By Timothy J. Coelli, Dodla Sai Prasada Rao, Christopher J. O'Donnell, George Edward Battese
Softcover model of the second one version Hardcover. includes a new writer, Dr. Chris O'Donnell, who brings significant services to the undertaking within the quarter of functionality size. a variety of themes are being additional and extra purposes utilizing genuine facts, in addition to workouts on the finish of the chapters. information units, machine codes and software program should be on hand for obtain from the internet to accompany the amount.
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Extra resources for An Introduction to Efficiency and Productivity Analysis
This property follows from the definition of input distance function and not on the properties of the technology. *^ A function y(x) is quasi-concave if and only if ^ x ) is quasi-convex. Similarly/(x) is concave if and only -fl\) is convex. 5 Input Distance Function and Input Requirement Set It is useful to state a couple of results that connect the input and output distance functions. , if q belongs to the production possibility set associated with input vector x, then x belongs to the feasible input set associated with output vector q.
We illustrate the input distance function using an example where two inputs, xj and X2, are used in producing output vector, q. 5. Here the input set, L(q), is the area bounded from below by the isoquant, IsoqL(q). The value of the distance function for the point. A, which defines the production point where firm A uses XJA of input 1 and X2A of input 2, to produce the output vector q, is equal to the ratio p=OA/OB. 6) could be made more rigorous by replacing "max" (which stands for "maximum") with "sup" (which stands for "supremum").
Special cases of this function are obtained by assuming that one or more inputs or outputs are fixed, as they would be in the short run. The resulting profit function is known as a restricted or short-run profit function. We have already considered two restricted profit functions in this chapter: the cost function is (the negative of) a restricted profit function corresponding to the case where all outputs are fixed; and the revenue function is a restricted profit function where all inputs are fixed.
An Introduction to Efficiency and Productivity Analysis by Timothy J. Coelli, Dodla Sai Prasada Rao, Christopher J. O'Donnell, George Edward Battese