a) Find the value of consumption, leisure and labour supply. Find the Utility of the Worker b) How does the labour supply change is the worker now get a bonus of $100 regardless of number hours worked? Is leisure normal or inferior. c) Now assume that the wages fall to $10/2-hour – how does the labour supply

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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Question
4
A workers utility function is defined as
follows:
U = 4 L1/4 c3/4
Time endowment is 60 hours
The current wage rate w = $20/2-hour
slot (the workers cannot work single
hours – the minimum slot is 2 hours)
a) Find the value of consumption, leisure
and labour supply. Find the Utility of the
Worker
b) How does the labour supply change is
the worker now get a bonus of $100
regardless of number hours worked? Is
leisure normal or inferior.
c) Now assume that the wages fall to
$10/2-hour – how does the labour supply
change – what can we conclude about
substitution and income effect. By how
much is the consumer worse off as
compared to the first case when wage =
$10/2-hour
Transcribed Image Text:A workers utility function is defined as follows: U = 4 L1/4 c3/4 Time endowment is 60 hours The current wage rate w = $20/2-hour slot (the workers cannot work single hours – the minimum slot is 2 hours) a) Find the value of consumption, leisure and labour supply. Find the Utility of the Worker b) How does the labour supply change is the worker now get a bonus of $100 regardless of number hours worked? Is leisure normal or inferior. c) Now assume that the wages fall to $10/2-hour – how does the labour supply change – what can we conclude about substitution and income effect. By how much is the consumer worse off as compared to the first case when wage = $10/2-hour
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