Study Chapter Details

UP Board Class 12 Mathematics – Linear Programming

The chapter Linear Programming (LPP) in UP Board Class 12 Mathematics introduces students to optimization problems that are widely used in economics, business, and management. Students learn how to formulate real-life problems as linear inequalities, identify feasible regions, and use graphical methods to find optimal solutions.



Key topics include definition of linear programming problems, constraints, objective functions, feasible and infeasible solutions, and corner-point method. The chapter emphasizes maximization and minimization problems, helping students understand how to determine the best outcome given limited resources.

Linear Programming strengthens logical reasoning, analytical skills, and problem-solving abilities. Mastery of this chapter is important for UP Board exams and forms a foundation for higher-level mathematics, operational research, and competitive exams like JEE and management entrance tests.