Testing the Multiproduct Hypothesis on Norwegian Aluminium Industry Plants
AbstractAlthough most production activities involve multiple outputs, econometric models of production or cost functions normally involve only one single homogeneous output. The aim of this paper is to test the hypothesis that a multiproduct specification is superior to a model with a single homogenous product. To do this, we use a Multiproduct Symmetric Generalized McFadden (MSGM) cost function. This functional form is globally concave and flexible in the sense that it provides a second order differentiable approximation of any arbitrary cost function which is twice continuously differentiable and linear homogenous in input prices. In an empirical application on a panel data from ten Norwegian primary aluminium plants, we find support for our hypothesis. We present estimates of price elasticities, returns to scale and scope, and product specific demand elasticities. Our results indicate economies of scope, i.e. it is more profitable to produce more than one output, and show sensitivity of factor demand when the product mix changes.
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Bibliographic InfoPaper provided by Research Department of Statistics Norway in its series Discussion Papers with number 350.
Date of creation: May 2003
Date of revision:
Cost function; Multiple output; Global concavity; Returns to scale; Economies of scope; Price elasticity; Output elasticity; Panel data; Primary aluminium industry;
Find related papers by JEL classification:
- C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models
- D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
- L61 - Industrial Organization - - Industry Studies: Manufacturing - - - Metals and Metal Products; Cement; Glass; Ceramics
This paper has been announced in the following NEP Reports:
- NEP-ALL-2003-06-04 (All new papers)
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