Suppose the marginal social cost (MSC) of abatement for particulate matter (PM) is MSC = 8 + 0.5A, where A is percent of PM removed, and MSC is in millions of dollars. Find the change in total social costs (TSC) of abatement if the abatement level increases from 12 percent to 20 percent as a result of new policy.

What will be an ideal response?


To find the change in TSC, calculate the area under the MSC curve between the two values for A, i.e., between 12 percent and 20 percent, as shown in the graph below



Now, find the area of the trapezoid as ½ h (b1 + b2) = ½ 8 (18 + 14) = $128 million. Alternatively, find the sum of the area of the top right triangle (½ * 8 * 4) and the area of the lower rectangle (8 * 14), which equals $128 million.

Economics

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