A consumer's utility function is given by the expression: U = (0.6x*s + 0.4Y*s)*. • Determine the marginal utility functions for each commodity. Does marginal utility decrease when consumption increases? • Assuming that the price of good X is Rs 15 and the price of Y is Rs 6, write the equation of the budget line and plot it when income is Rs 450. What is its slope? What does it indicate? • Calculate the marginal rate of substitution of Y for X and interpret its economic meaning. Write the equation showing consumer's equilibrium condition.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter4: Utility Maximization And Choice
Section: Chapter Questions
Problem 4.5P
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A consumer's utility function is given by the
expression: U = (0.6.x"s + 0.4Y"s)*.
%3D
• Determine the marginal utility functions for each
commodity. Does marginal utility decrease when
consumption increases?
Assuming that the price of good X is Rs 15 and the
price of Y is Rs 6, write the equation of the budget line
and plot it when income is Rs 450. What is its slope?
What does it indicate?
• Calculate the marginal rate of substitution of Y for X
and interpret its economic meaning. Write the equation
showing consumer's equilibrium condition.
Obtain the equilibrium values of X and Y.
• Find the expressions for change in MUx due to increase
in Y and change in MUy due to increase in X.
Transcribed Image Text:A consumer's utility function is given by the expression: U = (0.6.x"s + 0.4Y"s)*. %3D • Determine the marginal utility functions for each commodity. Does marginal utility decrease when consumption increases? Assuming that the price of good X is Rs 15 and the price of Y is Rs 6, write the equation of the budget line and plot it when income is Rs 450. What is its slope? What does it indicate? • Calculate the marginal rate of substitution of Y for X and interpret its economic meaning. Write the equation showing consumer's equilibrium condition. Obtain the equilibrium values of X and Y. • Find the expressions for change in MUx due to increase in Y and change in MUy due to increase in X.
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