a. Solve for the equilibrium price and the equilibrium quantity. b. Suppose that a tax of Tis placed on buyers, so the new demand equation is QD = 300 – (P + T). Solve for the new equilibrium. What happens to the price received by sellers, the price paid by buyers, and the quantity sold? c. Tax revenue is TxQ. Use your answer to part (b) to solve for tax revenue as a function of T.

Principles of Macroeconomics (MindTap Course List)
8th Edition
ISBN:9781305971509
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter8: Application: The Costs Of Taxation
Section: Chapter Questions
Problem 10PA
icon
Related questions
Question
Suppose that a market is described by the following supply and demand equations:
QS = 3P
QD = 400 – P
a. Solve for the equilibrium price and the equilibrium quantity.
b. Suppose that a tax of Tis placed on buyers, so the new demand equation is
QD = 300 – (P + T).
Solve for the new equilibrium. What happens to the price received by sellers, the price paid by
buyers, and the quantity sold?
c. Tax revenue is T x Q. Use your answer to part (b) to solve for tax revenue as a function of T.
d. The deadweight loss of a tax is the area of the triangle between the supply and demand curves.
Recalling that the area of a triangle is 12 x base x height, solve for deadweight loss as a function
of T.
e. The government now levies a tax on this good of $200 per unit. Is this a good policy? Why or
why not? Can you propose a better policy?
Transcribed Image Text:Suppose that a market is described by the following supply and demand equations: QS = 3P QD = 400 – P a. Solve for the equilibrium price and the equilibrium quantity. b. Suppose that a tax of Tis placed on buyers, so the new demand equation is QD = 300 – (P + T). Solve for the new equilibrium. What happens to the price received by sellers, the price paid by buyers, and the quantity sold? c. Tax revenue is T x Q. Use your answer to part (b) to solve for tax revenue as a function of T. d. The deadweight loss of a tax is the area of the triangle between the supply and demand curves. Recalling that the area of a triangle is 12 x base x height, solve for deadweight loss as a function of T. e. The government now levies a tax on this good of $200 per unit. Is this a good policy? Why or why not? Can you propose a better policy?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

Blurred answer
Knowledge Booster
Tax Revenue
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
Principles of Macroeconomics (MindTap Course List)
Principles of Macroeconomics (MindTap Course List)
Economics
ISBN:
9781305971509
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Principles of Microeconomics (MindTap Course List)
Principles of Microeconomics (MindTap Course List)
Economics
ISBN:
9781305971493
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Principles of Macroeconomics (MindTap Course List)
Principles of Macroeconomics (MindTap Course List)
Economics
ISBN:
9781285165912
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Essentials of Economics (MindTap Course List)
Essentials of Economics (MindTap Course List)
Economics
ISBN:
9781337091992
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Microeconomics: Principles & Policy
Microeconomics: Principles & Policy
Economics
ISBN:
9781337794992
Author:
William J. Baumol, Alan S. Blinder, John L. Solow
Publisher:
Cengage Learning
Microeconomics A Contemporary Intro
Microeconomics A Contemporary Intro
Economics
ISBN:
9781285635101
Author:
MCEACHERN
Publisher:
Cengage