NCERT Solutions for Class 12 Maths Chapter 12 Linear Programming
NCERT Solutions for Class 12 Maths Chapter 12 Linear Programming: We often come across problems where we seek to maximize profit or minimize cost. NCERT solutions for class 12 maths chapter 12 linear programming is helpful to find the most optimal solution for such problems. In the NCERT solutions for class 12 maths chapter 12 linear programming you will learn to formulate these real-life problems into a mathematical model. In class 11th you have already learnt linear inequalities and their solutions by the graphical method and systems of linear equations and their applications in daily life problems. In this chapter, you are going to deal with problems on linear programming like maximization and minimization of equations, mathematical and graphical methods to solve problems of linear programming. In NCERT solutions for class 12 maths chapter 12 linear programming article, questions from all these topics are covered. Check all NCERT solutions from class 6 to 12 at a single place, which will help you get a better understanding of concepts in a much easy way. Here you will get NCERT solutions for class 12 also.
Generally, one question( 5 marks) from this chapter is asked in the 12th board final examination. In this chapter, there are 2 exercises with 21 questions. In this article, you will find NCERT solutions for class 12 maths chapter 12 linear programming which are prepared and explained in a detailed manner. It will help you to score well in the board exam as well as in the competitive exams.
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 maximize his total profit, assuming that he can sell all the items which he buys.
That type of problem which involves- minimize profit or maximize cost is called optimization problems. Linear programming problems are a very important class of optimization problems. The above-stated problem is an example of linear programming. This chapter is an important chapter because of its wide applicability in industry, management science, commerce, etc. In this chapter, you will learn mathematical and graphical methods to solve problems of linear programming.
Topics of NCERT class 12 maths chapter-12 Linear Programming
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
Frequently Asked Question (FAQs) - NCERT Solutions for Class 12 Maths Chapter 12 Linear Programming
Question: How does NCERT solutions are helpful in CBSE board exam ?
As most the questions in CBSE board exam are asked directly from NCERT textbook, so one must know the NCERT well but only knowing the answer is not guarantee to score good marks in the exam. One should know how to answer in board exam in order to get good marks. NCERT solutions are provided by the experts who knows how best to write answer in the board exam in order to get good marks.
Question: Does the chapter linear programming has practical application in real-life ?
Yes, linear programming is useful in formulate these real-life problems into a mathematical model and than solve them. Some optimisation problems like maximizing the profits and minimizing the cost can be solved by linear programming.
Question: Does CBSE provides the solutions of NCERT for class 12 maths ?
No, CBSE doesn’t provided NCERT solutions for any class or subject.
Question: Where can I find the complete solutions of NCERT for class 12 maths ?
A Here you will get the detailed NCERT solutions for class 12 maths by clicking on the link.
Question: What is the weightage of the chapter Linear Programming for CBSE board exam ?
Generally, one question of 5 marks is asked from this chapter in the CBSE 12th board final exam.
Question: What are the important topics in chapter Linear Programming ?
Linear programming problem and its mathematical formulation, graphical method of solving linear programming problems are the important topics of this chapter.
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