Suppose the representative consumer has the (quasilinear) utility function: U(x. y) = ax + In()) where x,y are consumption goods. Denominated in US dollars, the prices of x and y and pz, respectively. (a) What does the term quasilinear mean? Is consumption of x independent of y? (b) Assume the consumer has a budget of C dollars at his/her disposal. What is the maximum utility the consumer may achieve with this budget? (c) What is the minimum expenditure if the consumer wants to derive U,units of utility?

ECON MICRO
5th Edition
ISBN:9781337000536
Author:William A. McEachern
Publisher:William A. McEachern
Chapter6: Consumer Choice And Demand
Section: Chapter Questions
Problem 2.5P
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5. Suppose the representative consumer has the (quasilinear) utility function:
U(x, y) = ax + In(v)
where x,y are consumption goods. Denominated in US dollars, the prices of x and y
Pi and pz, respectively.
(a) What does the term quasilinear mean? Is consumption of x independent of y?
(b) Assume the consumer has a budget of C dollars at his/her disposal. What is the maximum
utility the consumer may achieve with this budget?
(c) What is the minimum expenditure if the consumer wants to derive U,units of utility?
Transcribed Image Text:5. Suppose the representative consumer has the (quasilinear) utility function: U(x, y) = ax + In(v) where x,y are consumption goods. Denominated in US dollars, the prices of x and y Pi and pz, respectively. (a) What does the term quasilinear mean? Is consumption of x independent of y? (b) Assume the consumer has a budget of C dollars at his/her disposal. What is the maximum utility the consumer may achieve with this budget? (c) What is the minimum expenditure if the consumer wants to derive U,units of utility?
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