Two consumers, Owen and Sylvan have preferences over two goods, X (on the horizontal axis) and Y. Owen's utility function is U₂ (X, Y) = 12X + 3Y, while Sylvan's utility function is Us (X,Y)= 6X + 8Y, where X, Y > 0. Owen has £120 to spend, while Sylvan has £168 to spend. The market demand and supply functions for good X are: Qax = 500 - 7P; Qsx = 180 +9P. The market demand and supply functions for good Y are: Qay = 600 - 12P; Qsy = 120 +8P. Which of the following is correct? (a) Owen will purchase 6 units of good X and 0 units of good Y, while Sylvan will purchase 0 units of good X and 7 units of good Y. (b) Owen will purchase 0 units of good X and 5 units of good Y, while Sylvan will purchase 8.4 units of good X and 0 units of good Y.
Two consumers, Owen and Sylvan have preferences over two goods, X (on the horizontal axis) and Y. Owen's utility function is U₂ (X, Y) = 12X + 3Y, while Sylvan's utility function is Us (X,Y)= 6X + 8Y, where X, Y > 0. Owen has £120 to spend, while Sylvan has £168 to spend. The market demand and supply functions for good X are: Qax = 500 - 7P; Qsx = 180 +9P. The market demand and supply functions for good Y are: Qay = 600 - 12P; Qsy = 120 +8P. Which of the following is correct? (a) Owen will purchase 6 units of good X and 0 units of good Y, while Sylvan will purchase 0 units of good X and 7 units of good Y. (b) Owen will purchase 0 units of good X and 5 units of good Y, while Sylvan will purchase 8.4 units of good X and 0 units of good Y.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question

Transcribed Image Text:2.
Two consumers, Owen and Sylvan have preferences over two goods, X (on the horizontal
axis) and Y. Owen's utility function is Uo (X, Y) = 12X + 3Y, while Sylvan's utility
function is Us (X,Y)
=
6X +8Y, where X, Y > 0. Owen has £120 to spend, while Sylvan
has £168 to spend. The market demand and supply functions for good X are: Qax =
500 - 7P; Qsx 180 +9P. The market demand and supply functions for good Y are:
Qay = 600 - 12P; Qsy = 120 + 8P. Which of the following is correct?
=
(a) Owen will purchase 6 units of good X and 0 units of good Y, while Sylvan will
purchase 0 units of good X and 7 units of good Y.
(b) Owen will purchase 0 units of good X and 5 units of good Y, while Sylvan will
purchase 8.4 units of good X and 0 units of good Y.

Transcribed Image Text:(c) Owen will purchase 5 units of good X and 0 units of good Y, while Sylvan will
purchase 0 units of good X and 8.4 units of good Y.
(d) Owen will purchase 7.5 units of good X and 0 units of good Y, while Sylvan will
purchase 0 units of good X and 42 units of good Y.
(e)
Owen will purchase 6 units of good X and 0 units of good Y, while Sylvan will
purchase 8.4 units of good X and 0 units of good Y.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps with 8 images

Knowledge Booster
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


Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON

Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON


Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON

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)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning

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-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education