Articles
| Open Access | TITLE: OPTIMIZATION OF RESOURCE ALLOCATION IN SMALL BUSINESS MANAGEMENT: A MATHEMATICAL APPROACH
Nodira T. Axmedova , 3rd-year student, Faculty of Applied Mathematics, Bukhara State University Bukhara, UzbekistanAbstract
This research addresses the critical challenge of resource management in small enterprises. Unlike large corporations, small businesses operate under severe budgetary and material constraints. This paper develops a linear programming model to maximize profitability by optimizing the distribution of limited labor and raw materials. By applying the Simplex method to a practical case study, the results demonstrate a potential increase in operational efficiency, proving that mathematical precision is superior to intuitive management.
Keywords
Mathematical modeling, Linear programming, Resource optimization, Small business, Profit maximization.
References
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Anderson, D. R., et al. (2020). An Introduction to Management Science: Quantitative Approaches to Decision Making. Cengage Learning.
Vanderbei, R. J. (2020). Linear Programming: Foundations and Extensions. Springer Nature.
Bazaraa, M. S., Jarvis, J. J., & Sherali, H. D. (2010). Linear Programming and Network Flows (4th ed.). Wiley.
Winston, W. L. (2004). Operations Research: Applications and Algorithms (4th ed.). Thomson Brooks/Cole.
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