Class 12 NCERT • Mathematics Part 2 (New Syllabus)
Mathematics Part 2 Ch 12: Linear Programming
Select a topic or study module below to explore linear programming problems (LPP), mathematical formulation, graphical method of solution, feasible and infeasible regions, optimal solutions, corner point method, and comprehensive textbook problem solutions.
Topic 01 • LPP Formulation
Exploring Linear Programming Applications, Decision Variables, Objective Functions, and Constraint Inequalities
Topic 02 • Graphical Inequalities
Analyzing Half-Planes, Boundary Lines, Non-Negative Restrictions (x ≥ 0, y ≥ 0), and Test Point Methods
Topic 03 • Feasible Regions
Studying Common Solution Regions, Bounded vs Unbounded Feasible Regions, and Infeasible System Properties
Topic 04 • Corner Point Method
Investigating Fundamental Theorems of Linear Programming, Corner Point Evaluation, Maximum and Minimum Values
Topic 05 • Manufacturing & Diet Problems
Examining Production Planning, Resource Allocation, Maximizing Profit, and Minimizing Cost in Diet Combinations
Topic 06 • Allocation Problems
Analyzing Transportation Scheduling, Warehouse Distribution Models, and Multi-Constraint Linear Models
Topic 07 • Multiple & Unbounded Solutions
Studying Cases with Infinitely Many Optimal Solutions, Unbounded Feasible Regions, and Half-Plane Tests
Module 08 • Solutions & Chapter Review