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Estimation Of Cost Minimization Of Garments Sector By Cobb-Douglas Production Function: Bangladesh Perspective

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  • MOHAJAN, Haradhan Kumar

    (Department of Mathematics, Premier University, Chittagong, Bangladesh)

Abstract

The Cobb-Douglas production function in the field of economics has a long history. In mathematical economics, it is used to find the functional relation-ship between the economic inputs and potential outputs. This study applies the Cobb-Douglas production function to predict the cost minimization policies of a running garments industry of Bangladesh. In the study, the effects of the variation rate of capital, labour and other inputs with returns to scale in the garments industry of Bangladesh are examined. In multivariable calculus, the method of Lagrange multiplier is a very useful and powerful technique. In this study, interpretation of Lagrange multiplier is given to predict the cost minimi-zation policy using Cobb-Douglas production function. An attempt has been taken here to show the production of garments in minimum by cost using statistical analysis

Suggested Citation

  • 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.
    • Handle: RePEc:ris:sphecs:0399
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    1. 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.
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    13. Mohajan, Haradhan, 2017. "Optimization Models in Mathematical Economics," MPRA Paper 83185, University Library of Munich, Germany, revised 11 Apr 2017.
    14. Sickles,Robin C. & Zelenyuk,Valentin, 2019. "Measurement of Productivity and Efficiency," Cambridge Books, Cambridge University Press, number 9781107036161, September.
    15. Rands Barros, Alexandre, 2016. "Roots of Brazilian Relative Economic Backwardness," Elsevier Monographs, Elsevier, edition 1, number 9780128097564.
    16. Arrow, Kenneth J. & Dasgupta, Partha & Goulder, Lawrence H. & Mumford, Kevin J. & Oleson, Kirsten, 2012. "Sustainability and the measurement of wealth," Environment and Development Economics, Cambridge University Press, vol. 17(3), pages 317-353, June.
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    Cited by:

    1. 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.
    2. Mohajan, Devajit, 2023. "Historical View of Diabetics Mellitus: From Ancient Egyptian Polyuria to Discovery of Insulin," MPRA Paper 118477, University Library of Munich, Germany, revised 12 Mar 2023.
    3. Mohajan, Devajit & Mohajan, Haradhan, 2023. "The Responses of an Organization for the Increase in Wage Rates: Profit Maximization Cases," MPRA Paper 118238, University Library of Munich, Germany, revised 10 Jun 2023.
    4. Mohajan, Devajit & Mohajan, Haradhan, 2023. "Glaserian Grounded Theory and Straussian Grounded Theory: Two Standard Qualitative Research Approaches in Social Science," MPRA Paper 117017, University Library of Munich, Germany, revised 20 Feb 2023.
    5. Mohajan, Devajit & Mohajan, Haradhan, 2023. "Families of Grounded Theory: A Theoretical Structure for Novel Researchers," MPRA Paper 116752, University Library of Munich, Germany, revised 24 Jan 2023.
    6. 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.
    7. Mohajan, Devajit & Mohajan, Haradhan, 2023. "Mathematical Model for Nonlinear Budget Constraint: Economic Activities on Increased Budget," MPRA Paper 117299, University Library of Munich, Germany, revised 17 Mar 2023.
    8. Mohajan, Haradhan, 2022. "Cost minimization analysis of a running firm with economic policy," MPRA Paper 114951, University Library of Munich, Germany, revised 04 May 2022.
    9. Mohajan, Devajit & Mohajan, Haradhan, 2023. "Long-Term Regular Exercise Increases V̇O2max for Cardiorespiratory Fitness," MPRA Paper 116962, University Library of Munich, Germany, revised 04 Feb 2023.
    10. Mohajan, Haradhan, 2022. "Maximum profit ensured for industry sustainability," MPRA Paper 114801, University Library of Munich, Germany, revised 15 May 2022.
    11. Mohajan, Devajit & Mohajan, Haradhan, 2023. "Various Problems Arise in Industrial Economics If Wage Rate Increases: A Study for Nonlinear Budget Constraint," MPRA Paper 117553, University Library of Munich, Germany, revised 04 Apr 2023.
    12. 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.
    13. Mohajan, Devajit, 2023. "Mathematical Analysis of an Industry When Cost of Principal Raw Materials Increase: A Nonlinear Budget Constraint Attempt," MPRA Paper 118933, University Library of Munich, Germany.
    14. Mohajan, Devajit & Mohajan, Haradhan, 2023. "Sensitivity Analysis for Profit Maximization with Respect to Per Unit Cost of Subsidiary Raw Materials," MPRA Paper 116538, University Library of Munich, Germany, revised 10 Jan 2023.
    15. 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.
    16. Mohajan, Devajit & Mohajan, Haradhan, 2022. "Utility maximization analysis of an emerging firm: a bordered Hessian approach," MPRA Paper 115838, University Library of Munich, Germany, revised 25 Sep 2022.
    17. Mohajan, Devajit & Mohajan, Haradhan, 2023. "Sensitivity Analysis of Inputs of an Organization: A Profit Maximization Exploration," MPRA Paper 117121, University Library of Munich, Germany, revised 12 Mar 2023.
    18. Mohajan, Devajit & Mohajan, Haradhan, 2022. "Sensitivity Analysis between Lagrange Multipliers and Consumer Coupon: Utility Maximization Perspective," MPRA Paper 116022, University Library of Munich, Germany, revised 16 Sep 2022.
    19. Mohajan, Devajit & Mohajan, Haradhan, 2023. "An Economical Study When Cost of Irregular Raw Materials of an Industry Increases for Nonlinear Budget Constraint," MPRA Paper 118176, University Library of Munich, Germany, revised 05 May 2023.
    20. Mohajan, Devajit & Mohajan, Haradhan, 2023. "A Study on Body Fat Percentage for Physical Fitness and Prevention of Obesity: A Two Compartment Model," MPRA Paper 117158, University Library of Munich, Germany, revised Feb 2023.
    21. Mohajan, Devajit & Mohajan, Haradhan, 2023. "Sensitivity Analysis between Lagrange Multipliers and Consumer Budget: Utility Maximization Case," MPRA Paper 116907, University Library of Munich, Germany, revised 19 Feb 2023.
    22. 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.

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    More about this item

    Keywords

    production function; Cobb-Douglas model; cost minimization; returns to scale;
    All these keywords.

    JEL classification:

    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General

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