A Study on Nonlinear Budget Constraint of a Local Industrial Firm of Bangladesh: A Profit Maximization Investigation

Mohajan, Devajit and Mohajan, Haradhan (2023): A Study on Nonlinear Budget Constraint of a Local Industrial Firm of Bangladesh: A Profit Maximization Investigation. Published in: Law and Economy , Vol. 2, No. 5 (12 May 2023): pp. 27-33.

Abstract

Every local or global firm expects to achieve maximum profit for its survival in sustainable economic environment. This article considers that a local industrial firm of Bangladesh has achieved maximum profit during its total operation. So that this study directly tries to calculate maximum profit and also Lagrange multiplier for profit maximization investigation by the consideration of nonlinear budget constraint. In this study Cobb-Douglas production function is considered as profit function to operate mathematical procedures. Method of Lagrange multiplier is also applied here to obtain accurate results.

• Item Type: MPRA Paper
• Language: English
• Keywords: Profit maximization, Lagrange multiplier, nonlinear budget constraint
• Subjects: C - Mathematical and Quantitative Methods > C0 - General > C02 - Mathematical Methods; C - Mathematical and Quantitative Methods > C3 - Multiple or Simultaneous Equation Models ; Multiple Variables > C38 - Classification Methods ; Cluster Analysis ; Principal Components ; Factor Models; C - Mathematical and Quantitative Methods > C4 - Econometric and Statistical Methods: Special Topics > C41 - Duration Analysis ; Optimal Timing Strategies; 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 > C5 - Econometric Modeling > C53 - Forecasting and Prediction Methods ; Simulation Methods; 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; E - Macroeconomics and Monetary Economics > E2 - Consumption, Saving, Production, Investment, Labor Markets, and Informal Economy; E - Macroeconomics and Monetary Economics > E2 - Consumption, Saving, Production, Investment, Labor Markets, and Informal Economy > E27 - Forecasting and Simulation: Models and Applications; I - Health, Education, and Welfare > I3 - Welfare, Well-Being, and Poverty; J - Labor and Demographic Economics > J3 - Wages, Compensation, and Labor Costs

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.

Chowdhury, T. U., Datta, R., & Mohajan, H. K. (2013). Green Finance is Essential for Economic Development and Sustainability. International Journal of Research in Commerce, Economics & Management, 3(10), 104-108.

Cobb, C. W., & Douglass, P. H. (1928). A Theory of Production. American Economics Review, 18(1), 139-165.

Das, S., & Mohajan, H. K. (2014a). Mock Theta Conjectures. Journal of Environmental Treatment Techniques, 2(1), 22-28.

Das, S., & Mohajan, H. K. (2014b). Generating Functions for X(n) and Y(n). American Review of Mathematics and Statistics, 2(1), 41-43.

Das, S., & Mohajan, H. K. (2014c). The Number of Vector Partitions of n (Counted According to the Weight) with Crank m. International Journal of Reciprocal Symmetry & Theoretical Physics, 1(2), 91-105.

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.

Gibbs, R. W., Jr. (2008). Metaphor and Thought: The State of the Art. In R. W. Gibbs, Jr. (Ed.), The Cambridge Handbook of Metaphor and Thought. Cambridge University Press, Cambridge.

Grinnell, R. Jr. (Eds.) (1993). Social Work Research and Evaluation (4th Ed.). Itasca, I L, F. E. Peacock.

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. (2010a). Utility Maximization Subject to Multiple Constraints. Indus Journal of Management & Social Sciences, 4(1), 15-29.

Islam, J. N., Mohajan, H. K., Moolio, P., & Reymond, P. (2010b). A Study on Global Human-Immunodeficiency Virus and its Effect in Bangladesh. KASBIT Business Journal, 3(1), 64-87.

Islam, J.N.; Mohajan, H. K., & Moolio, P. (2011a), Output Maximization Subject to a Nonlinear Constraint, KASBIT Business Journal, 4(2), 104-120.

Islam, J. N., Mohajan, H. K., & Paul, J. (2011b). Taxes on Cars and Gasoline to Control of Air Pollution: Suggested Models for Bangladesh. Indus Journal of Management & Social Sciences, 5(2), 60-73.

Islam, J. N., Mohajan, H. K., & Moolio, P. (2011c). Method of Voting System and Manipulation of Voting. International Journal of Management and Transformation, 5(1), 10-34.

Islam, J. N., Mohajan, H. K., & Datta, R. (2012a). Aspects of Microfinance System of Grameen Bank of Bangladesh. International Journal of Economics and Research, 3(4), 76-96.

Islam, J. N., Mohajan, H. K., & Datta, R. (2012b). Stress Management Policy Analysis: A Preventative Approach. International Journal of Economics and Research, 3(6), 1-17.

Islam, J. N., Mohajan, H. K., & Moolio, P. (2012c). Borda Voting is Non-manipulable but Cloning Manipulation is Possible. International Journal of Development Research and Quantitative Techniques, 2(1), 28-37.

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. (2010a). Utility Maximization Subject to Multiple Constraints. Indus Journal of Management & Social Sciences, 4(1), 15-29.

Islam, J. N., Mohajan, H. K., & Moolio, P. (2010b). Output Maximization Subject to a Nonlinear Constraint. KASBIT Business Journal, 4(1), 116-128.

Islam, J. N., Mohajan, H. K., & Moolio, P. (2011). Output Maximization Subject to a Nonlinear Constraint. KASBIT Business Journal, 4(1), 116-128.

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, D., & Mohajan, H. K. (2023g). Sensitivity Analysis for Profit Maximization with Respect to Per Unit Cost of Subsidiary Raw Materials. Frontiers in Management Science, 2(2), 13-27.

Mohajan, D., & Mohajan, H. K. (2023h). Families of Grounded Theory: A Theoretical Structure for Novel Researchers. Studies in Social Science & Humanities, 2(1), 56-65.

Mohajan, D., & Mohajan, H. K. (2023i). Broca Index: A Simple Tool to Measure Ideal Body Weight. Innovation in Science and Technology, 2(2), 21-24.

Mohajan, D., & Mohajan, H. K. (2023j). Obesity and Its Related Diseases: A New Escalating Alarming in Global Health. Journal of Innovations in Medical Research, 2(3), 12-23.

Mohajan, D., & Mohajan, H. K. (2023k). A Study on Body Fat Percentage for Physical Fitness and Prevention of Obesity: A Two Compartment Model. Journal of Innovations in Medical Research, 2(4), 1–10.

Mohajan, D., & Mohajan, H. K. (2023l). Sensitivity Analysis of Inputs of an Organization: A Profit Maximization Exploration. Law and Economy, 2(4), 32-48.

Mohajan, D., & Mohajan, H. K. (2023m). Ponderal Index: An Important Anthropometric Indicator for Physical Growth. Unpublished Manuscript.

Mohajan, D., & Mohajan, H. K. (2023n). Long-Term Regular Exercise Increases V̇O2max for Cardiorespiratory Fitness. Innovation in Science and Technology, 2(2), 38-43.

Mohajan, D., & Mohajan, H. K. (2023o). Sensitivity Analysis between Lagrange Multipliers and Consumer Budget: Utility Maximization Case. Annals of Spiru Haret University. Economic Series, 23(1), 167-185.

Mohajan, D., & Mohajan, H. K. (2023p). Glaserian Grounded Theory and Straussian Grounded Theory: Two Standard Qualitative Research Approaches in Social Science. Journal of Economic Development, Environment and People, 12(1), 72-81.

Mohajan, D., & Mohajan, H. K. (2023q). Economic Situations of Lagrange Multiplier When Costs of Various Inputs Increase for Nonlinear Budget Constraint. Studies in Social Science & Humanities, 2(4), 40-64.

Mohajan, D., & Mohajan, H. K. (2023r). Sensitivity Analysis for Utility Maximization: A Study on Lagrange Multipliers and Commodity Coupons. Journal of Economic Development, Environment, and People, 12(1), 25-40.

Mohajan, D., & Mohajan, H. K. (2023s). Anorexia Nervosa: A Dreadful Psychosocial Health Complication. Unpublished Manuscript.

Mohajan, D., & Mohajan, H. K. (2023u). Binge-Eating: A Life-Threatening Eating Disorder. Unpublished Manuscript.

Mohajan, D., & Mohajan, H. K. (2023v). Panniculus Morbidus: A New Global Health Crisis Due to Extreme Obesity. Unpublished Manuscript.

Mohajan, D., & Mohajan, H. K. (2023w). Abdominal Elephantiasis: An Obstructive Disease Due to Extreme Obesity. Unpublished Manuscript.

Mohajan, D., & Mohajan, H. K. (2023x). Bulimia Nervosa: A Psychiatric Problem of Disorder. Innovation in Science and Technology, 2(3), 26-32.

Mohajan, D., & Mohajan, H. K. (2023y). Body Mass Index (BMI) is a Popular Anthropometric Tool to Measure Obesity among Adults. Journal of Innovations in Medical Research, 2(4), 25-33.

Mohajan, D., & Mohajan, H. K. (2023z). Mathematical Model for Nonlinear Budget Constraint: Economic Activities on Increased Budget. Studies in Social Science & Humanities, 2(5), 20–40.

Mohajan, H. K. (2011a). Greenhouse Gas Emissions Increase Global Warming. International Journal of Economic and Political Integration, 1(2), 21-34.

Mohajan, H. K. (2011b). The NNP and Sustainability in Open Economy: Highlights on Recent World Economy and on Open Economy of Bangladesh. KASBIT Business Journal, 4(2), 32-47.

Mohajan, H. K. (2011c). Optimal Environmental Taxes Due to Health Effect. KASBIT Business Journal, 4(1), 1-19.

Mohajan, H. K. (2011d). The Real Net National Product in Sustainable Development. KASBIT Business Journal, 4(2), 90-103.

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). Importance of Green Marketing at Present and Future. Lambert Academic Publishing, Germany.

Mohajan, H. K. (2012d). Greenhouse Gas Emissions of the USA. Indus Journal of Management & Social Sciences, 6(2), 132-148.

Mohajan, H. K. (2012e). Relation between Lease Finance and Purchase. International Journal of Economics and Research, 3(3), 146-158.

Mohajan, H. K. (2012f). Air Pollution Causes Health Effects and Net National Product of a Country Decreases: A Theoretical Framework. International Journal of Development Research and Quantitative Techniques, 2(2), 3-10.

Mohajan, H. K. (2012g). Certainty and Uncertainty in Cap and Trade System or in Carbon Tax for Green Accounting to Decrease Greenhouse Gas Emissions. Indus Journal of Management & Social Sciences, 6(2), 108-122.

Mohajan, H. K. (2012h). Social Welfare and Social Choice in Different Individuals’ Preferences. International Journal of Human Development and Sustainability, 5(1), 11-22.

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. (2013f). Global Food Price Hike is a Burden to the Poor. International Journal of Information Technology and Business Management, 19(1), 1-15.

Mohajan, H. K. (2013g). Food, Agriculture and Economic Situation of Bangladesh. MPRA Paper No. 54240. https://mpra.ub.uni-muenchen.de/54240/

Mohajan, H. K. (2013h). Greenhouse Gas Emissions from Small Industries and its Impact on Global Warming. KASBIT Business Journal, 6(1&2), 1-13.

Mohajan, H. K. (2013i). Scope of Raychaudhuri Equation in Cosmological Gravitational Focusing and Space-time Singularities. Peak Journal of Physical and Environmental Science Research, 1(7), 106–114.

Mohajan, H. K. (2013j). Violation of Human Rights in Bangladesh. Lambert Academic Publishing, Germany.

Mohajan, H. K. (2014a). Greenhouse Gas Emissions of China. Journal of Environmental Treatment Techniques, 1(4), 190-202.

Mohajan, H. K. (2014b). Chinese Sulphur Dioxide Emissions and Local Environment Pollution. International Journal of Scientific Research in Knowledge, 2(6), 265-276.

Mohajan, H. K. (2014c). The Most Fatal 2014 Outbreak of Ebolavirus Disease in Western Africa. American Journal of Epidemiology and Infectious Disease, 2(4), 101-108.

Mohajan, H. K. (2014d). Improvement of Health Sector in Kenya. American Journal of Public Health Research, 2(4), 159-169.

Mohajan, H. K. (2014e). Food and Nutrition of Bangladesh. Peak Journal of Food Science and Technology, 2(1), 1-17.

Mohajan, H. K. (2014f). Gravitational Collapse of a Massive Star and Black Hole Formation. International Journal of Reciprocal Symmetry & Theoretical Physics, 1(2), 125–140.

Mohajan, H. K. (2014g). General Upper Limit of the Age of the Universe. ARPN Journal of Science and Technology, 4(1), 4-12.

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. (2015d). Tuberculosis is a Fatal Disease among Some Developing Countries of the World. American Journal of Infectious Diseases and Microbiology, 3(1), 18-31.

Mohajan, H. K. (2015e). Generalization of Euler and Ramanujan’s Partition Function. Asian Journal of Applied Science and Engineering, 4(3), 167-190.

Mohajan, H. K. (2016a). An Analysis of Knowledge Management for the Development of Global Health. American Journal of Social Sciences, 4(4), 38-57.

Mohajan, H. K. (2016b). Global Hyperbolicity in Space-time Manifold. International Journal of Professional Studies, 1(1), 14-30.

Mohajan, H. K. (2016c). Singularities in Global Hyperbolic Space-time Manifold. Asian Journal of Applied Science and Engineering, 5(1), 41-58.

Mohajan, H. K. (2017a). 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. (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). Optimization Models in Mathematical Economics. Journal of Scientific Achievements, 2(5), 30-42.

Mohajan, H. K. (2017d). A Brief Analysis of de Sitter Universe in Relativistic Cosmology. Journal of Scientific Achievements, 2(11), 1-17.

Mohajan, H. K. (2017e). Development of Einstein’s Static Cosmological Model of the Universe. Journal of Scientific Achievements, 2(7), 18-30.

Mohajan, H. K. (2017f). Analysis of Reciprocity and Substitution Theorems, and Slutsky Equation. Noble International Journal of Economics and Financial Research, 2(3), 54-75.

Mohajan, H. K. (2017g). Research Methodology. Aspects of Mathematical Economics, Social Choice and Game Theory, PhD Thesis. Munich Personal RePEc Archive, 10, 1-20.

Mohajan, H. K. (2017h). Tacit Knowledge for the Development of Organizations. ABC Journal of Advanced Research, 6(1), 17-24.

Mohajan, H. K. (2018a). Qualitative Research Methodology in Social Sciences and Related Subjects. Journal of Economic Development, Environment and People, 2(1), 19-46.

Mohajan, H. K. (2018b). Aspects of Mathematical Economics, Social Choice and Game Theory. PhD Dissertation, Jamal Nazrul Islam Research Centre for Mathematical and Physical Sciences (JNIRCMPS), University of Chittagong, Chittagong, Bangladesh.

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. (2018d). Medical Errors Must be Reduced for the Welfare of the Global Health Sector. International Journal of Public Health and Health Systems, 3(5), 91-101.

Mohajan, H. K. (2018e). Analysis of Food Production and Poverty Reduction of Bangladesh. Annals of Spiru Haret University Economic Series, 18(1), 191-205.

Mohajan, H. K. (2019). The First Industrial Revolution: Creation of a New Global Human Era. Journal of Social Sciences and Humanities, 5(4), 377-387.

Mohajan, H. K. (2020a). Quantitative Research: A Successful Investigation in Natural and Social Sciences. Journal of Economic Development, Environment and People, 9(4), 50-79.

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. (2020c). The COVID-19 in Italy: Remedies to Reduce the Infections and Deaths. Malaysian Journal of Medical and Biological Research, 7(2), 59-66.

Mohajan, H. K. (2020d). Most Fatal Pandemic COVID-19 Outbreak: An Analysis of Economic Consequences. Annals of Spiru Haret University Economic Series, 20(2), 127-146.

Mohajan, H. K. (2020e). Circular Economy can Provide a Sustainable Global Society. Journal of Economic Development, Environment and People, 9(3), 38-62.

Mohajan, H. K. (2020f). The Second Industrial Revolution has Brought Modern Social and Economic Developments. Journal of Social Sciences and Humanities, 6(1), 1-14.

Mohajan, H. K. (2021a). Aspects of Global COVID-19 Pandemic. Lambert Academic Publishing, Germany.

Mohajan, H. K. (2021b). Global COVID-19 Pandemic: Prevention and Protection Techniques. Journal of Economic Development, Environment and People, 10(1), 51-72.

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. (2021d). 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. (2021e). Third Industrial Revolution Brings Global Development. Journal of Social Sciences and Humanities, 7(4), 239-251.

Mohajan, H. K. (2022a). Four Waves of Feminism: A Blessing for Global Humanity. Studies in Social Science & Humanities, 1(2), 1-8.

Mohajan, H. K. (2022b). An Overview on the Feminism and Its Categories. Research and Advances in Education, 1(3), 11-26.

Mohajan, H. K. (2022c). Cost Minimization Analysis of a Running Firm with Economic Policy. Annals of Spiru Haret University. Economic Series, 22(3), 317-337.

Mohajan, H. K. (2022d). Mathematical Analysis of SIR Model for COVID-19 Transmission. Journal of Innovations in Medical Research, 1(2), 1-18.

Mohajan, H. K. (2022e). 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., & Das, A. K. (2012). Emerging Equity Market and Economic Development: Bangladesh Perspective. International Journal of Economics and Research, 3(3), 128-145.

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.

Ojo, S. O. (2003). Productivity and Technical Efficiency of Poultry Egg Production in Nigeria. International Journal of Poultry Science, 2(6), 459-464.

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.

Schmedders, K. (2008). Numerical Optimization Methods in Economics. In S. N. Durlauf & L. E. Blume (Eds.), The New Palgrave Dictionary of Economics, pp. 4647-4666, New York.

Somekh, B., & Lewin, C. (2005). Research Methods in the Social Sciences. Sage Publications.

Zhao, Q., Zhang, Y., & Friedman, D. (2017). Multi-Product Utility Maximization for Economic Recommendation. WSDM, 435-443.