5.12 Quasi-linear utility (revisited) Consider a simple quasi-linear utility function of the form U(x, y) = x + In y. a. Calculate the income effect for each good. Also calculate the income elasticity of demand for each good. b. Calculate the substitution effect for each good. Also calculate the compensated own-price elasticity of demand for each good. c. Show that the Slutsky equation applies to this function. d. Show that the elasticity form of the Slutsky equation also applies to this function. Describe any special features you observe.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter5: Income And Substitution Effects
Section: Chapter Questions
Problem 5.12P
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5.12 Quasi-linear utility (revisited)
Consider a simple quasi-linear utility function of the form
U(x, y) = x + ln y.
a. Calculate the income effect for each good. Also calculate
the income elasticity of demand for each good.
b. Calculate the substitution effect for each good. Also
calculate the compensated own-price elasticity of
demand for each good.
c. Show that the Slutsky equation applies to this function.
d. Show that the elasticity form of the Slutsky equation also
applies to this function. Describe any special features you
observe.
pralization of this quasi-linear utility
Transcribed Image Text:S 5.12 Quasi-linear utility (revisited) Consider a simple quasi-linear utility function of the form U(x, y) = x + ln y. a. Calculate the income effect for each good. Also calculate the income elasticity of demand for each good. b. Calculate the substitution effect for each good. Also calculate the compensated own-price elasticity of demand for each good. c. Show that the Slutsky equation applies to this function. d. Show that the elasticity form of the Slutsky equation also applies to this function. Describe any special features you observe. pralization of this quasi-linear utility
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