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Titlebook: Cost and Production Functions; Ronald W. Shephard Book 1981 Ronald W. Shephard 1981 Cost.Functions.Kosten.Produktionsfunktion.production

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书目名称Cost and Production Functions
编辑Ronald W. Shephard
视频video
丛书名称Lecture Notes in Economics and Mathematical Systems
图书封面Titlebook: Cost and Production Functions;  Ronald W. Shephard Book 1981 Ronald W. Shephard 1981 Cost.Functions.Kosten.Produktionsfunktion.production
描述This study is the result of an interest in the economic theory of production intermittently pursued during the past three years. Over this period I have received substantial support from the Office of Naval Research, first from a personal service consulting contract directly with the Mathematics Division of the Office of Naval Research and secondly from Project N6 onr-27009 at Princeton Univer­ sity under the direction of Professor Oskar Morgenstern. Grateful acknowledgement is made to the ·Office of Naval Research for this support and to Professor Morgenstern, in particular, for his interest in the puolication of this research. The responsibility for errors and omissions, how­ ever, rests entirely upon the author. Professor G. C. Evans has given in terms of a simple total cost function, depending solely upon output rate, a treatment of certain aspects of the economic theory of production which has inherent generality and convenience of formulation. The classical approach of expressing the technology of production by means of a production function is potentially less restrictive than the use of a simple total cost function, but it has not been applied in a more general form other t
出版日期Book 1981
关键词Cost; Functions; Kosten; Produktionsfunktion; production
版次1
doihttps://doi.org/10.1007/978-3-642-51578-1
isbn_softcover978-3-540-11158-0
isbn_ebook978-3-642-51578-1Series ISSN 0075-8442 Series E-ISSN 2196-9957
issn_series 0075-8442
copyrightRonald W. Shephard 1981
The information of publication is updating

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Constraints on the Factors of Productionon functions . and ., and cost per unit time given by (5) was defined without fixed charges per unit time independent of the prices and quantities. These simplifications were made for initial convenience and they may be substantially relaxed without essentially changing the previous analysis.
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Material- und Fertigungswirtschaft,Consider a single production process yielding one homogeneous output and let U denote the output per unit time at some time t. We suppose that the process involves the use of n factors of production, and write x.,x.,...,x. as amounts per unit time of these factors associated with the output U.
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The Process Production FunctionConsider a single production process yielding one homogeneous output and let U denote the output per unit time at some time t. We suppose that the process involves the use of n factors of production, and write x.,x.,...,x. as amounts per unit time of these factors associated with the output U.
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The Producer’s Minimum Cost FunctionFor given rates of output U and prices p. of the factors of production, the rates . at which the factors are used satisfy equation (2) and minimize (5), if the process is organized instantaneously for minimum cost. Necessary conditions for this minimum property are .where the Lagrangian multiplier λ may depend in general upon U, p.,..., p..
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