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Maximum profit ensured for industry sustainability

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  • Mohajan, Haradhan

Abstract

This article tries to calculate a maximum profit from sale items of an industry. This study has considered three inputs, such as capital, labor, and raw materials and other inputs for the mathematical analysis of the production procedures of the industry. In the present competitive global economy policy, to survive strongly, there is no alternate of sustainable economy. For the survival of an industry, profit maximization policy is vital. To acquire maximum profit, the production unit of the industry must be run in an efficient way. In this study an attempt has been taken to maximize the profit of an industry using Lagrange multiplier technique by applying necessary and sufficient conditions.

Suggested Citation

  • Mohajan, Haradhan, 2022. "Maximum profit ensured for industry sustainability," MPRA Paper 114801, University Library of Munich, Germany, revised 15 May 2022.
  • Handle: RePEc:pra:mprapa:114801
    as

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    File URL: https://mpra.ub.uni-muenchen.de/114801/1/MPRA_paper_114801.pdf
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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. 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.
    5. 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.
    6. Mohajan, Haradhan, 2017. "Optimization Models in Mathematical Economics," MPRA Paper 83185, University Library of Munich, Germany, revised 11 Apr 2017.
    7. 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.
    8. 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.
    9. Mohajan, Haradhan, 2022. "Mathematical Analysis of SIR Model for COVID-19 Transmission," MPRA Paper 114390, University Library of Munich, Germany, revised 10 Jul 2022.
    10. 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.
    11. 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.
    12. Mohajan, Devajit & Mohajan, Haradhan, 2022. "Feminism and feminist grounded theory: a comprehensive research analysis," MPRA Paper 114914, University Library of Munich, Germany, revised 15 Jul 2022.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Lagrange multiplier; profit maximization; Hesian matrix;
    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
    • 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

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