Authors: Dr Vinit Kumar Sharma, Madhav Kalra
Abstract: 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 alloca-tion, production planning, transportation, finance, agriculture, healthcare, and industrial manage-ment. The purpose of this research paper is to study the fundamental concepts of linear program-ming, 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.
