Appalachian Coal Mining believes that it can increase labor productivity and, therefore, net revenue by reducing air pollution in its mines. It estimates that the marginal cost function for reducing pollution by installing additional capital equipment is  MC = 40P where P represents a reduction of one unit of pollution in the mines. It also feels that for every unit of pollution reduction, the marginal increase in revenue (MR) is  MR = 1,000 - 10P How much pollution reduction should Appalachian Coal Mining undertake?

Microeconomics
13th Edition
ISBN:9781337617406
Author:Roger A. Arnold
Publisher:Roger A. Arnold
Chapter17: Market Failure: Externalities, Public Goods, And Asymmetric Information
Section17.3: Environmental Policy
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Appalachian Coal Mining believes that it can increase labor productivity and, therefore, net revenue by reducing air pollution in its mines. It estimates that the marginal cost function for reducing pollution by installing additional capital equipment is 

MC = 40P

where P represents a reduction of one unit of pollution in the mines. It also feels that for every unit of pollution reduction, the marginal increase in revenue (MR) is 

MR = 1,000 - 10P

How much pollution reduction should Appalachian Coal Mining undertake?

Please provide the correct answer. Thank you!

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