12.1 Assume an economy of two firms and two consumers. The two firms pollute. Firm one has a marginal savings function of MS₁(e) = 5 - e where e is the quantity of emissions from the firm. Firm two has a marginal savings function of MS2(e) = 8 - 2e. Each of the two consumers has marginal damage MD(e): =e, where e in this case is the total amount of emissions the consumer is exposed to. a. Graph the firm-level and aggregate marginal savings functions. b. Graph the aggregate marginal damage function. c. What is the optimal level of pollution, the appropriate Pigovian fee, and emissions from each firm?
12.1 Assume an economy of two firms and two consumers. The two firms pollute. Firm one has a marginal savings function of MS₁(e) = 5 - e where e is the quantity of emissions from the firm. Firm two has a marginal savings function of MS2(e) = 8 - 2e. Each of the two consumers has marginal damage MD(e): =e, where e in this case is the total amount of emissions the consumer is exposed to. a. Graph the firm-level and aggregate marginal savings functions. b. Graph the aggregate marginal damage function. c. What is the optimal level of pollution, the appropriate Pigovian fee, and emissions from each firm?
Principles of Microeconomics
7th Edition
ISBN:9781305156050
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter10: Externalities
Section: Chapter Questions
Problem 10PA
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