Suppose there are two firms that each emit 30 units of pollution, and the State Pollution Board wants to reduce this level to a total of 20 units between both firms. They decide to allocate 10 permits to each firm, where each permit will allow 1 unit of emissions per permit. Assume the following information, where TAC is total abatement cost and MAC is marginal abatement cost: TAC₁=10+.75A₁² TAC₂=5+.5A₂² a. b. If each firm keeps its 10 permits, how much will they each spend in total to reduce emissions? Is there a more cost-efficient solution than the one you found in part a? Please explain and find this solution. c. How much will the two firms each spend in total to reduce emissions at the cost-efficient solution? d. How many permits will be sold? Who will sell them? How much will they sell for?

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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1. Suppose there are two firms that each emit 30 units of pollution, and the State Pollution Board wants
to reduce this level to a total of 20 units between both firms. They decide to allocate 10 permits to
each firm, where each permit will allow 1 unit of emissions per permit. Assume the following
information, where TAC is total abatement cost and MAC is marginal abatement cost:
a.
b.
TAC₁=10+.75A,²
TAC₂=5+.5A₂²
If each firm keeps its 10 permits, how much will they each spend in total to reduce emissions?
Is there a more cost-efficient solution than the one you found in part a? Please explain and find
this solution.
c. How much will the two firms each spend in total to reduce emissions at the cost-efficient
solution?
d.
How many permits will be sold? Who will sell them? How much will they sell for?
Transcribed Image Text:1. Suppose there are two firms that each emit 30 units of pollution, and the State Pollution Board wants to reduce this level to a total of 20 units between both firms. They decide to allocate 10 permits to each firm, where each permit will allow 1 unit of emissions per permit. Assume the following information, where TAC is total abatement cost and MAC is marginal abatement cost: a. b. TAC₁=10+.75A,² TAC₂=5+.5A₂² If each firm keeps its 10 permits, how much will they each spend in total to reduce emissions? Is there a more cost-efficient solution than the one you found in part a? Please explain and find this solution. c. How much will the two firms each spend in total to reduce emissions at the cost-efficient solution? d. How many permits will be sold? Who will sell them? How much will they sell for?
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