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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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EnAincering Approach. The data on which engineering production<br />

functions are based consist either of technological in<strong>for</strong>mation from<br />

physical or chemical theory or from empirical analyses of carefully<br />

controlled experiments. For example, in the estimation of a produc-<br />

tion function <strong>for</strong> electrical transmission, the following relationships<br />

were used: the law of energy consumption, the law of heat dissipation<br />

in electrical circuits, Ohm's law governing electricity flow in a cir-<br />

cuit, and an empirical law concerning the conductive and resistive<br />

properties of materials. 16<br />

There are several advantages in estimating production functions<br />

from engineering data and principles. The range of applicability of<br />

the function is known in advance; it does not depend, in general, on<br />

data limitations. Unlike the in<strong>for</strong>mation used in cross-section and<br />

time-series studies, engineering variables are not typically restricted<br />

to the range of actual observation. Moreover, the results of produc-<br />

tion investigations are not biased by the type of equipment actually<br />

installed in a plant. There<strong>for</strong>e, production functions based on engi-<br />

neering data and relationships more closely con<strong>for</strong>m to the production<br />

function of economic theory. It follows that cost curves derived from '<br />

such production functions also possess the same advantages and also ,<br />

approximate more closely those of economic theory.<br />

Problems remain, however. If one wishes to estimate a firm's<br />

production function, it may be necessary Co first estimate process,<br />

functions <strong>for</strong> the several processes comprising a firm's total activi-<br />

ties. In order to do this, processes must be independent and additive.<br />

It has, however, been suggested that this is not an insurmountable

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