**NCERT Solutions for Class 12 Maths Chapter 12 Linear Programming**

NCERT Solutions for Class 12 Maths Chapter 12 will provide the basic fundamentals of linear programming to score better marks in exams. Our experts of Maths have done hard work to keep detailed eyes on the subject and to give these NCERT solutions for class 12 Maths Linear Programming.

NCERT Solutions for Class 12 Maths for chapter 12 Linear Programming are very helpful in providing the strong concept of a new topic linear programming. NCERT Solutions for Linear Programming Class 12 Maths give the concrete view about optimization problems and one of its important category i.e. linear programming. These solutions will also help you with homework.

Our team of dedicated teachers has created NCERT solutions for class 12 Maths for Chapter 12 Linear Programming according to curriculum and CBSE syllabus. Toppr will help you to get complete NCERT solutions.

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**CBSE Class 12 Maths Chapter 12 – Linear Programming NCERT Solutions**

NCERT solutions for class 12 Maths for Chapter 12 Linear Programming will help the students to understand a new concept of optimization problems. It presents the problems and their solutions in a very effective way. In this chapter, the student will learn linear programming problems and their solutions by graphical method only. The conceptual background of linear programming is very much necessary for other branches of mathematics.

**Sub-topics covered under NCERT Solutions for Class 12 Maths Chapter 12**

- 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**

NCERT solutions for class 12 Maths for Chapter 12 Linear Programming will give detailed knowledge about solving Optimization problems. Optimization problems are the problems that seek to maximize or minimize the profit or cost. So, it involves the finding of maximum profit or minimum cost. This chapter covers some main aspects of linear programming problems with their types, operations, and applications.

Let us discuss the sub-topics in detail.

**12.1 Introduction:**

Linear programming problems are of much interest due to their wide applicability in industry, commerce, management science, etc. The graphical method is easily used for solving linear programming problems.

**12.2 Linear Programming Problem and its Mathematical Formulation:**

Before solving a linear programming problem one has to formulate it in a proper and definite format. It may be with the maximum or minimum objective function.

**12.2.1 Mathematical formulation of the problem:**

Each linear programming problem has a specific format of definition. Each problem will have an objective function which has to maximize/minimize based upon the linear constraints and decision variables. Some non-negative constraints will also be given.

**12.2.2 Graphical method of solving linear programming problems:**

There are many methods are available to solve linear programming problems. But as per CBSE syllabus, we will use only the Graphical method. The graph of the given system i.e. shaded region contains the point’s common to all half-planes determined by the inequalities. Each point in this region represents a feasible option. This region is the feasible region for the problem. Each point in this region is called a feasible solution to the problem.

**12.3 Different Types of Linear Programming Problems:**

This topic will discuss various types of Linear Programming Problems and accordingly their solving methods. These types are manufacturing problems, Diet problems, Allocation Problem, Transportation problems, etc.

**You can download NCERT Solutions for Class 12 Maths Chapter 12 PDF by clicking on the download button below**

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