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Q2 Z2,(Q2) Z2(Q2) - Institute for Water Resources - U.S. Army

Q2 Z2,(Q2) Z2(Q2) - Institute for Water Resources - U.S. Army

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service the firm would want to set the marginal cost of each type of<br />

service equal to the marginal revenue derived from the sale of that<br />

service.<br />

The problem of allocating common costs then, may be approached<br />

by segregating costs that are directly associated with particular ship-<br />

ments. It may be possible to allocate other costs, if not to individual<br />

shipments, at least to classes of shipments. One might think of a<br />

hierarchy of costs ranked by the degree of output aggregation. Some<br />

costs are allocable to individual shipments, others to classes of ship-<br />

ments somehow defined, while still others are not easily allocable to<br />

any services provided.<br />

The crucial question is, what is the marginal cost of the ser -<br />

vice? What would be saved if the service was not provided? For example,<br />

the extra wear on a barge from carrying certain commodities is allocable<br />

as the cost of that shipment.<br />

In examining the question of output measures <strong>for</strong> transportation,<br />

Wilson 2 provides an example of such an allocation <strong>for</strong> the case of motor<br />

freight transport. Wilson argues that transport firms provide a wide<br />

variety of services. This heterogeneity of transport output is, how-<br />

ever, frequently collapsed into a single output measure, the ton-mile.<br />

But the ton-mile is itself a heterogenous output measure.<br />

II • • • it<br />

is evident that the costs <strong>for</strong> 100 ton-miles must differ, depending on<br />

the proportion of tons and miles involved." (p. 272)..<br />

Examining ICC cost data <strong>for</strong> various combinations of weight and<br />

distance, Wilson is able to derive total and average'cost schedules<br />

<strong>for</strong> weight and distance. He finds that average cost declines as either<br />

tons or miles increases, holding one variable constant. He also finds<br />

31

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