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
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Chapter10: Externalities
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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?
Transcribed Image Text: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?
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