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Translog Cost Functions: An Application for Mexican Manufacturing

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  • Salgado Banda Héctor
  • Bernal Verdugo Lorenzo E.

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

  • Salgado Banda Héctor & Bernal Verdugo Lorenzo E., 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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    References listed on IDEAS

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    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. Rentschler, Jun & Kornejew, Martin, 2017. "Energy price variation and competitiveness: Firm level evidence from Indonesia," Energy Economics, Elsevier, vol. 67(C), pages 242-254.
    2. Phillips, Willard & Thorne, Elizabeth & Roopnarine, Camille, 2020. "Economic implications of the ban on single-use plastics in the Caribbean: A case study of Trinidad and Tobago," Studies and Perspectives – ECLAC Subregional Headquarters for The Caribbean 46280, Naciones Unidas Comisión Económica para América Latina y el Caribe (CEPAL).
    3. 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.
    4. Sajid Hussain & Uzma Nisar & Waseem Akram, 2020. "An Analysis of the Cost Structure of Food Industries in Pakistan: An Application of the Translog Cost Function," Lahore Journal of Economics, Department of Economics, The Lahore School of Economics, vol. 25(2), pages 1-22, July-Dec.
    5. Byoung-Kuk Ju & Seung-Hoon Yoo & Chulwoo Baek, 2022. "Economies of Scale in City Gas Sector in Seoul, South Korea: Evidence from an Empirical Investigation," Sustainability, MDPI, vol. 14(9), pages 1-14, April.

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    More about this item

    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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