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Translog Cost Functions: An Application for Mexican Manufacturing

Author

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  • Héctor Salgado Banda
  • Lorenzo E. Bernal Verdugo

Abstract

We use translog cost functions to estimate own-price and substitution elasticities of input demands, economies of scale and average costs in Mexican manufacturing. Data from the Mexican Annual Industrial Survey is used for 1996, 2000 and 2003. We show that a model that allows for nonhomotheticity and nonunitary elasticities of substitution is appropriate to represent the production structure. Allen-Uzawa elasticities indicate the existence of substitution possibilities amongst inputs. The demand for electricity is essentially unitary elastic. All cross-price elasticities are less than one. Both scale economies and average costs diminish as the size of activity class increases. Economies of scale increased for any level of output. The differences in average costs between small and large activity classes were reduced and some disparities prevail in a number of manufacturing groups.

Suggested Citation

  • Héctor Salgado Banda & Lorenzo E. Bernal Verdugo, 2007. "Translog Cost Functions: An Application for Mexican Manufacturing," Working Papers 2007-08, Banco de México.
  • Handle: RePEc:bdm:wpaper:2007-08
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    File URL: http://www.banxico.org.mx/publicaciones-y-discursos/publicaciones/documentos-de-investigacion/banxico/%7B41245D5E-C969-419F-B0F7-EC2DB03F5E25%7D.pdf
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    References listed on IDEAS

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    1. Robert E. Hall & Charles I. Jones, 1999. "Why do Some Countries Produce So Much More Output Per Worker than Others?," The Quarterly Journal of Economics, Oxford University Press, vol. 114(1), pages 83-116.
    2. Christensen, Laurits R & Jorgenson, Dale W & Lau, Lawrence J, 1973. "Transcendental Logarithmic Production Frontiers," The Review of Economics and Statistics, MIT Press, vol. 55(1), pages 28-45, February.
    3. Barten, A. P., 1969. "Maximum likelihood estimation of a complete system of demand equations," European Economic Review, Elsevier, vol. 1(1), pages 7-73.
    4. Sterner, Thomas, 1989. " Factor Demand and Substitution in a Developing Country: Energy Use in Mexican Manufacturing," Scandinavian Journal of Economics, Wiley Blackwell, vol. 91(4), pages 723-739.
    5. Hanoch, Giora, 1975. "The Elasticity of Scale and the Shape of Average Costs," American Economic Review, American Economic Association, vol. 65(3), pages 492-497, June.
    6. Dale Truett & Lila Truett, 1998. "A cost function analysis of the Mexican nonelectrical machinery industry," Applied Economics, Taylor & Francis Journals, vol. 30(8), pages 1027-1035.
    7. Christensen, Laurits R & Greene, William H, 1976. "Economies of Scale in U.S. Electric Power Generation," Journal of Political Economy, University of Chicago Press, vol. 84(4), pages 655-676, August.
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    Cited by:

    1. Bölük, Gülden & Koç, A. Ali, 2010. "Electricity demand of manufacturing sector in Turkey: A translog cost approach," Energy Economics, Elsevier, vol. 32(3), pages 609-615, May.
    2. repec:eee:eneeco:v:67:y:2017:i:c:p:242-254 is not listed on IDEAS

    More about this item

    Keywords

    Simultaneous equation models; Translog cost function; Manufacturing;

    JEL classification:

    • C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity
    • L60 - Industrial Organization - - Industry Studies: Manufacturing - - - General

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