Assume an economy of two firms and two consumers. The two firms pollute. Firm one has a marginal savings function of MS, (e) = 5-e where e is the quantity of emis- sions 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 is 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 emis- sions from each firm?

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1. Assume an economy of two firms and two consumers. The two firms pollute. Firm
one has a marginal savings function of MS, (e) = 5-e where e is the quantity of emis-
sions 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 is 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 emis-
sions from each firm?
Transcribed Image Text:1. Assume an economy of two firms and two consumers. The two firms pollute. Firm one has a marginal savings function of MS, (e) = 5-e where e is the quantity of emis- sions 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 is 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 emis- sions from each firm?
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