Suppose there are two consumers, A and B, and two goods, X and Y. Consumer A's utility function is given by: UA(X. Y) = X*Y3 And consumer B's utility function is given by UB(X,Y) = X*Y. Therefore, consumer A's marginal utilities for each good are given by: MUy = Y3 MUy=3X*Y2 Also, consumer B's marginal utilities for each good are given by: MUx= Y MUy = X Initial Endowments are given by Person A has 40 units of good X and 20 units of good Y. Person B has 30 units of good X and 20 units of good Y. Suppose Py = 1, a) What is the value of Py that will result in a competitive equilibrium? (Ans: Py=1/3, but I don't know why) b) How much of each good will each consumer demand in equilibrium

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 92E
icon
Related questions
Question
Suppose there are two consumers, A and B, and two goods, X and Y. Consumer A's utility function is given by: UA(X. Y) = X*Y3 And consumer B's utility function is given by UB(X,Y) = X*Y. Therefore, consumer A's marginal utilities for each good are given by: MUy = Y3 MUy=3X*Y2 Also, consumer B's marginal utilities for each good are given by: MUx= Y MUy = X Initial Endowments are given by Person A has 40 units of good X and 20 units of good Y. Person B has 30 units of good X and 20 units of good Y. Suppose Py = 1, a) What is the value of Py that will result in a competitive equilibrium? (Ans: Py=1/3, but I don't know why) b) How much of each good will each consumer demand in equilibrium
Expert Solution
steps

Step by step

Solved in 4 steps with 5 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning