The following utility functions are defined over three goods, x, y, and z. Calculate the demand functions for each good, h¡ for j = X, y, z,as functions of the prices px, Py, Pz,and income, m.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Question
(b)
u(x, y, z) = x + - In(y) + In(z)
m
3
if m > 흑Px
2
Px
h(Pxı Pyr Pzi m) =
if m s.
Px
if m >
hy(Pxı Pyı Pzı m) =
3
m -
P.
imsPx
Px
Px
if m >
P2
hz(Pxı Pyı Pzı m) =
3
m- Px
fms측px
Px
The following utility functions are defined
over three goods, x, y, and z. Calculate the
demand functions for each good, h¡ for j = X,
y, z,as functions of the prices px, Py, Pz,and
income, m.
|
Transcribed Image Text:(b) u(x, y, z) = x + - In(y) + In(z) m 3 if m > 흑Px 2 Px h(Pxı Pyr Pzi m) = if m s. Px if m > hy(Pxı Pyı Pzı m) = 3 m - P. imsPx Px Px if m > P2 hz(Pxı Pyı Pzı m) = 3 m- Px fms측px Px The following utility functions are defined over three goods, x, y, and z. Calculate the demand functions for each good, h¡ for j = X, y, z,as functions of the prices px, Py, Pz,and income, m. |
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