ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN: 9780190931919
Author: NEWNAN
Publisher: Oxford University Press
Bartleby Related Questions Icon

Related questions

Question
In the 1980s, President Reagan based his tax and spending policies õñ supply side
economics. The idea behind supply side economics is the marginal tax rate is so high
it discourages work. Cutting the tax rate would end up increasing tax revenue. We
develop a simple model of this idea to determine the restrictions on the utility function
required to generate a Laffer curve. Let t denote the tax rate, w the real wage rate,
and n the labor supply. The tax revenue is
T = wnT
where wn is labor income, which is the tax base. For convenience, assume w is constant.
There is no reason for this assumption to be true, but we impose it to focus on the
restrictions on the utility function to generate the Laffer curve. As the tax rateT
increases, workers substitute toward leisure and away from consumption. Hence as 7
rises, wn falls and tax revenue falls for high enough tax rates.
Let U, V satisfy the standard assumptions. The model is static and households are
endowed with one unit of time. A representative household solves
max [U(c) +V (1 – n)]
{c,n}
subject to
wn(1 – 7) > c.
(a) Derive the first-order conditions and show the solution is a pair of functions
c(w, T), n(w, 7).
(b) Determine the impact of an increase in t on the labor supply decision. Show the
answer depends on the sign of
U"(c)c+U'(c)
expand button
Transcribed Image Text:In the 1980s, President Reagan based his tax and spending policies õñ supply side economics. The idea behind supply side economics is the marginal tax rate is so high it discourages work. Cutting the tax rate would end up increasing tax revenue. We develop a simple model of this idea to determine the restrictions on the utility function required to generate a Laffer curve. Let t denote the tax rate, w the real wage rate, and n the labor supply. The tax revenue is T = wnT where wn is labor income, which is the tax base. For convenience, assume w is constant. There is no reason for this assumption to be true, but we impose it to focus on the restrictions on the utility function to generate the Laffer curve. As the tax rateT increases, workers substitute toward leisure and away from consumption. Hence as 7 rises, wn falls and tax revenue falls for high enough tax rates. Let U, V satisfy the standard assumptions. The model is static and households are endowed with one unit of time. A representative household solves max [U(c) +V (1 – n)] {c,n} subject to wn(1 – 7) > c. (a) Derive the first-order conditions and show the solution is a pair of functions c(w, T), n(w, 7). (b) Determine the impact of an increase in t on the labor supply decision. Show the answer depends on the sign of U"(c)c+U'(c)
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Economics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
ENGR.ECONOMIC ANALYSIS
Economics
ISBN:9780190931919
Author:NEWNAN
Publisher:Oxford University Press
Text book image
Principles of Economics (12th Edition)
Economics
ISBN:9780134078779
Author:Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:PEARSON
Text book image
Engineering Economy (17th Edition)
Economics
ISBN:9780134870069
Author:William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:PEARSON
Text book image
Principles of Economics (MindTap Course List)
Economics
ISBN:9781305585126
Author:N. Gregory Mankiw
Publisher:Cengage Learning
Text book image
Managerial Economics: A Problem Solving Approach
Economics
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Cengage Learning
Text book image
Managerial Economics & Business Strategy (Mcgraw-...
Economics
ISBN:9781259290619
Author:Michael Baye, Jeff Prince
Publisher:McGraw-Hill Education