IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/116022.html
   My bibliography  Save this paper

Sensitivity Analysis between Lagrange Multipliers and Consumer Coupon: Utility Maximization Perspective

Author

Listed:
  • Mohajan, Devajit
  • Mohajan, Haradhan

Abstract

Sensitivity analysis is a vital concept in optimization models. From this analysis an economist can predict on the outcome of an economic model by the use of certain range of input variables. Utility maximization policy is essential for the sustainability of the economic organizations. This study takes an attempt to discuss sensitivity analysis between Lagrange multipliers and consumer coupon, where utility maximization is analyzed with detail mathematical analysis. In the study method of Lagrange multipliers is used to investigate the utility function; subject to two constraints: budget constraint, and coupon constraint. Moreover, two Lagrange multipliers are used here with four commodity variables.

Suggested Citation

  • 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.
    • Handle: RePEc:pra:mprapa:116022
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/116022/1/MPRA_paper_116022.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    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. 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.
    3. 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.
    4. Mohajan, Haradhan, 2022. "Four Waves of Feminism: A Blessing for Global Humanity," MPRA Paper 114328, University Library of Munich, Germany, revised 09 Jul 2022.
    5. repec:ksb:journl:v:4:y:2011:i:1:p:116-128 is not listed on IDEAS
    6. 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.
    7. 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.
    8. repec:sph:rjedep:v:3:y:2017:i:6:p:27-46 is not listed on IDEAS
    9. 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.
    10. Haradhan Kumar MOHAJAN, 2017. "Roles Of Communities Of Practice For The Development Of The Society," Journal of Economic Development, Environment and People, Alliance of Central-Eastern European Universities, vol. 6(3), pages 27-46, September.
    11. 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.
    12. Mohajan, Haradhan, 2017. "Optimization Models in Mathematical Economics," MPRA Paper 83185, University Library of Munich, Germany, revised 11 Apr 2017.
    13. 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.
    14. 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.
    15. 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.
    16. 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.
    17. Ying Hu & Peter Imkeller & Matthias Muller, 2005. "Utility maximization in incomplete markets," Papers math/0508448, arXiv.org.
    18. Mohajan, Haradhan, 2014. "Improvement of Health Sector in Kenya," MPRA Paper 58420, University Library of Munich, Germany, revised 10 Aug 2014.
    19. 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.
    20. 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.
    21. 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.
    22. 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.
    23. repec:ksb:journl:v:2:y:2009:i:1:p:42-66 is not listed on IDEAS
    24. Mohajan, Haradhan, 2011. "Green marketing is a sustainable marketing system in the twenty first century," MPRA Paper 50857, University Library of Munich, Germany, revised 16 Feb 2012.
    25. 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.
    26. Mohajan, Haradhan, 2022. "Maximum profit ensured for industry sustainability," MPRA Paper 114801, University Library of Munich, Germany, revised 15 May 2022.
    27. Islam, Jamal & Mohajan, Haradhan & Datta, Rajib, 2012. "Stress management policy analysis: a preventative approach," MPRA Paper 50698, University Library of Munich, Germany, revised 02 Mar 2012.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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.
    3. Mohajan, Devajit & Mohajan, Haradhan, 2022. "Sensitivity Analysis among Commodities and Prices: A Utility Maximization Perception," MPRA Paper 116232, University Library of Munich, Germany, revised 15 Dec 2022.
    4. 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.
    5. 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.
    6. 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.
    7. Mohajan, Devajit & Mohajan, Haradhan, 2023. "Sensitivity Analysis for Utility Maximization: A Study on Lagrange Multipliers and Commodity Coupons," MPRA Paper 117077, University Library of Munich, Germany, revised 06 Jan 2023.
    8. 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.
    9. Mohajan, Devajit & Mohajan, Haradhan, 2023. "Economic Aspects of Profit Maximization if Cost of Principal Raw Material Increases," MPRA Paper 117453, University Library of Munich, Germany, revised 22 Mar 2023.
    10. 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.
    11. Mohajan, Devajit & Mohajan, Haradhan, 2023. "Economic Situations of Lagrange Multiplier When Costs of Various Inputs Increase for Nonlinear Budget Constraint," MPRA Paper 116879, University Library of Munich, Germany, revised 12 Feb 2023.
    12. 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.
    13. Mohajan, Devajit & Mohajan, Haradhan, 2023. "A Study on Nonlinear Budget Constraint of a Local Industrial Firm of Bangladesh: A Profit Maximization Investigation," MPRA Paper 117324, University Library of Munich, Germany, revised 27 Mar 2023.
    14. Mohajan, Devajit & Mohajan, Haradhan, 2023. "Bulimia Nervosa: A Psychiatric Problem of Disorder," MPRA Paper 117258, University Library of Munich, Germany, revised 17 Mar 2023.
    15. 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.
    16. Mohajan, Devajit & Mohajan, Haradhan, 2023. "Broca Index: A Simple Tool to Measure Ideal Body Weight," MPRA Paper 116852, University Library of Munich, Germany, revised 18 Jan 2023.
    17. Mohajan, Devajit & Mohajan, Haradhan, 2022. "Sensitivity Analysis between Commodity and Budget: Utility Maximization Case," MPRA Paper 116495, University Library of Munich, Germany, revised 20 Dec 2022.
    18. 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.
    19. 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.
    20. 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.

    More about this item

    Keywords

    Coupon; consumers; Lagrange multipliers; sensitivity analysis; utility maximization;
    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
    • 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
    • L7 - Industrial Organization - - Industry Studies: Primary Products and Construction

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:116022. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.