Study Of Linear Programming Problem (LPP) And Its Practical Applications

Linear Programming Problem (LPP) is one of the most important optimization techniques in operations research and applied mathematics. It is used to determine the best possible outcome under a set of linear constraints. LPP plays a significant role in decision-making, resource allocation, production planning, transportation, finance, agriculture, healthcare, and industrial management. The purpose of this research paper is to study the fundamental concepts of linear programming, its mathematical formulation, methods of solution, and practical applications in different sectors. The study also highlights advantages, limitations, and future prospects of LPP in modern computational and industrial systems.