describes the rate at which one good can be traded for the other in the marketplace; and the left-hand side describes the rate at which someone is willing to trade that good for the other. Thus, the definition of the price determines the manner in which the marginal rate of substitution must be defined.

Pierre lives on red wine and blue cheese. His utility function is.

where w is his consumption of wine and c is his consumption of cheese. He is endowed with 4 kilograms of cheese and 8 bottles of wine. He can trade these commodities in a marketplace, where the price of red wine, measured in blue cheese, is p.

a) Find Pierre’s optimal consumption of wine and cheese at any given price p.

b) Find the quantity of wine that Pierre would like to buy at any given price p.

c) Suppose that Pierre trades with Gabrielle, whose excess demand for wine is

Find the market-clearing price.

Expert Solution
steps

Step by step

Solved in 6 steps

Blurred answer
Knowledge Booster
Utility Function
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