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Utility Maximization Analysis of an Organization: A Mathematical Economic Procedure

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  • Mohajan, Devajit
  • Mohajan, Haradhan

Abstract

In the society utility is the vital concept, especially in mathematical economics. It is considered as the tendency of an object or action that increases or decreases overall happiness. In social sciences, the property of a commodity that enables to satisfy human wants is called utility. This paper has tried to operate utility maximization policy of an organization by considering two constraints: budget constraint and coupon constraint. To develop the maximization policy of utility function, the techniques of multivariate calculus are used. In this study four commodity variables are used to operate the mathematical analysis efficiently. In this article Lagrange multiplier technique is applied to achieve optimal result throughout the study.

Suggested Citation

  • Mohajan, Devajit & Mohajan, Haradhan, 2022. "Utility Maximization Analysis of an Organization: A Mathematical Economic Procedure," MPRA Paper 115791, University Library of Munich, Germany, revised 15 Oct 2022.
    • Handle: RePEc:pra:mprapa:115791
    as

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    References listed on IDEAS

    as
    1. Jamal Nazrul Islam & Haradhan Kumar Mohajan & Pahlaj Moolio, 2010. "Utility Maximization Subject to Multiple Constraints," Indus Journal of Management & Social Science (IJMSS), Department of Business Administration, vol. 4(1), pages 15-29, December.
    2. ROY, Lia & MOLLA, Rashed & MOHAJAN, Haradhan Kumar, 2021. "Cost Minimization Is Essential For The Sustainable Development Of An Industry: A Mathematical Economic Model Approach," Annals of Spiru Haret University, Economic Series, Universitatea Spiru Haret, vol. 21(1), pages 37-71.
    3. Mohajan, Haradhan, 2022. "Four Waves of Feminism: A Blessing for Global Humanity," MPRA Paper 114328, University Library of Munich, Germany, revised 09 Jul 2022.
    4. repec:ksb:journl:v:4:y:2011:i:1:p:116-128 is not listed on IDEAS
    5. Mohajan, Devajit & Mohajan, Haradhan, 2022. "Importance of Total Coupon in Utility Maximization: A Sensitivity Analysis," MPRA Paper 115553, University Library of Munich, Germany, revised 17 Sep 2022.
    6. George J. Stigler, 1950. "The Development of Utility Theory. I," Journal of Political Economy, University of Chicago Press, vol. 58(4), pages 307-307.
    7. Jamal Nazrul Islam & Haradhan Kumar Mohajan & Pahlaj Moolio, 2009. "Political Economy and Social Welfare with Voting Procedure," KASBIT Business Journals (KBJ), Khadim Ali Shah Bukhari Institute of Technology (KASBIT), vol. 2, pages 42-66, December.
    8. Jamal NazrulIslam & Haradhan Kumar Mohajan & Pahlaj Moolio, 2011. "Output Maximization Subject to a Nonlinear Constraint," KASBIT Business Journals (KBJ), Khadim Ali Shah Bukhari Institute of Technology (KASBIT), vol. 4, pages 116-128, December.
    9. MOHAJAN, Haradhan Kumar, 2021. "Estimation Of Cost Minimization Of Garments Sector By Cobb-Douglas Production Function: Bangladesh Perspective," Annals of Spiru Haret University, Economic Series, Universitatea Spiru Haret, vol. 21(2), pages 247-267.
    10. B. Curtis Eaton & Richard G. Lipsey, 1975. "The Principle of Minimum Differentiation Reconsidered: Some New Developments in the Theory of Spatial Competition," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 42(1), pages 27-49.
    11. Read, Daniel, 2004. "Utility theory from Jeremy Bentham to Daniel Kahneman," LSE Research Online Documents on Economics 22750, London School of Economics and Political Science, LSE Library.
    12. Ivan Moscati, 2013. "Were Jevons, Menger, and Walras Really Cardinalists? On the Notion of Measurement in Utility Theory, Psychology, Mathematics, and Other Disciplines, 1870-1910," History of Political Economy, Duke University Press, vol. 45(3), pages 373-414, Fall.
    13. Mohajan, Haradhan, 2021. "Product Maximization Techniques of a Factory of Bangladesh: A Sustainable Procedure," MPRA Paper 108094, University Library of Munich, Germany, revised 15 May 2021.
    14. Haradhan Kumar MOHAJAN, 2018. "Qualitative research methodology in social sciences and related subjects," Journal of Economic Development, Environment and People, Alliance of Central-Eastern European Universities, vol. 7(1), pages 23-48, March.
    15. Mohajan, Devagit & Mohajan, Haradhan, 2022. "Profit Maximization Strategy in an Industry: A Sustainable Procedure," MPRA Paper 114675, University Library of Munich, Germany, revised 21 Jun 2022.
    16. Mohajan, Haradhan, 2017. "Optimization Models in Mathematical Economics," MPRA Paper 83185, University Library of Munich, Germany, revised 11 Apr 2017.
    17. MOHAJAN, Haradhan Kumar, 2017. "Two Criteria For Good Measurements In Research: Validity And Reliability," Annals of Spiru Haret University, Economic Series, Universitatea Spiru Haret, vol. 17(4), pages 59-82.
    18. Pahlaj Moolio & Jamal Nazrul Islam & Haradhan Kumar Mohajan, 2009. "Output Maximization of an Agency," Indus Journal of Management & Social Science (IJMSS), Department of Business Administration, vol. 3(1), pages 39-51, June.
    19. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    20. Mohajan, Haradhan, 2021. "Utility Maximization of Bangladeshi Consumers within Their Budget: A Mathematical Procedure," MPRA Paper 109993, University Library of Munich, Germany, revised 20 Jul 2021.
    21. Mohajan, Haradhan, 2020. "Quantitative Research: A Successful Investigation in Natural and Social Sciences," MPRA Paper 105149, University Library of Munich, Germany, revised 15 Nov 2020.
    22. Chung‐Cheng Lin & Shi‐Shu Peng, 2019. "The role of diminishing marginal utility in the ordinal and cardinal utility theories," Australian Economic Papers, Wiley Blackwell, vol. 58(3), pages 233-246, September.
    23. Mohajan, Devajit & Mohajan, Haradhan, 2022. "Sensitivity Analysis among Commodities and Coupons during Utility Maximization," MPRA Paper 115554, University Library of Munich, Germany, revised 04 Oct 2022.
    24. repec:ksb:journl:v:2:y:2009:i:1:p:42-66 is not listed on IDEAS
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Commodities; Lagrange multipliers; utility maximization; budget and coupon constraints;
    All these keywords.

    JEL classification:

    • C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C67 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Input-Output Models
    • I31 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - General Welfare, Well-Being
    • O1 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development

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