the Marshallian Demands for the utility function U(x,y) =0.5x + 5ln y a) For this utility function calculate the Hicksian demand functions for x and y. b) Use your Marshallian and Hicksian demand functions to calculate the partial derivative of both Marshallian and Hicksian demand for x with respect to px and the partial derivative of Marshallian demand with respect to income. c) Use your answers for (b) to verify the Slutsky equation

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter5: Income And Substitution Effects
Section: Chapter Questions
Problem 5.4P
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the Marshallian Demands for the utility function U(x,y) =0.5x + 5ln y
a) For this utility function calculate the Hicksian demand functions for x and y.
b) Use your Marshallian and Hicksian demand functions to calculate the partial derivative of both Marshallian and Hicksian demand for x with respect to px and the partial derivative of Marshallian demand with respect to income.
c) Use your answers for (b) to verify the Slutsky equation

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