# RS Aggarwal Class 12 Chapter 33 Solutions (Linear Programming)

RS Aggarwal Solutions for Class 12 Chapter 33 ‘Linear Programming’ are prepared to facilitate you with the practice of the questions of Linear Programming. The chapter of RS Aggarwal Class 12 Solutions is an interesting topic that deals with problems related to optimisation, for example, maximization of profit or minimization of the cost. You will discover the properties, applications and day to day usage of the techniques of Linear Programming. You will learn the mathematical formulation of the problems and the next step, that is, the graphical method of solving a problem in Linear Programming.

There are 54 questions and 2 exercises in this chapter that thoroughly cover the complete algorithm of formulating mathematical representation as well as obtaining the solution of the Linear Programming through the graphical method. These questions have the least chances of silly errors and hence are very scoring from the CBSE exam point of view. It is advised to you to practise these questions with the help of the detailed solutions provided by us. This topic also has importance in higher studies of sciences and commerce both making it a subject of utmost relevance besides having practical solutions in or day to day lives.

The Instasolv experts have worked very hard to solve RS Aggarwal Solutions for Class 12 Maths Chapter 33 ‘Linear Programming’. You will find these solutions compatible with your level of understanding. They will keep you engaged and will help you get out of the stigma that persists against mathematics being a boring or difficult subject.

## Important Sub-Topics Covered in RS Aggarwal Solutions for Class 12 Chapter 33 Linear Programming

**Introduction to Linear Programming:**

The problems of Linear Programming are very interesting as they have a broad range of applications in our daily lives such as in manufacturing sector industries, commerce, management sciences and many more sectors. The graphical method of solving such problems of optimization is very convenient and can be very easily practised

**Linear Programming Problems and their Mathematical Representation**

You must first be able to decide if it is a maximum objective function or minimum objective function. Accordingly, you will have to formulate a mathematical definite format for the given problem before solving the questions employing the topic of Linear Programing. All the questions in linear programming problems have a set of defined specifications in a given situation or format. All the problems, mandatorily, comprise of an objective function which is needed to be either minimized or maximised based upon some given linear constraints and important decision variables. Also, often there are some non-negative constraints that are given in the exercise problems of Linear Programming.

**Finding Solutions of the Linear Programming problems with the aid of the Graphical Method:**

We can solve the linear programming problems by employing various methods, but in this reference source, we will adhere to the CBSE Boards Syllabus and find the solutions of the given linear programming problem by employing the graphical method. The graph of the given system which we formulated in the first step, that is designated by the shaded region contains all the points common to each and every half-plane that are determined by inequalities. Every point in the shaded region of the graph suggests a feasible solution for the problem and hence is termed as the feasible region for the linear program. Therefore, it can be concluded that all points in the shaded regions are feasible answers.

**Different Types of Linear Programming Problems:**

You will find all kinds of Linear Programming Problems from the practical life and accordingly their solving methods as prescribed for different problems such as profit maximisation problems, manufacturing problems, management of inventories, diet problems, allocation problems, transportation problems.

## Exercise Wise Discussion of RS Aggarwal Solutions for Class 12 Chapter 33 Linear Programming

- In the first exercise, there ate only 11 questions where you need to find the solution of the given equations with the help of a graph.
- Exercise 2 of the chapter contains 43 long-answer-type questions based on the concept of linear programming.
- With the help of the exercise solutions for RS Aggarwal Class 12 Chapter 30 of Linear Programming, you will be able to answer the problems of optimisation confidently and quickly.
- This is a very important topic to score full marks in your school and board exams. The questions are not many and are arranged in an orderly fashion to match the pace of your compatibility with the problems.

## Benefits of RS Aggarwal Solutions for Class 12 Maths Chapter 33 by Instasolv

The expert team of maths teachers at Instasolv employs attractive graphics to help you make a clear understanding of the subject. The Maths faculty at Instasolv in not only highly proficient and capable but also well-aware of the continuously changing answer trends and increasing competition for students. Thus, they have formulated easy to understand RS Aggarwal Solutions for your reference. We, at Instasolv, believe that sophistication lies in simplicity, therefore we intend to use simple language for your convenience.