Firms A and B each produce 80 units of pollution. The federal government wants to reduce pollution levels. The marginal costs associated with pollution reduction are MCA = 50 + 3QA for firm A and MCB = 20 + 6QB for firm B, where QA and QB are the quantities of pollution reduced by each firm. Society’s marginal benefit from pollution reduction is given by MB = 590 – 3Qtot, where Qtot is the total reduction in pollution. How much total pollution is there in the social optimum?

Microeconomics
13th Edition
ISBN:9781337617406
Author:Roger A. Arnold
Publisher:Roger A. Arnold
Chapter17: Market Failure: Externalities, Public Goods, And Asymmetric Information
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Firms A and B each produce 80 units of pollution. The federal government wants to reduce pollution levels. The marginal costs associated with pollution reduction are MCA = 50 + 3QA for firm A and MCB = 20 + 6QB for firm B, where QA and QB are the quantities of pollution reduced by each firm. Society’s marginal benefit from pollution reduction is given by MB = 590 – 3Qtot, where Qtot is the total reduction in pollution. How much total pollution is there in the social optimum?

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