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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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wide range of output would have to be altered. This would probably<br />

result in a U-shaped long-run average cost curve, which if flat at .<br />

all would be flat over a narrower range of output possibilities. Of<br />

course, the level of the curve would be higher than that calculated<br />

by Howe, even if the same input costs were used, simply because of .<br />

the inclusion of delay time. .<br />

Though not a component of the tow process function, an analysis<br />

of waterway capacity and tolls is presented in Chapter IV. This is<br />

an outgrowth of the locking model and may be viewed as an applica-<br />

tion of welfare economics to tow and waterway operations. The anal-<br />

,<br />

ysis provides a method of measuring the capacity of a waterway in ,<br />

terms of the utilization of its locks. A method of calculating the<br />

optimal toll to be charged <strong>for</strong> use of the waterway is also developed.<br />

The toll is optimal in the sense that if imposed it would equate<br />

private and social coats. Methods are, of course, provided <strong>for</strong> cal-<br />

culating these costs. A recapitulation of resurts ends the chapter.<br />

Chapter V is an application of the method of Chapter III to the<br />

case of rail freight trains. For the purpose of the rail analysis,<br />

there is no previously existing process function as there was <strong>for</strong><br />

the case of barge tows. However, there are, much more widely accepted<br />

and well known engineering relationships available <strong>for</strong> rail opera-<br />

tions than there are <strong>for</strong> barge operations. The chapter proceeds to<br />

.exploit these relationships in developing the rail linehaul process<br />

\<br />

function. .<br />

The two most important functions in determining, the speed of a<br />

rail train are, as discussed in Chapter III, the tractive-ef<strong>for</strong>t.<br />

188

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