Armando consumes two goods: grapes and wine. He can purchase both at the market and also possesses a technology that allows him to costlessly convert any quantity of grapes into the same number of units of wine. This technology is not reversible: there is no quantity of wine that he can convert to grapes. Thus, for example, if he purchases 4 units of grapes and 3 units of wine, he could consume any bundle (4-s,3+s) with s € [0,4]. Armando's utility from consuming a units of grapes and y units of wine is u(x, y) = r²y. For each of the following questions, you may use, without proof, any results from the lectures for this course. (a) Find Armando's Marshallian demand expressed in terms of the bundle he consumes (i.e., of monon into min

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

please  only do: if you can teach explain steps 

 

Armando consumes two goods: grapes and wine. He can purchase both at the market and
also possesses a technology that allows him to costlessly convert any quantity of grapes into
the same number of units of wine. This technology is not reversible: there is no quantity
of wine that he can convert to grapes. Thus, for example, if he purchases 4 units of grapes
and 3 units of wine, he could consume any bundle (4-s,3+ s) with s € [0,4]. Armando's
utility from consuming units of grapes and y units of wine is u(x, y) = r²y. For each of the
following questions, you may use, without proof, any results from the lectures for this course.
(a) Find Armando's Marshallian demand expressed in terms of the bundle he consumes (i.e.,
after any conversion of grapes into wine).
Solution: Let pi denote the price of grapes and p2 the price of wine. If p₁ <p2, he can
produce wine at lower cost than he can buy it, so will only buy grapes. In this case, it
is as if both goods are priced at p₁, which gives demand (2w/3p1, w/3p1). If p1 ≥ P2, he
has no need to convert grapes to wine and will demand (2w/3p1, w/3p2). Therefore, his
demand is
x(p, w) =
(2w/3p1, w/3p1)
(2w/3p1, w/3p2)
if p₁ <p2,
if p₁ ≥ P2.
Transcribed Image Text:Armando consumes two goods: grapes and wine. He can purchase both at the market and also possesses a technology that allows him to costlessly convert any quantity of grapes into the same number of units of wine. This technology is not reversible: there is no quantity of wine that he can convert to grapes. Thus, for example, if he purchases 4 units of grapes and 3 units of wine, he could consume any bundle (4-s,3+ s) with s € [0,4]. Armando's utility from consuming units of grapes and y units of wine is u(x, y) = r²y. For each of the following questions, you may use, without proof, any results from the lectures for this course. (a) Find Armando's Marshallian demand expressed in terms of the bundle he consumes (i.e., after any conversion of grapes into wine). Solution: Let pi denote the price of grapes and p2 the price of wine. If p₁ <p2, he can produce wine at lower cost than he can buy it, so will only buy grapes. In this case, it is as if both goods are priced at p₁, which gives demand (2w/3p1, w/3p1). If p1 ≥ P2, he has no need to convert grapes to wine and will demand (2w/3p1, w/3p2). Therefore, his demand is x(p, w) = (2w/3p1, w/3p1) (2w/3p1, w/3p2) if p₁ <p2, if p₁ ≥ P2.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Risk Aversion
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