Given the following information QD = 240 – 5P QS = P where QD is the quantity demanded, QS is the quantity supplied and P is the price. Suppose that the government decides to impose a tax of $12 per unit on sellers in this market. Determine: Deadweight loss of the tax

Essentials of Economics (MindTap Course List)
8th Edition
ISBN:9781337091992
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter8: Application: The Cost Of Taxation
Section8.2: The Determinants Of The Deadweight Loss
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Question 2h
Given the following information
QD = 240 – 5P
QS = P
%3D
where QD is the quantity demanded, QS is the quantity supplied and P is the price.
Suppose that the government decides to impose a tax of $12 per unit on sellers in this market.
Determine:
Deadweight loss of the tax
Transcribed Image Text:Question 2h Given the following information QD = 240 – 5P QS = P %3D where QD is the quantity demanded, QS is the quantity supplied and P is the price. Suppose that the government decides to impose a tax of $12 per unit on sellers in this market. Determine: Deadweight loss of the tax
Expert Solution
Step 1

Given,

The demand curve,

QD = 240 – 5P

The supply curve,

QS = P

Tax amount = T= $12

Before tax,

Demand = Supply

240 – 5P = P

6P =240

P = $40

Q= 40

Since the government decided to impose the on sellers, the supply function after-tax will be,

QS’ = P-T

QS = P-12

After tax

Demand = New supply

240 – 5P = P-12

6P= 252

P’= $42

Q’= 42-12 = 30

 

 

 

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