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The Extreme of a Function Subject to Restraint Conditions

Author

Listed:
  • Catalin Angelo Ioan

    (Danubius University of Galati, Romania)

  • Gina Ioan

    (Danubius University of Galati, Romania)

Abstract

Many papers treat the classical problem of the determination function’s extreme points subject to equality type restrictions. The well-known method of Lagrange’s multipliers gives necessary conditions but not sufficient. In this paper, it is shown that in additional hypotesys (like the linearity) the nature of a stationary point remains the same for the restricted function and for the initial one.

Suggested Citation

  • Catalin Angelo Ioan & Gina Ioan, 2011. "The Extreme of a Function Subject to Restraint Conditions," Acta Universitatis Danubius. OEconomica, Danubius University of Galati, issue 3(3), pages 203-207, June.
    • Handle: RePEc:dug:actaec:y:2011:i:3:p:203-207
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    File URL: http://journals.univ-danubius.ro/index.php/oeconomica/article/view/1006/844
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    References listed on IDEAS

    as
    1. Catalin Angelo Ioan, 2010. "A Method of Determination of an Acquisition Program of N Goods in Order to Maximize the Total Utility," Acta Universitatis Danubius. OEconomica, Danubius University of Galati, issue 2(2), pages 106-113, June.
    2. Dixit, Avinash K., 1990. "Optimization in Economic Theory," OUP Catalogue, Oxford University Press, edition 2, number 9780198772101.
    3. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Catalin Angelo Ioan, 2015. "A New Approach to Utility Function," Acta Universitatis Danubius. OEconomica, Danubius University of Galati, issue 11(2), pages 194-223, April.
    2. Catalin Angelo Ioan & Gina Ioan, 2012. "On the General Theory of Production Functions," Acta Universitatis Danubius. OEconomica, Danubius University of Galati, issue 5(5), pages 225-238, October.
    3. Catalin Angelo Ioan & Gina Ioan, 2014. "Generalized Cobb-Douglas Function for Two Inputs and Linear Elasticity," Acta Universitatis Danubius. OEconomica, Danubius University of Galati, issue 10(6), pages 58-66, December.
    4. Catalin Angelo IOAN & Gina IOAN, 2015. "The Complete Theory of Generalized CES Production Function," The Journal of Accounting and Management, Danubius University of Galati, issue 2, pages 15-37, August.
    5. Catalin Angelo Ioan & Gina Ioan, 2012. "The Consumer's Budget from a Geometrically Point of View," The Journal of Accounting and Management, Danubius University of Galati, issue 1, pages 23-30, May.
    6. Catalin Angelo IOAN & Gina IOAN, 2014. "Generalized Cobb-Douglas function for three inputs and linear elasticity," The Journal of Accounting and Management, Danubius University of Galati, issue 2, pages 17-22, August.
    7. Catalin Angelo Ioan, 2013. "On Homogeneous Functions," Acta Universitatis Danubius. OEconomica, Danubius University of Galati, issue 9(2), pages 166-175, April.
    8. Catalin Angelo Ioan & Gina Ioan, 2016. "On Certain Conditions for Generating Production Functions - I," Acta Universitatis Danubius. OEconomica, Danubius University of Galati, issue 12(1), pages 129-150, February.
    9. Catalin Angelo Ioan & Gina Ioan, 2013. "The Reduction of Quadratic Forms to the Normal Form with Applications for Production Functions," Acta Universitatis Danubius. OEconomica, Danubius University of Galati, issue 9(2), pages 120-152, April.

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    Keywords

    Lagrange; multipliers; extreme;
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