Mohajan, Devajit and Mohajan, Haradhan
(2023):
*Sensitivity Analysis for Profit Maximization with Respect to Per Unit Cost of Subsidiary Raw Materials.*
Published in: Frontiers in Management Scienc
, Vol. 2, No. 2
(28 February 2023): pp. 13-28.

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## Abstract

In this article the sensitivity analysis of an economic model is provided with detail mathematical analysis. To achieve maximum profit through sustainable way in the competitive global economy; an organization must scrutinize sensitivity analysis efficiently. In the study Cobb-Douglas production function is operated. Method of Lagrange multiplier is applied here when sensitivity analysis is investigated to obtain accurate results. The paper also uses the bordered Hessian and Jacobian to propel mathematical methods appropriately.

Item Type: | MPRA Paper |
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Original Title: | Sensitivity Analysis for Profit Maximization with Respect to Per Unit Cost of Subsidiary Raw Materials |

English Title: | Sensitivity Analysis for Profit Maximization with Respect to Per Unit Cost of Subsidiary Raw Materials |

Language: | English |

Keywords: | Lagrange multiplier, economic inputs, profit maximization, sensitivity analysis |

Subjects: | C - Mathematical and Quantitative Methods > C3 - Multiple or Simultaneous Equation Models ; Multiple Variables > C32 - Time-Series Models ; Dynamic Quantile Regressions ; Dynamic Treatment Effect Models ; Diffusion Processes ; State Space Models C - Mathematical and Quantitative Methods > C5 - Econometric Modeling > C51 - Model Construction and Estimation C - Mathematical and Quantitative Methods > C5 - Econometric Modeling > C52 - Model Evaluation, Validation, and Selection C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C61 - Optimization Techniques ; Programming Models ; Dynamic Analysis C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C67 - Input-Output Models C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C68 - Computable General Equilibrium Models I - Health, Education, and Welfare > I2 - Education and Research Institutions > I25 - Education and Economic Development |

Item ID: | 116538 |

Depositing User: | Haradhan Kumar Mohajan |

Date Deposited: | 28 Feb 2023 14:25 |

Last Modified: | 28 Feb 2023 14:25 |

References: | Baxley, J. V., & Moorhouse, J. C. (1984). Lagrange Multiplier Problems in Economics. The American Mathematical Monthly, 91(7), 404-412. Carter, M. (2001). Foundations of Mathematical Economics. MIT Press, Cambridge, London. Cobb, C. W., & Douglass, P. H. (1928). A Theory of Production. American Economics Review, 18(1), 139-165. Dixit, A. K. (1990). Optimization in Economic Theory (2nd Ed.). Oxford University Press, Oxford. Eaton, B., & Lipsey, R. (1975). The Principle of Minimum Differentiation Reconsidered: Some New Developments in the Theory of Spatial Competition. Review of Economic Studies, 42(1), 27-49. Ferdous, J., & Mohajan, H. K. (2022). Maximum Profit Ensured for Industry Sustainability. Annals of Spiru Haret University. Economic Series, 22(3), 317-337. Islam, J. N., Mohajan, H. K., & Moolio, P. (2009a). Preference of Social Choice in Mathematical Economics. Indus Journal of Management & Social Sciences, 3(1), 17-38. Islam, J. N., Mohajan, H. K., & Moolio, P. (2009b). Political Economy and Social Welfare with Voting Procedure. KASBIT Business Journal, 2(1), 42-66. Islam, J. N., Mohajan, H. K., & Moolio, P. (2010). Utility Maximization Subject to Multiple Constraints. Indus Journal of Management & Social Sciences, 4(1), 15-29. Islam, J. N., Mohajan, H. K., & Moolio, P. (2011). Output Maximization Subject to a Nonlinear Constraint. KASBIT Business Journal, 4(1), 116-128. Islam, J. N., Mohajan, H. K., & Datta, R. (2012a). Stress Management Policy Analysis: A Preventative Approach. International Journal of Economics and Research, 3(6), 1-17. Islam, J. N., Mohajan, H. K., & Datta, R. (2012b). Aspects of Microfinance System of Grameen Bank of Bangladesh. International Journal of Economics and Research, 3(4), 76-96. Kothari, C. R. (2008). Research Methodology: Methods and Techniques (2nd Ed.). New Delhi: New Age International (P) Ltd. Levitt, S. D. (2006). An Economist Sells Bagels: A Case Study in Profit Maximization. NBER Working Paper Series, Working Paper 12152, Cambridge, MA. Mohajan, D., & Mohajan, H. K. (2022a). Mathematical Analysis of SEIR Model to Prevent COVID-19 Pandemic. Journal of Economic Development, Environment and People, 11(4), 5-30. Mohajan, D., & Mohajan, H. K. (2022b). Utility Maximization Analysis of an Emerging Firm: A Bordered Hessian Approach. Annals of Spiru Haret University. Economic Series, 22(4), 292-308. Mohajan, D., & Mohajan, H. K. (2022c). Sensitivity Analysis among Commodities and Coupons during Utility Maximization. Frontiers in Management Science, 1(3), 13-28. Mohajan, D., & Mohajan, H. K. (2022d). Importance of Total Coupon in Utility Maximization: A Sensitivity Analysis. Law and Economy, 1(5), 65-67. Mohajan, D., & Mohajan, H. K. (2022e). Development of Grounded Theory in Social Sciences: A Qualitative Approach. Studies in Social Science & Humanities, 1(5), 13-24. Mohajan, D., & Mohajan, H. K. (2022f). Exploration of Coding in Qualitative Data Analysis: Grounded Theory Perspective. Research and Advances in Education, 1(6), 50-60. Mohajan, D., & Mohajan, H. K. (2022g). Memo Writing Procedures in Grounded Theory Research Methodology. Studies in Social Science & Humanities, 1(4), 10-18. Mohajan, D., & Mohajan, H. K. (2022h). Constructivist Grounded Theory: A New Research Approach in Social Science. Research and Advances in Education, 1(4), 8-16. Mohajan, D., & Mohajan, H. K. (2022i). Feminism and Feminist Grounded Theory: A Comprehensive Research Analysis. Journal of Economic Development, Environment and People, 11(3), 49-61. Mohajan, D., & Mohajan, H. K. (2022j). Profit Maximization Strategy in an Industry: A Sustainable Procedure. Law and Economy, 1(3), 17–43. Mohajan, D., & Mohajan, H. K. (2023a). Sensitivity Analysis among Commodities and Prices: Utility Maximization Perceptions. Law and Economy, 2(2), 1-16. Mohajan, D., & Mohajan, H. K. (2023b). Straussian Grounded Theory: An Evolved Variant in Qualitative Research. Studies in Social Science & Humanities, 2(2), 33-40. Mohajan, D., & Mohajan, H. K. (2023c). Sensitivity Analysis between Lagrange Multipliers and Consumer Coupon: Utility Maximization Perspective. Frontiers in Management Science, 2(1), 14-25. Mohajan, D., & Mohajan, H. K. (2023d). Utility Maximization Analysis of an Organization: A Mathematical Economic Procedure. Law and Economy, 2(1), 1-15. Mohajan, D., & Mohajan, H. K. (2023e). Classic Grounded Theory: A Qualitative Research on Human Behavior. Studies in Social Science & Humanities, 2(1), 1-7. Mohajan, D., & Mohajan, H. K. (2023f). Sensitivity Analysis between Commodity and Budget: Utility Maximization Case. Law and Economy, 2(3), 10-21. Mohajan, H. K. (2011a). Green Net National Product for the Sustainability and Social Welfare. International Journal of Development Research and Quantitative Technologies, 1(2), 43-55. Mohajan, H. K. (2011b). Greenhouse Gas Emissions Increase Global Warming. International Journal of Economic and Political Integration, 1(2), 21-34. Mohajan, H. K. (2012a). Green Marketing is a Sustainable Marketing System in the Twenty First Century. International Journal of Management and Transformation, 6(2), 23-39. Mohajan, H. K. (2012b). Aspects of Green Marketing: A Prospect for Bangladesh. International Journal of Economics and Research, 3(3), 1-11. Mohajan, H. K. (2012c). Green Marketing is a Sustainable Marketing System in the Twenty First Century. International Journal of Management and Transformation, 6(2), 23-39. Mohajan, H. K. (2012d). Importance of Green Marketing at Present and Future. Lambert Academic Publishing, Germany. Mohajan, H. K. (2013a). Economic Development of Bangladesh. Journal of Business Management and Administration, 1(4), 41-48. Mohajan, H. K. (2013b). Ethiopia: A Socio-economic Study. Journal of Business Management and Administration, 1(5), 59-74. Mohajan, H. K. (2013c). Friedmann, Robertson-Walker (FRW) Models in Cosmology. Journal of Environmental Treatment Techniques, 1(3), 158-164. Mohajan, H. K. (2013d). Global Greenhouse Gas Emissions and Climate Change. Lambert Academic Publishing, Germany. Mohajan, H. K. (2013e). Poverty and Economic Development of Kenya. International Journal of Information Technology and Business Management, 18(1), 72-82. Mohajan, H. K. (2014a). Chinese Sulphur Dioxide Emissions and Local Environment Pollution. International Journal of Scientific Research in Knowledge, 2(6), 265-276. Mohajan, H. K. (2014b). Greenhouse Gas Emissions of China. Journal of Environmental Treatment Techniques, 1(4), 190-202. Mohajan, H. K. (2014c). Improvement of Health Sector in Kenya. American Journal of Public Health Research, 2(4), 159–169. Mohajan, H. K. (2015a). Sustainable Development Policy of Global Economy. American Journal of Environmental Protection, 3(1), 12-29. Mohajan, H. K. (2015b). Present and Future of Nestlé Bangladesh Limited. American Journal of Food and Nutrition, 3(2), 34-43. Mohajan, H. K. (2015c). Basic Concepts of Differential Geometry and Fibre Bundles. ABC Journal of Advanced Research, 4(1), 57-73. Mohajan, H. K. (2016). An Analysis of Knowledge Management for the Development of Global Health. American Journal of Social Sciences, 4(4), 38-57. Mohajan, H. K. (2017a). Optimization Models in Mathematical Economics. Journal of Scientific Achievements, 2(5), 30-42. Mohajan, H. K. (2017b). Two Criteria for Good Measurements in Research: Validity and Reliability. Annals of Spiru Haret University. Economic Series, 17(3), 58-82. Mohajan, H. K. (2017c). Roles of Communities of Practice for the Development of the Society. Journal of Economic Development, Environment and People, 6(3), 27-46. Mohajan, H. K. (2018a). Aspects of Mathematical Economics, Social Choice and Game Theory. PhD Dissertation. University of Chittagong, Chittagong, Bangladesh. Mohajan, H. K. (2018b). Qualitative Research Methodology in Social Sciences and Related Subjects. Journal of Economic Development, Environment and People, 7(1), 23-48. Mohajan, H. K. (2018c). The Rohingya Muslims in Myanmar are Victim of Genocide! ABC Journal of Advanced Research, 7(1), 59-72. Mohajan, H. K. (2020a). Quantitative Research: A Successful Investigation in Natural and Social Sciences. Journal of Economic Development, Environment and People, 9(4), 52-79. Mohajan, H. K. (2020b). COVID-19–The Most Fatal Pandemic Outbreak: An Analysis of Economic Consequences. Annals of Spiru Haret University Economic Series, 20(2), 127-146. Mohajan, H. K. (2021a). Utility Maximization of Bangladeshi Consumers within Their Budget: A Mathematical Procedure. Journal of Economic Development, Environment and People, 10(3), 60-85. Mohajan, H. K. (2021b). Product Maximization Techniques of a Factory of Bangladesh: A Sustainable Procedure. American Journal of Economics, Finance and Management, 5(2), 23-44. Mohajan, H. K. (2021c). Estimation of Cost Minimization of Garments Sector by Cobb-Douglass Production Function: Bangladesh Perspective. Annals of Spiru Haret University. Economic Series, 21(2), 267-299. Mohajan, H. K. (2022a). Cost Minimization Analysis of a Running Firm with Economic Policy. Annals of Spiru Haret University. Economic Series, 22(3), 171-181. Mohajan, H. K. (2022b). Four Waves of Feminism: A Blessing for Global Humanity. Studies in Social Science & Humanities, 1(2), 1-8. Mohajan, H. K. (2022c). Food Insecurity and Malnutrition of Africa: A Combined Attempt Can Reduce Them. Journal of Economic Development, Environment and People, 11(1), 24-34. Mohajan, H. K., & Datta, R. (2012). Importance of Equity Market for Economic Development in Bangladesh. Lambert Academic Publishing, Germany. Mohajan, H. K., Islam, J. N., & Moolio, P. (2013). Optimization and Social Welfare in Economics. Lambert Academic Publishing, Germany. Moolio, P., Islam, J. N., & Mohajan, H. K. (2009). Output Maximization of an Agency. Indus Journal of Management and Social Sciences, 3(1), 39-51. Pandey, P., & Pandey, M. M. (2015). Research Methodology: Tools and Techniques. Bridge Center, Romania, European Union. Polit, D. F., & Hungler, B. P. (2013). Essentials of Nursing Research: Methods, Appraisal, and Utilization (8th Ed.). Philadelphia: Wolters Kluwer/Lippincott Williams and Wilkins. Rahman, M. M., & Mohajan, H. K. (2019). Rohingya-The Stateless Community Becoming the Lost Generation. Journal of Economic Development, Environment and People, 8(2), 24-36. Roy, L., Molla, R., & Mohajan, H. K. (2021). Cost Minimization is Essential for the Sustainability of an Industry: A Mathematical Economic Model Approach. Annals of Spiru Haret University Economic Series, 21(1), 37-69. Samuelson, P. A. (1947). Foundations of Economic Analysis. Harvard University Press, Cambridge, MA. Somekh, B., & Lewin, C. (2005). Research Methods in the Social Sciences. Sage Publications. Tripathi, A. (2019). Profit Maximization Theory and Value Maximization Theory. International Journal of Scientific Development and Research, 4(6), 284-289. Wiese, H. (2021). Cost Minimization and Profit Maximization. In Advanced Microeconomics. Springer Gabler, Wiesbaden. https://doi.org/10.1007/978-3-658-34959-2_9 |

URI: | https://mpra.ub.uni-muenchen.de/id/eprint/116538 |