Consider two firms with the following marginal abatement costs (MAC) as a function of emissions (E): MAC_1 = 18 - 2E_1 MAC_2 = 12 - E_2, and assume marginal external damages (MED) from the aggregate emissions of both firms (E_Agg = E_1 + E_2) is: MED = .5E_Agg. To achieve the socially efficient level of aggregate emissions (E*_Agg), the government institutes a per-unit tax on emissions.  In principle, firms could continue to emit pollution as they were in the absence of government intervention, but by cutting back on emissions, their total compliance costs (tax payment plus total abatement costs) goes down.  How much money can firms save if they reduce their emissions to E*_Agg in response to the tax?

Economics (MindTap Course List)
13th Edition
ISBN:9781337617383
Author:Roger A. Arnold
Publisher:Roger A. Arnold
Chapter30: Market Failure: Externalities, Public Goods, And Asymmetric Information
Section: Chapter Questions
Problem 8QP
icon
Related questions
Question

Consider two firms with the following marginal abatement costs (MAC) as a function of emissions (E):

MAC_1 = 18 - 2E_1

MAC_2 = 12 - E_2,

and assume marginal external damages (MED) from the aggregate emissions of both firms (E_Agg = E_1 + E_2) is:

MED = .5E_Agg.

To achieve the socially efficient level of aggregate emissions (E*_Agg), the government institutes a per-unit tax on emissions.  In principle, firms could continue to emit pollution as they were in the absence of government intervention, but by cutting back on emissions, their total compliance costs (tax payment plus total abatement costs) goes down.  How much money can firms save if they reduce their emissions to E*_Agg in response to the tax?

Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Economics (MindTap Course List)
Economics (MindTap Course List)
Economics
ISBN:
9781337617383
Author:
Roger A. Arnold
Publisher:
Cengage Learning
Microeconomics
Microeconomics
Economics
ISBN:
9781337617406
Author:
Roger A. Arnold
Publisher:
Cengage Learning
Principles of Microeconomics
Principles of Microeconomics
Economics
ISBN:
9781305156050
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
Principles of Economics (MindTap Course List)
Principles of Economics (MindTap Course List)
Economics
ISBN:
9781305585126
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