There are two goods in the world, pumpkins (x1), and apple cider (x2). Pumpkins are $2 each. Cider is $7 per gallon for the.first two gallons. After the second gallon, the price of cider drops to $4 per gallon. a. Peter's income is $54. Draw his budget line. Solve for the intercepts on the x1 and x2 axis and kink in the budget line. Show these in your graph. b. Peter's utility function is u(x1, x2) = x1 +3x2  Sketch some indifference curves in your graph. Find Peter's optimal consumption bundle (x1* x2* ) c. Paul's income is $22. Draw his budget line in a new graph. Solve for the intercepts on the x1 and x2 axes, and the kink in the budget line. Show these in your graph for Paul. d. Paul's utility function is u( x1 , x2) = min(3x1, 2x2). Sketch some indifference curves in your graph for Paul. Find Paul's optimal consumption bundle (x1* x2* )

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

There are two goods in the world, pumpkins (x1), and apple cider (x2). Pumpkins are $2 each. Cider is $7 per gallon for the.first two gallons. After the second gallon, the price of cider drops to $4 per gallon.

a. Peter's income is $54. Draw his budget line. Solve for the intercepts on the xand x2 axis and kink in the budget line. Show these in your graph.

b. Peter's utility function is u(x1, x2) = x1 +3x2  Sketch some indifference curves in your graph. Find Peter's optimal consumption bundle (x1* x2* )

c. Paul's income is $22. Draw his budget line in a new graph. Solve for the intercepts on the x1 and x2 axes, and the kink in the budget line. Show these in your graph for Paul.

d. Paul's utility function is u( x1 , x2) = min(3x1, 2x2). Sketch some indifference curves in your graph for Paul. Find Paul's optimal consumption bundle (x1* x2* )

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Budget Constraint
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
  • 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