Skip to main content
Log in

Capacity utilization under dynamic profit maximization

  • Published:
Empirical Economics Aims and scope Submit manuscript

Abstract

Empirically implementable measures of optimal capacity utilization are developed from the dynamic profit maximization perspective. The primal measure is based on behavior of the firm's supply along an optimal path to the steady state. The dual measure is based on the behavior of the dynamic value function in the stock of the quasi-fixed input. Rates of optimal capacity utilization are estimated for the U.S. food processing and distribution sector over the period 1948–1991.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Adams M, Eguchi H, Mayer-zu-Scholochern F (1969) An economic analysis of the international trade. Paris, Organization for Economic Cooperation and Development

    Google Scholar 

  • Berndt E, Fuss M (April 1989) Economic capacity utilization and productivity measurement for multiproduct firms with multiple quasi-fixed inputs. National Bureau of Economic Research Working Paper 2932

  • Berndt E, Hesse D (1985) Measuring and assessing capacity utilization in the manufacturing sectors of nine OECD countries. European Economic Review 30:961–989

    Google Scholar 

  • Berndt E, Morrison C (1981) Capacity utilization: Underlying economic theory and an alternative approach. American Economic Review 71:48–52

    Google Scholar 

  • Blackorby C, Schworm W (1982) Aggregate investment and consistent intertemporal technologies. Review of Economic Studies XLIX:595–614

    Google Scholar 

  • Boyce W, DiPrima C (1992) Elementary differential equations and boundary value problems. John Wiley & Sons

  • Brechling, F (1975) Investment and employment decisions. University of Manchester Press

  • Caputo M (1990a) A qualitative characterization of the competitive nonrenewable resource extracting firm. Journal of Environmental Economics and Management 18:206–226

    Google Scholar 

  • Caputo M (1990b) How to do comparative dynamics on the back of an envelope in optimal control theory. Journal of Economic Dynamics and Control 14:655–683

    Google Scholar 

  • Chambers R, Lopez R (1984) A general dynamic supply response model. Northeast Journal of Agricultural and Resource Economics 13:142–154

    Google Scholar 

  • Chenery H (1952) Overcapacity and accelerator principle. Econometrica 20:1–27

    Google Scholar 

  • Conrad C, Unger R (1989) Productivity gaps and capacity utilization in the manufacturing sectors of five OECD countries, 1963–1982. Journal of Productivity Analysis 1:101–122

    Google Scholar 

  • Conrad K, Veall MR (1991) A test for strategic excess capacity. Empirical Economics 16:433–445

    Google Scholar 

  • Epstein L (1981) Duality theory and functional forms for dynamic factor demands. Review of Economic Studies 48:81–95

    Google Scholar 

  • Epstein L (1978) The lechatelier principle in optimal control problems. Journal of Economic Theory 19:103–122

    Google Scholar 

  • Epstein L, Denny M (1983) The multivariate flexible accelerator model: Its empirical restrictions and an application to U.S. manufacturing. Econometrica 51:647–670

    Google Scholar 

  • Hauver J, Yee J, Ball VE (1991) Capacity utilization and measurement of agricultural productivity. Washington, DC, United States Department of Agriculture, Economic Research Service, Technical Bulletin 1978

    Google Scholar 

  • Howard W, Shumway CR (1988) Dynamic adjustment in the U.S. dairy industry. American Journal of Agricultural Economics 70:837–747

    Google Scholar 

  • Hulten C (1986) Productivity change, capacity utilization and sources of efficiency growth. Journal of Econometrics 33:31–50

    Google Scholar 

  • Hulten C, Wyckoff F (1981) The measurement of economic depreciation. In: Depreciation, Inflation, and the Taxation of Income from Capital. Urban Institute Press, Washington, DC

    Google Scholar 

  • Jorgenson D, Yun V (1991) Tax reform and the cost of capital. Clarendon Press, Oxford

    Google Scholar 

  • Kamien MI, Schwartz NL (1991) Dynamic optimization: The calculus of variations and optimal control in economics and management. Elsevier, New York

    Google Scholar 

  • Lopez R (1985) Supply response and investment in the Canadian food processing industry. American Journal of Agricultural Economics 67:40–48

    Google Scholar 

  • Luh Y-H, Stefanou SE (1991) Productivity growth in U.S. agriculture under dynamic adjustment. American Journal of Agricultural Economics 73:1116–1125

    Google Scholar 

  • Luh Y-H, Stefanou SE (forthcoming) Estimating dynamic dual models under nonstatic expectations. American Journal of Agricultural Economics

  • Meese R (1980) Dynamic factor demand schedules for labour and capital under rational expectations. Journal of Econometrics 14:141–158

    Google Scholar 

  • Morrison C (1985a) Primal and dual capacity utilization: An application to productivity measurement in the U.S. automobile industry. Journal of Business and Economic Statistics 3:312–324

    Google Scholar 

  • Morrison C (1985b) On the economic interpretation and the measurement of optimal capacity utilization with anticipatory expectations. Review of Economic Studies 52:295–310

    Google Scholar 

  • Morrison C (1986) Productivity measurement with nonstatic expectations and varying capacity utilization. Journal of Econometrics 33:51–74

    Google Scholar 

  • Nagatani K (1982) Macroeconomic dynamics. Cambridge University Press

  • Oniki H (1973) Comparative dynamics in the optimal control theory. Review of Economic Studies 29:276–279

    Google Scholar 

  • Raddock R (1990) Recent developments in industrial capacity utilization. Federal Reserve Bulletin 411–435

  • Samuelson PA (1953) Prices of factors and goods in general equilibrium. Review of Economic Studies 21:1–20

    Google Scholar 

  • Seierstad A, Sydsaeter (1977) Sufficient conditions in optimal control theory. International Economic Review 18:367–391

    Google Scholar 

  • Tatom J (1982) Potential output and recent productivity decline. Federal Reserve Bank of St. Louis Review 64:3–16

    Google Scholar 

  • Vasavada U, Chambers RG (1986) Investment in the U.S. agriculture. American Journal of Agricultural Economics 68:950–960

    Google Scholar 

  • Wales T (1977) On the flexibility of flexible functional forms: An empirical approach. Journal of Econometrics 5:183–197

    Google Scholar 

  • Wales T (1993) Fixed reproducible tangible wealth in the U.S. 1925–1989. United States Department of Commerce, Economics and Statistics Administration, Bureau of Economic Analysis, Washington, DC

    Google Scholar 

  • Wales T (1991) Food marketing review. United States Department of Agriculture, Economic Research Service, Washington, DC

    Google Scholar 

  • Wales T (1991) Food cost review. United States Department of Agriculture, Economic Research Service, Economic Report no. 662, Washington, DC

  • Wales T (1975) Marketing and transportation situation. United States Department of Agriculture, Economic Research Service, MTS 1-198, Washington, DC

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

The helpful comments of Elvira Silva are gratefully acknowledged.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fousekis, P., Stefanou, S.E. Capacity utilization under dynamic profit maximization. Empirical Economics 21, 335–359 (1996). https://doi.org/10.1007/BF01179862

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01179862

JEL Classification System-Numbers

Navigation