marginal private benefit

Microeconomics A Contemporary Intro
10th Edition
ISBN:9781285635101
Author:MCEACHERN
Publisher:MCEACHERN
Chapter17: Externalities And The Environment
Section: Chapter Questions
Problem 10PAE
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For firm 1, the marginal private benefit of pollution equals MB1 = 120 − 3q1. For firm 2, the  marginal benefit of pollution equals MB2 = 80 − q2. Assume the marginal private cost of  polluting is 0 in the absence of a tax. 

  1. Some smart people have determined the socially optimal quantity of pollution is  Q = q1 + q2 = 52. Assuming pollution is efficiently allocated between the firms,  how much does each firm emit? Hint: Think about how you would determine the socially optimal quantity using marginal analysis.
  2. What tax results in 52 units of pollution?
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