Linear Programming is a robust mathematical technique that optimizes a linear objective function while adhering to linear constraints. This paper revolves around the theory and real-world applications of Linear Programming Problems (LPP), focusing on sectors like economics, manufacturing and resource management. The paper examines the most widely used solution method i.e. Graphical Method including the Graphical Method Type I (Extreme Point Method) and Graphical Method Type II (Iso-Profit/Cost Method) and a comparative analysis between them highlighting their computational efficiency and convergence properties. A Real-life problem associated with the Production ofToys in a Toy Factory has been provided to illustrate how the Linear Programming Model can enhance a decisionmaking process. Additionally, the study addresses and reviews the formulation of Linear Programming Model. Ultimately, the paper seeks to contribute to the formulation of more efficient models for solving LPP’s and broadening their practical applications.
| Published in | Abstract Book of the National Conference on Advances in Basic Science & Technology |
| Page(s) | 116-116 |
| Creative Commons |
This is an Open Access abstract, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2025. Published by Science Publishing Group |
Linear Programming Problem (LPP), Graphical Method, Extreme (Corner) Point Method, Iso-Profit/Cost Method
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