Consider the environmental problem created by two chemical plants that release arsenic into a nearby river. The authorities set a standard for the waterway that requires a total abatement level (A) for arsenic of 16 units. Suppose that the two firms, firm 1 and firm 2, face the following marginal abatement cost equations:

MAC1 = 3A1 and MAC2 = A2, where costs are measured in thousands of dollars. 1. If the state uses a uniform standard, show that such a ruling would not be cost-effective. Which firm should be abating more, and which firm should be abating less?

Question

Noelle

Business

16 September, 17:08

Consider the environmental problem created by two chemical plants that release arsenic into a nearby river. The authorities set a standard for the waterway that requires a total abatement level (A) for arsenic of 16 units. Suppose that the two firms, firm 1 and firm 2, face the following marginal abatement cost equations:

MAC1 = 3A1 and MAC2 = A2, where costs are measured in thousands of dollars. 1. If the state uses a uniform standard, show that such a ruling would not be cost-effective. Which firm should be abating more, and which firm should be abating less?

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Answers (1)

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Ali Fox · Answer 1

Solution:

Now each is required to abate = 16/2 = 8 units

So then A1 = A2 = 8

MAC1 = 3*8 = 24

MAC2 = 8

so as MAC1 not equals MAC2, so it is not cost effective solution.

so higher MAC firm should abate less, which is firm 1

& Lower MAC firm should abate more, which is firm 2