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

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1<br />

linear <strong>for</strong>m of- the functions have been specified. The arguments <strong>for</strong><br />

this specification have already been given in Chapter IV.<br />

- %<br />

C. The Results<br />

Results <strong>for</strong> all cost categories are presented in Tables 21-23.<br />

Four regressions are presented <strong>for</strong> each category of cost, one <strong>for</strong> each<br />

alternative measure of firm size, to allow comparison. With the ex-<br />

ception of indirect cost there is little to distinguish between the<br />

four regressions <strong>for</strong> each cost category. Since the results using the<br />

number of barges as the firm size variable appear to be generally<br />

better, these results have been used in the discussion below.<br />

Indirect Costs<br />

Indirect costs represent expenses incurred by the firm which<br />

cannot be allocated to particular levels of output. These are the<br />

costs associated with general office and management expense, record<br />

. .<br />

keeping, sale of services, and the scheduling, and cbordination of<br />

shipments and equipment. .<br />

. Table 21 presents the indirect cost results <strong>for</strong> each of the<br />

firm size measures. In comparing the results across firm size mea-<br />

sures, an apparent contradiction is evident in the firm size coeffi-<br />

cients. The two towboat measures show a strong positive relationship<br />

with average indirect cost, whereas the two barge measures show a<br />

strong negative relationship with average indirect cost.<br />

It would be expected, ceterus paribus, that if the "correct"<br />

firm size measure was used, average indirect costs wbuld fall as<br />

firm size increased. For example, we would expect to find economies<br />

129

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