Articles | Open Access |

OPTIMAL ALLOCATION OF RESOURCES IN FURNITURE PRODUCTION: PROFIT MAXIMIZATION USING THE SIMPLEX METHOD

Arabova Farzanabonu Akmaljon kizi,Mamatova Zilolakhan Khabibullokhanovna , Fergana​ state university

Abstract

This in the article furniture working in the release optimal allocation of resources issue Simplex method using Furniture​​​ company's six product type ( chair , table , sofa, wardrobe , armchair , bed ) and six resource ( oil , cloth , metal , paint , labor ) power , energy ) based on structured linear programming model analysis The research is being conducted purpose – limited resources under the circumstances weekly profit maximize for the most good working release plan definition . Simplex of the method step calculations resulting in an optimal solution as 10 sofas and 10 wardrobes working release offer is 1100 thousand​​ soum​ maximum benefit brings . Article linear programming theoretical Basics , Simplex of the method practical application​ and his/her working release processes in optimization importance illuminates . Research results in real life economic problems solution in doing mathematician models efficiency shows .​

Keywords

furniture production, resource allocation, optimal solution, simplex method, profit maximization, linear programming, production planning, resource constraints, wood, fabric, metal, paint, labor, energy, sofa, wardrobe, mathematical model, economic efficiency, iteration, pivot element.

References

Dantzig, G. B. (1963). Linear Programming and Extensions. Princeton University Press.

Hillier, F. S., & Lieberman, G. J. (2010). Introduction to Operations Research. McGraw-Hill Education.

Taha, H. A. (2017). Operations Research: An Introduction. Pearson Education.

Winston, W. L. (2004). Operations Research: Applications and Algorithms. Duxbury Press.

Winston, W. L. (2004). Operations Research: Applications and Algorithms. Duxbury Press.

Article Statistics

Downloads

Download data is not yet available.

Copyright License

Download Citations

How to Cite

OPTIMAL ALLOCATION OF RESOURCES IN FURNITURE PRODUCTION: PROFIT MAXIMIZATION USING THE SIMPLEX METHOD. (2025). International Journal of Artificial Intelligence, 5(04), 1240-1247. https://www.academicpublishers.org/journals/index.php/ijai/article/view/4066