NCERT Solutions Exercise 12.2 Class 12 Maths Linear Programming

NCERT Solutions for Class 12 Maths Exercise 12.2: Linear programming, also known as LP, can be defined as the method performed to determine the best and most suitable outcome for a linear function. Exercise 12.2 Class 12 Maths helps carry out simple assumptions and perform linear optimisation. Linear programming is applicable in various industries like manufacturing, transportation, energy and telecommunications. 

Chapter 12.2 of Class 12 Maths talks about Manufacturing, Diet, and Transportation Problems. Embibe delivers a set of 470+ practice questions for all the problems in the Linear Programming chapter. Students must practice all the in-text questions suggested by Embibe without fail to score good marks in the exams. Keep reading the article to access NCERT solutions for Class 12 Maths Exercise 12.2.

NCERT Solutions for Class 12 Maths Chapter 12: Important Topics

Linear Programming is one of the most important topics in Class 12 Maths. Students must focus on learning the concepts so that they can easily solve the problems. Also, Linear Programming becomes helpful for the students to solve problems during entrance exams.

Embibe delivers NCERT solutions to each and every question of the Class 12 Maths Chapter 12.2 textbook, considering the latest syllabus. Students must practice the questions at Embibe without fail to score maximum marks in the exams. Along with NCERT solutions, students can also access NCERT 3D Videos, NCERT Exemplars, Embibe Explainers, etc., for.

Below, we have provided the list of all topics included in Class 12 Maths Chapter 12.2.

NCERT Solutions for Class 12 Maths Exercise 12.2: Points to Remember

Some important points to be remembered from Class 12 Maths Chapter 12 are provided below for quick reference for students.

• Introduction to Linear Programming: Given a set of m linear inequalities or equations in n variables, we wish to find non-negative values of these variables which will satisfy these inequalities or equations and maximise/minimise or some linear function of the variables.
• Solution of Linear programming problem (LPP): A set of values of the decision variables which satisfy the constraints of a linear programming problem (LPP) is called a solution of the LPP.
• Feasible solution and Feasible region: A solution of a linear programming problem which also satisfies the non-negativity restrictions of the problem is called its feasible solution. The set of all feasible solutions of a linear programming problem is called the feasible region.
• Optimal solution: A feasible solution which optimises (maximise or minimise) the objective function of a LPP is called an optimal solution of the LPP. A linear programming problem may have many optimal solutions.
• Extreme point theorem: It states that if an LPP admits an optimal solution, then at least one of the extreme (or corner) points of the feasible region gives the optimal solution.

NCERT Solutions for Class 12: All Chapters

Students can find the detailed NCERT solutions for Class 12 Maths all chapters as mentioned below:

• Chapter 1: Relations and Functions
• Chapter 2: Inverse Trigonometric Functions
• Chapter 3: Matrices
• Chapter 4: Determinants
• Chapter 5: Continuity and Differentiability
• Chapter 6: Applications 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

FAQs

Q.1: What is meant by Linear Programming?
Ans: Linear programming is a method that is applied to determine the best outcomes (for example – maximum profit or lowest costs) when other situations are provided. 

Q.2: What is the weightage of CBSE Class 12 Exercise 12.2 Maths?
Ans: Class 12 Maths Chapter 12 exercise 12.2 linear programming carries a total of 5 marks in the CBSE Class 12 exams. 

Q.3: Where can I find solutions for CBSE Class 12 Maths?
Ans. Students can find all the solutions for CBSE Class 12 Maths, including the detailed solutions for Linear Programming at Embibe.

Q.4: What are the topics involved in CBSE Class 12 exercise 12.2 Class 12 Maths?
Ans. The topics involved in linear programming include linear programming problems and mathematical formulation, mathematical formulation of the problems, graphical method of solving linear programming problems and different types of linear programming problems. Students can find the detailed syllabus of CBSE Class 12 Maths on the official website.

Q.5: What are the applications of Linear Programming?
Ans. Linear programming plays an important role in determining the cost-effective methods in business, profit maximization, and finding the number of nutrients/constituents to be included in the diet while maintaining a low expense.