# NCERT Solutions for Class 12 Maths Chapter 12 Linear Programming

## NCERT Solutions for Class 12 Maths Chapter-12 Linear Programming

In class 11th we already study linear inequalities and their solutions by the graphical method and also learnt systems of linear equations and their applications in daily life problems. In maths chapter 12 Linear programming we are going to deal with problems on linear programming like maximization and minimization of equations.  In this chapter, there are 2 exercises with 21 questions. The NCERT Solutions for Class 12 Maths Chapter-12 Linear Programming are prepared and solved by subject experts for the students to score well with good marks in the board exam as well as in the competitive exams.

In NCERT Class 12 Maths Chapter-12 Linear Programming, we will apply the systems of linear equations/inequalities to solve some real-life problems. Let's take an NCERT problem - A furniture dealer deals in only two items–chairs and tables. Has storage space of at most 60 pieces and He has Rs 50,000 to invest. A chair costs Rs 500 and A table costs Rs 2500. He estimates that from the sale of one chair, he can make a profit of Rs 75 and that from the sale of one table a profit of Rs 250. He wants to know how many chairs and tables he should buy from the available money so as to maximise his total profit, assuming that he can sell all the items which he buys.

That type of problems which involve- minimize profit or maximize cost is called optimisation problems. Linear programming problems are a very important class of optimisation problems. The above-stated problem is an example of linear programming. Class 12 NCERT Maths Chapter-12 Linear Programming is an important chapter because of their wide applicability in industry, management science, commerce, etc. In this chapter, we will learn mathematical and graphical methods to solve problems of linear programming.

## Topics of NCERT Grade 12 Maths Chapter-12 Linear Programming

12.1 Introduction

12.2 Linear Programming Problem and its Mathematical Formulation

12.2.1 Mathematical formulation of the problem

12.2.2 Graphical method of solving linear programming problems

12.3 Different Types of Linear Programming Problems

NCERT Solutions for Class 12 Maths Chapter 12 Linear Programming- Exercise Questions

NCERT Solutions for Class 12 Maths Chapter 12 Linear Programming Exercise 12.1

NCERT Solutions for Class 12 Maths Chapter 12 Linear Programming Exercise 12.2

NCERT Solutions for Class 12 Maths Chapter 12 Linear Programming Miscellaneous

## NCERT Solutions for class 12- Maths

 Chapter 1 Relations and Functions Chapter 2 Inverse Trigonometric Functions Chapter 3 Matrices Chapter 4 Determinants Chapter 5 Continuity and Differentiability Chapter 6 Application of Derivatives Chapter 7 Integrals Chapter 8 Application of Integrals Chapter 9 Differential Equations Chapter 10 Vector Algebra Chapter 11 Three Dimensional Geometry Chapter 13 Probability