Afirm has an industrial plant that emits pollutants into a town’s lake. The plant’s marginal abatement function is MAC= 200 – 0.5E and damages caused by its emissions are given by MD = 2E where emissions are in kg. per day. What is the socially efficient level of emissions from this plant? Illustrate this in a graph.   As an incentive to reduce emissions to the socially efficient level, government offers to pay the firm for each kg. of emissions it abates per day from this plant.   What subsidy per kg. should the government offer? If the plant abates to the socially efficient level of emissions, what total subsidy payment would the firm receive? Identify the area in your graph.

Principles of Microeconomics
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ISBN:9781305156050
Author:N. Gregory Mankiw
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Chapter10: Externalities
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Afirm has an industrial plant that emits pollutants into a town’s lake. The plant’s marginal abatement function is MAC= 200 – 0.5E and damages caused by its emissions are given by MD = 2E where emissions are in kg. per day.

What is the socially efficient level of emissions from this plant? Illustrate this in a graph.

 

As an incentive to reduce emissions to the socially efficient level, government offers to pay the firm for each kg. of emissions it abates per day from this plant.

 

What subsidy per kg. should the government offer?

If the plant abates to the socially efficient level of emissions, what total subsidy payment would the firm receive? Identify the area in your graph.

How much better or worse off would the firm be compared to if it did no abating? Identify the area in your graph.

What would be the net benefit to society if we pay the firm to reduce the plant’s emissions to the socially efficient level? Identify this area in your graph.

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