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. The social optimum requires MB = MCA = MCg. Setting MCA =MCg and solving for QA in terms of Qg, we have QA = QB - Setting MCg = MB, plugging in for QA in terms of QB, and solving for Qg, 20 + 6Qg = 590 - 3Qtot = 590 - %3D 3(QA + QB) = QB. Hint: Type integers.

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QUESTION 5
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 MCg = 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.
The social optimum requires MB = MCA = MCg. Setting MCA =MCg and solving for QA in terms of QB, we
have QA =
QB -
Setting MCB = MB, plugging in for QA in terms of QB, and solving for QB, 20 + 6QB = 590 - 3Qtot = 590 -
3(QA + QB) =
QB. Hint: Type integers.
Transcribed Image Text:QUESTION 5 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 MCg = 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. The social optimum requires MB = MCA = MCg. Setting MCA =MCg and solving for QA in terms of QB, we have QA = QB - Setting MCB = MB, plugging in for QA in terms of QB, and solving for QB, 20 + 6QB = 590 - 3Qtot = 590 - 3(QA + QB) = QB. Hint: Type integers.
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