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Mathematical Model for Nonlinear Budget Constraint: Economic Activities on Increased Budget

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  • Mohajan, Devajit
  • Mohajan, Haradhan

Abstract

In this study economic predictions of the various inputs are analyzed when the budget of the organization increases. Method of Lagrange multiplier is applied here to work with nonlinear budget constraint for the achievement of the profit maximization atmosphere. In the study 6×6 bordered Hessian matrix and 6×6 Jacobian matrix are also operated for the prediction of economic analysis. In mathematical economics, efficient and wise decisions can provide profit maximization setting, which is essential for the sustainability of the industrial organizations.

Suggested Citation

  • 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.
    • Handle: RePEc:pra:mprapa:117299
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    References listed on IDEAS

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    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.
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    4. 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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    7. Mohajan, Haradhan, 2014. "Tuberculosis is a Fatal Disease among Some Developing Countries of the World," MPRA Paper 82851, University Library of Munich, Germany, revised 22 Jan 2015.
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    10. Jamal Nazrul Islam1, & Haradhan Kumar Mohajan & Joly Paul, 2011. "Taxes on cars and Gasoline to Control of Air Pollution: Suggested Models for Bangladesh," Indus Journal of Management & Social Science (IJMSS), Department of Business Administration, vol. 5(2), pages 60-73, June.
    11. Mohajan, Haradhan, 2018. "The Rohingya Muslims in Myanmar are Victim of Genocide!," MPRA Paper 89846, University Library of Munich, Germany, revised 15 Sep 2018.
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    17. 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.
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    20. Mohajan, Haradhan, 2014. "The Most Fatal 2014 Outbreak of Ebolavirus Disease in Western Africa," MPRA Paper 58948, University Library of Munich, Germany, revised 25 Sep 2014.
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    24. Mohajan, Haradhan, 2011. "Greenhouse gas emissions increase global warming," MPRA Paper 50839, University Library of Munich, Germany, revised 18 Apr 2011.
    25. Mohajan, Haradhan, 2011. "Air pollution causes health effects and net national product of a country decreases: a theoretical framework," MPRA Paper 50858, University Library of Munich, Germany, revised 23 May 2012.
    26. Mohajan, Haradhan, 2016. "Global Hyperbolicity in Space-Time Manifold," MPRA Paper 83036, University Library of Munich, Germany, revised 14 Mar 2016.
    27. Mohajan, Haradhan, 2020. "Most Fatal Pandemic COVID-19 Outbreak: An Analysis of Economic Consequences," MPRA Paper 101623, University Library of Munich, Germany, revised 03 Apr 2020.
    28. Mohajan, Haradhan, 2017. "Optimization Models in Mathematical Economics," MPRA Paper 83185, University Library of Munich, Germany, revised 11 Apr 2017.
    29. Mohajan, Haradhan, 2014. "Chinese Sulphur Dioxide Emissions and Local Environment Pollution," MPRA Paper 55953, University Library of Munich, Germany, revised 06 Apr 2014.
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    32. Das, Sabuj & Mohajan, Haradhan, 2014. "Mock Theta Conjectures," MPRA Paper 55821, University Library of Munich, Germany, revised 04 Apr 2014.
    33. 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.
    34. 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.
    35. 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.
    36. Mohajan, Haradhan, 2021. "Third Industrial Revolution Brings Global Development," MPRA Paper 110972, University Library of Munich, Germany, revised 28 Sep 2021.
    37. Haradhan Kumar Mohajan, 2011. "Optimal Environmental Taxes Due to Health Effect," KASBIT Business Journals (KBJ), Khadim Ali Shah Bukhari Institute of Technology (KASBIT), vol. 4, pages 1-19, December.
    38. Mohajan, Haradhan, 2013. "Friedmann, Robertson-Walker (FRW) Models in Cosmology," MPRA Paper 52402, University Library of Munich, Germany, revised 20 Dec 2013.
    39. 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.
    40. 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.
    41. Mohajan, Haradhan, 2015. "Basic Concepts of Differential Geometry and Fibre Bundles," MPRA Paper 83002, University Library of Munich, Germany, revised 18 Feb 2015.
    42. Harald Wiese, 2021. "Cost minimization and profit maximization," Springer Books, in: Advanced Microeconomics, chapter 0, pages 231-260, Springer.
    43. Jamal Nazrul Islam & Haradhan Kumar Mohajan & Pahlaj Moolio & Raymond Peter, 2010. "A Study on Global Human-Immunodeficiency Virus and its Effect in Bangladesh," KASBIT Business Journals (KBJ), Khadim Ali Shah Bukhari Institute of Technology (KASBIT), vol. 3, pages 64-87, December.
    44. Mohajan, Haradhan, 2013. "Poverty and economic development of Kenya," MPRA Paper 51072, University Library of Munich, Germany, revised 06 Jul 2013.
    45. Mohajan, Haradhan, 2015. "Generalization of Euler and Ramanujan’s Partition Function," MPRA Paper 83049, University Library of Munich, Germany, revised 06 Nov 2015.
    46. Mohajan, Haradhan, 2013. "Scope of Raychaudhuri equation in cosmological gravitational focusing and space-time singularities," MPRA Paper 52544, University Library of Munich, Germany, revised 10 Dec 2013.
    47. Mohajan, Haradhan, 2013. "Global food price hike is a burden to the poor," MPRA Paper 51822, University Library of Munich, Germany, revised 05 Nov 2013.
    48. Mohajan, Haradhan, 2013. "Economic Development of Bangladesh," MPRA Paper 50663, University Library of Munich, Germany, revised 23 Sep 2013.
    49. Mohajan, Haradhan, 2014. "Improvement of Health Sector in Kenya," MPRA Paper 58420, University Library of Munich, Germany, revised 10 Aug 2014.
    50. 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.
    51. Mohajan, Haradhan, 2012. "Greenhouse Gas Emissions of the USA," MPRA Paper 50670, University Library of Munich, Germany, revised 21 Nov 2012.
    52. 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.
    53. Mohajan, Haradhan, 2016. "An Analysis of Knowledge Management for the Development of Global Health," MPRA Paper 82959, University Library of Munich, Germany, revised 16 Aug 2016.
    54. Mohajan, Haradhan, 2022. "Mathematical Analysis of SIR Model for COVID-19 Transmission," MPRA Paper 114390, University Library of Munich, Germany, revised 10 Jul 2022.
    55. 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.
    56. Mohajan, Haradhan, 2012. "Certainty and Uncertainty in Cap and Trade System or in Carbon Tax for Green Accounting to Decrease Greenhouse gas Emissions," MPRA Paper 50669, University Library of Munich, Germany, revised 20 Dec 2012.
    57. Mohajan, Haradhan, 2012. "Relation between lease finance and purchase," MPRA Paper 50681, University Library of Munich, Germany, revised 12 Feb 2012.
    58. Mohajan, Haradhan, 2013. "Ethiopia: A socio-economic study," MPRA Paper 52277, University Library of Munich, Germany, revised 10 Sep 2013.
    59. Mohajan, Haradhan, 2017. "A Brief Analysis of de Sitter Universe in Relativistic Cosmology," MPRA Paper 83187, University Library of Munich, Germany, revised 10 Jul 2017.
    60. Hussain, Waheed, 2012. "Corporations, Profit Maximization And The Personal Sphere," Economics and Philosophy, Cambridge University Press, vol. 28(3), pages 311-331, November.
    61. Mohajan, Haradhan, 2020. "COVID-19 in Italy: Remedies to Reduce the Infections and Deaths," MPRA Paper 102062, University Library of Munich, Germany, revised 10 May 2020.
    62. 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.
    63. 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.
    64. MOHAJAN, Haradhan Kumar, 2018. "Analysis Of Food Production And Poverty Reduction Of Bangladesh," Annals of Spiru Haret University, Economic Series, Universitatea Spiru Haret, vol. 9(1), pages 191-205.
    65. MOHAJAN, Haradhan Kumar, 2020. "Covid-19 – The Most Fatal Pandemic Outbreak: An Analysis Of Economic Consequences," Annals of Spiru Haret University, Economic Series, Universitatea Spiru Haret, vol. 20(2), pages 127-145.
    66. Mohajan, Haradhan, 2015. "Sustainable Development Policy of Global Economy," MPRA Paper 82815, University Library of Munich, Germany, revised 30 Mar 2015.
    67. Mohajan, Haradhan, 2017. "Research Methodology," MPRA Paper 83457, University Library of Munich, Germany, revised 15 Dec 2017.
    68. repec:ksb:journl:v:2:y:2009:i:1:p:42-66 is not listed on IDEAS
    69. Mohajan, Devajit & Mohajan, Haradhan, 2023. "Obesity and Its Related Diseases: A New Escalating Alarming in Global Health," MPRA Paper 116797, University Library of Munich, Germany, revised 05 Feb 2023.
    70. Mahbubur RAHMAN & Haradhan Kumar MOHAJAN, 2019. "Rohingya-The Stateless Community Becoming the Lost Generation," Journal of Economic Development, Environment and People, Alliance of Central-Eastern European Universities, vol. 8(2), pages 24-36, June.
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    72. Mohajan, Haradhan, 2017. "Development of Einstein’s Static Cosmological Model of the Universe," MPRA Paper 83001, University Library of Munich, Germany, revised 16 Feb 2017.
    73. Michael Carter, 2001. "Foundations of Mathematical Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262032899, December.
    74. 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.
    75. Mohajan, Haradhan, 2013. "Food, Agriculture and Economic Situation of Bangladesh," MPRA Paper 54240, University Library of Munich, Germany, revised 18 Aug 2013.
    76. Mohajan, Haradhan, 2014. "Gravitational Collapse of a Massive Star and Black Hole Formation," MPRA Paper 83188, University Library of Munich, Germany, revised 10 Aug 2014.
    77. Das, Sabuj & Mohajan, Haradhan, 2014. "Generating Functions for X(n) and Y(n)," MPRA Paper 55685, University Library of Munich, Germany, revised 30 Jan 2014.
    78. Mohajan, Haradhan, 2016. "Singularities in Global Hyperbolic Space-time Manifold," MPRA Paper 82953, University Library of Munich, Germany, revised 16 Mar 2016.
    79. Islam, Jamal & Mohajan, Haradhan & Moolio, Pahlaj, 2011. "Borda voting is non-manipulable but cloning manipulation is possible," MPRA Paper 50848, University Library of Munich, Germany, revised 10 Jan 2012.
    80. 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.
    81. 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.
    82. Mohajan, Haradhan, 2021. "Global COVID-19 Pandemic: Prevention and Protection Techniques," MPRA Paper 106923, University Library of Munich, Germany, revised 19 Jan 2021.
    83. Mohajan, Haradhan, 2018. "Medical Errors Must be Reduced for the Welfare of the Global Health Sector," MPRA Paper 89644, University Library of Munich, Germany, revised 03 Sep 2018.
    84. Mohajan, Haradhan, 2022. "Maximum profit ensured for industry sustainability," MPRA Paper 114801, University Library of Munich, Germany, revised 15 May 2022.
    85. Mohajan, Haradhan, 2019. "The First Industrial Revolution: Creation of a New Global Human Era," MPRA Paper 96644, University Library of Munich, Germany, revised 17 Jul 2019.
    86. 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.
    87. 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.
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    More about this item

    Keywords

    Lagrange multiplier; nonlinear budget constraint; increased budget;
    All these keywords.

    JEL classification:

    • C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables
    • C31 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models; Quantile Regressions; Social Interaction Models
    • C38 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Classification Methdos; Cluster Analysis; Principal Components; Factor Analysis
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods
    • C58 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Financial Econometrics
    • 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
    • C68 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computable General Equilibrium Models
    • D6 - Microeconomics - - Welfare Economics
    • E2 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment
    • J3 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs

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