Linear Programming Question Answers: NCERT Class 12 Mathematics

Welcome to the Chapter 12 - Linear Programming, Class 12 Mathematics - NCERT Solutions page. Here, we provide detailed question answers for Chapter 12 - Linear Programming.The page is designed to help students gain a thorough understanding of the concepts related to natural resources, their classification, and sustainable development.

Our solutions explain each answer in a simple and comprehensive way, making it easier for students to grasp key topics Linear inequalities in one variable, algebraic solutions, representation on the number line. and excel in their exams. By going through these Linear Programming question answers, you can strengthen your foundation and improve your performance in Class 12 Mathematics. Whether you're revising or preparing for tests, this chapter-wise guide will serve as an invaluable resource.

Linear programming is a method in which we represent problems with the help of graphs. It will enhance our practical understanding toward problems. This chapter consists of definitions of related terminology such as constraints, objective function, optimization, different types of linear programming problems, mathematical formulation graphical methods, feasible and infeasible regions and solutions, optimal feasible solutions.

Download PDF - Chapter 12 Linear Programming - Class 12 Mathematics

Download PDF - NCERT Examplar Solutions - Chapter 12 Linear Programming - Class 12 Mathematics

Exercise 1

  • Q1

    Maximise Z = 3x + 4y

    Subject to the constraints:x + y ≤ 4, x ≥ 0, y ≥ 0

    Ans:

    The feasible region determined by the constraints, x + y ≤ 4, x ≥ 0, y ≥ 0, is as follows.

    The corner points of the feasible region are O (0, 0), A (4, 0), and B (0, 4). The values of Z at these points are as follows.

    Corner point

    Z = 3x + 4y

     

    O(0, 0)

    0

     

    A(4, 0)

    12

     

    B(0, 4)

    16

    → Maximum

    Therefore, the maximum value of Z is 16 at the point B (0, 4).


Key Features of NCERT Class 12 Mathematics Chapter 'Linear Programming' question answers :

  • All chapter question answers with detailed explanations.
  • Simple language for easy comprehension.
  • Aligned with the latest NCERT guidelines.
  • Perfect for exam preparation and revision.

Popular Questions of Class 12 Mathematics