1. Suppose Beenish has 80 AED. In a nearby store (called "Store A"), the price of good X is p = 2 AED per unit of good X, and the price of good Y is q = 8 AED per unit of good Y. However, Beenish also has a time constraint. At Store A, it takes tx = 4 minutes per unit to purchase good X and ty= 1 minutes per unit to purchase good Y. That means, purchasing a consumption bundle (x, y) = R² at Store A would take 4x + y minutes. Beenish has only 80 minutes to do her shopping. (a) In an appropriate diagram, illustrate Beenish's constraint set, given that she has both a monetary constraint and time constraint.

Principles of Economics 2e
2nd Edition
ISBN:9781947172364
Author:Steven A. Greenlaw; David Shapiro
Publisher:Steven A. Greenlaw; David Shapiro
Chapter10: Monopolistic Competition And Oligopoly
Section: Chapter Questions
Problem 16CTQ: Would you rather have efficiency or variety? That is, one opportunity cost of the variety of...
icon
Related questions
Question
Urgent needed
further away, where Beenish could do her shopping instead. At Store
B, the goods are half-price: good X only costs 1 AED per unit and
good Y only costs 4 AED per unit. At Store B, it still takes tx = 4
minutes per unit to purchase good X and ty = 1 minutes per unit to
purchase good Y. However, it also takes 40 minutes to drive to Store B
and back, and so Beenish's total time for shopping is only 40 minutes
if she travels to Store B.
(a) In an appropriate diagram, illustrate Beenish's constraint set, given
that she has both a monetary constraint and a time constraint but
now has the option between two stores.
(b) Describe Beenish's demand for good X and her demand for good
Y as a function of her preference parameter a, and illustrate her
demand for good X, i.e., x(a), in an appropriate diagram.
(c) For what values of a does Beenish shop in Store A, and for what
values of a does she travel to Store B?
Transcribed Image Text:further away, where Beenish could do her shopping instead. At Store B, the goods are half-price: good X only costs 1 AED per unit and good Y only costs 4 AED per unit. At Store B, it still takes tx = 4 minutes per unit to purchase good X and ty = 1 minutes per unit to purchase good Y. However, it also takes 40 minutes to drive to Store B and back, and so Beenish's total time for shopping is only 40 minutes if she travels to Store B. (a) In an appropriate diagram, illustrate Beenish's constraint set, given that she has both a monetary constraint and a time constraint but now has the option between two stores. (b) Describe Beenish's demand for good X and her demand for good Y as a function of her preference parameter a, and illustrate her demand for good X, i.e., x(a), in an appropriate diagram. (c) For what values of a does Beenish shop in Store A, and for what values of a does she travel to Store B?
Problem 2: Time and monetary constraints with options
There are two goods, X and Y, available in arbitrary non-negative quan-
tities (so the consumption set is R²).
Beenish has preferences over consumption bundles that can be represented
by a differentiable, strictly increasing and strictly quasi-concave utility
function u: R2R+, given by
u(2,y) = r®yl-a
where is the quantity of good X, y is the quantity of good Y, and
a € (0, 1) is a preference parameter.
1. Suppose Beenish has 80 AED. In a nearby store (called "Store A"),
the price of good X is p = 2 AED per unit of good X, and the price
of good Y is q = 8 AED per unit of good Y. However, Beenish also
has a time constraint. At Store A, it takes tx = 4 minutes per unit
to purchase good X and ty = 1 minutes per unit to purchase good Y.
That means, purchasing a consumption bundle (x, y) = R² at Store
A would take 4x + y minutes. Beenish has only 80 minutes to do her
shopping.
(a) In an appropriate diagram, illustrate Beenish's constraint set, given
that she has both a monetary constraint and time constraint.
(b) Describe Beenish's demand for good X and her demand for good Y
as a function of her preference parameter a € (0, 1), and illustrate
her demand for good X, i.e., x(a), in an appropriate diagram.
(c) For what values of a does Beenish not spend all of her wealth? For
what values of a does Beenish spend all of her wealth and use up
all of her available time?
2. Now suppose that there is another store (called "Store B"), which is
Transcribed Image Text:Problem 2: Time and monetary constraints with options There are two goods, X and Y, available in arbitrary non-negative quan- tities (so the consumption set is R²). Beenish has preferences over consumption bundles that can be represented by a differentiable, strictly increasing and strictly quasi-concave utility function u: R2R+, given by u(2,y) = r®yl-a where is the quantity of good X, y is the quantity of good Y, and a € (0, 1) is a preference parameter. 1. Suppose Beenish has 80 AED. In a nearby store (called "Store A"), the price of good X is p = 2 AED per unit of good X, and the price of good Y is q = 8 AED per unit of good Y. However, Beenish also has a time constraint. At Store A, it takes tx = 4 minutes per unit to purchase good X and ty = 1 minutes per unit to purchase good Y. That means, purchasing a consumption bundle (x, y) = R² at Store A would take 4x + y minutes. Beenish has only 80 minutes to do her shopping. (a) In an appropriate diagram, illustrate Beenish's constraint set, given that she has both a monetary constraint and time constraint. (b) Describe Beenish's demand for good X and her demand for good Y as a function of her preference parameter a € (0, 1), and illustrate her demand for good X, i.e., x(a), in an appropriate diagram. (c) For what values of a does Beenish not spend all of her wealth? For what values of a does Beenish spend all of her wealth and use up all of her available time? 2. Now suppose that there is another store (called "Store B"), which is
Expert Solution
steps

Step by step

Solved in 5 steps with 7 images

Blurred answer
Knowledge Booster
Present Worth
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
Principles of Economics 2e
Principles of Economics 2e
Economics
ISBN:
9781947172364
Author:
Steven A. Greenlaw; David Shapiro
Publisher:
OpenStax
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
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
Microeconomics
Microeconomics
Economics
ISBN:
9781337617406
Author:
Roger A. Arnold
Publisher:
Cengage Learning
Economics (MindTap Course List)
Economics (MindTap Course List)
Economics
ISBN:
9781337617383
Author:
Roger A. Arnold
Publisher:
Cengage Learning