Plants A and B emit 12 tons and 6 tons of carbon dioxide (CO2), respectively. MAC(marginal abatement costs) for a = 12 - Ea, MACb=12-2Eb MD(marginal damage) = 1/3*E (E indicates CO2 emission) What is the social optimum for power plants A and B to reduce CO2 by some amount, and how much reduction cost each power plant bears?

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Plants A and B emit 12 tons and 6 tons of carbon dioxide (CO2), respectively.

MAC(marginal abatement costs) for a = 12 - Ea, MACb=12-2Eb

MD(marginal damage) = 1/3*E (E indicates CO2 emission)

What is the social optimum for power plants A and B to reduce CO2 by some amount, and how much reduction cost each power plant bears? 

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Wouldn't it be correct to say E=12, not 2E=12 for 12–(2/3)E=(1/3)E?

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