Utility function U(X,Y)=(x^(3/4))(Y^(1/4)) 1)Suppose Px=2, Py=1, and Income is 100. What are the new levels of demand for X and Y? 2) Digrammatically show  the income and substitution effect from 3 to 2 on the consumption of x. You must explicitly specify the optimal consumption bundles for the different sets of prices (appropriatly graph and label actual quantities) but you may qualitatively specify anything else deemed relevant. 3)Which effect (substitution or income) will move you along a given indifference curve? And for this question, do you move to the left or right along the given indifference curve and does this increase of decrese MRS. Also, explicitly specify what the MRS is equal to before and after you move along the indiferrence curve.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter4: Utility Maximization And Choice
Section: Chapter Questions
Problem 4.13P
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Utility function U(X,Y)=(x^(3/4))(Y^(1/4))

1)Suppose Px=2, Py=1, and Income is 100. What are the new levels of demand for X and Y?

2) Digrammatically show  the income and substitution effect from 3 to 2 on the consumption of x. You must explicitly specify the optimal consumption bundles for the different sets of prices (appropriatly graph and label actual quantities) but you may qualitatively specify anything else deemed relevant.

3)Which effect (substitution or income) will move you along a given indifference curve? And for this question, do you move to the left or right along the given indifference curve and does this increase of decrese MRS. Also, explicitly specify what the MRS is equal to before and after you move along the indiferrence curve. 

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