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RD Sharma Class 12 Solutions Chapter 30 - Linear programming (Ex 30.2) Exercise 30.2

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RD Sharma Class 12 Solutions Chapter 30 - Linear programming (Ex 30.2) Exercise 30.2 - Free PDF

Free PDF download of RD Sharma Class 12 Solutions Chapter 30 - Linear programming Exercise 30.2 solved by Expert Mathematics Teachers on Vedantu.com. All Chapter 30 - Linear programming Ex 30.2 Questions with Solutions for RD Sharma Class 12 Maths to help you to revise the complete Syllabus and Score More marks. Register for online coaching for IIT JEE (Mains & Advanced) and other engineering entrance exams.

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Competitive Exams after 12th Science

What is included in RD Sharma Class 12 Solutions Chapter 30 - Linear programming (Ex 30.2) Exercise 30.2 - Free PDF

RD Sharma Solutions for Class 12 Maths Chapter 30 Exercise 30.2 Linear Programming are provided here for the benefit of students. Students from CBSE, ICSE or other government board exams prefer RD Sharma Books to prepare for exams and other tests such as job entrance exams and various courses. The RD Sharma Class 12 solutions are specially designed by Vedantu’s team of experts.

Students can use these solutions to overcome the fear of solving maths and the solutions are designed in such a way that the students can find simple ways to solve different problems. These solutions can help students to refine their learning and problem-solving skills. Students can go through the RD Sharma solutions for class 12 chapter 30 Linear Programming Exercise 30.2 below and it will be beneficial for them.


Different Types of Linear Programming in RD Sharma Class 12 Solutions Chapter 30 - Linear programming (Ex 30.2) Exercise 30.2 - Free PDF

Different types of problems in the direct planning problem are included in the ideas of the 12th class. Of course:

(I) Production Problem - Here we increase profits with the help of less resource use.

(II) Eating Disorders - We determine the number of different nutrients in food to reduce production costs.

(III) Transportation Problem - Here we determine the plan to find the cheapest way to transport a product in a short time.


Some Important Terms of Linear Programming That You Should Know

There are certain words used in the construction and resolution of consecutive planning problems. Let's explain some of the keywords we will use here:

  • Objective Function: The linear function of the Z = ax + by form, where a and b are constant, which should be reduced or enlarged is called the linear objective function.

Consider for example, Z = 175x + 150y. This is the function of the line object. The variables x and y are called resolution variables.

  • Constraints: The linear inequalities or equations or limitations of LPP variables (Linear programming problems) are called constraints. Circumstances x ≥ 0, y ≥ 0 are called non-negative constraints.

For example, 5x + y ≤ 100; x + y ≤ 60 are obstacles.

  • Optimization Problem: A problem that seeks to increase or decrease linear function (say with two variables x and y) under certain constraints as determined by linear inequality set is called an optimization problem. Linear programming problems are special types of optimization problems.

  • Feasible Region: A feasible region determined by all given constraints including non-critical barriers (x ≥ 0, y ≥ 0) of the linear programming problem is called the potential region (or feasible region) of the problem. The region beyond the feasible region is called an infeasible region.

  • Feasible Solutions: These are the points within and in the scope of the space that may represent feasible solutions to the issues. Any point outside of a feasible area is called an infeasible solution.

  • Optimal (or feasible) Solution: Any point in a feasible region that provides the total amount (maximum or minimum) of the objective function is called the optimal solution.

FAQs on RD Sharma Class 12 Solutions Chapter 30 - Linear programming (Ex 30.2) Exercise 30.2

1. What are the main concepts of the Linear Programming in RD Sharma Solutions for Class 12 Maths Chapter 30 Exercise 30.2

This section recalls the discussion of linear programming, linear inequality, and the use of linear inequality in previous grades. Introduce the concept of full utilization problems and a special development problem called a linear programming problem, using an example. A good example of an improvement would be to increase profits and reduce the cost of production units.

The topics from Linear Programming are as follows:

  • The mathematical formulation of L.P.

  • Introduction, related terminology such as objective function, constraints.

  • Different types of linear programming (L.P.) problems.

  • Problems, graphical method of solution for problems in two variables.

  • Feasible and infeasible solutions.

  • Optimal feasible solutions (up to three non-trivial constraints).

  • Feasible and infeasible regions (bounded and unbounded).

2. What are the benefits of RD Sharma Class 12 Maths Solutions Chapter 30 Linear Programming?

Vedantu employs professionals with years of experience in teaching the most important lessons. As everyday practice is very important for getting good marks in CBSE and competitive exams, Vedantu employs the best professionals in this regard.


These Class 12 RD Sharma Maths Solutions are provided to ensure that they no longer need to be looked at anywhere to prepare the most complex concepts and related questionnaires. Get RD Sharma Class 12 Maths Solutions Chapter 30 Linear Programming free solutions at Vedantu and prepare well for your exams.

3. What is included in the exercise discussion in RD Sharma Class 12 Maths Solutions Chapter 30 Linear Programming Exercise 30.2?

The students need to practice every exercise of the Chapter 30 Linear Programming Class 12 RD Sharma. But exercise 30.2 is very crucial as it is full of concepts and great knowledge. The students also might face difficulty while doing this exercise, so the experts at Vedantu have designed the RD Sharma Class 12 Maths Solutions Chapter 30 Linear Programming Exercise 30.2. The following is the discussion of all the exercises in chapter 30 of Linear Programming:

  • Exercise 30.1 discusses questions about eating disorders, travel problems, complete product line problems, etc.

  • Activity 30.2 discusses questions about graphical solutions to consecutive system problems, point method, and ISO or ISO cost method.

  • Exercise 30.3 discusses questions on a variety of consecutive planning issues.

4. Where can I find RD Sharma Class 12 Maths Solutions Chapter 30 Linear Programming Exercise 30.2 online?

You can download RD Sharma Class 12 Maths Solutions Chapter 30 Linear Programming Exercise 30.2 through the Vedantu website. Solutions to all problems are constructed by subject specialists to give the students the best possible guidance. You can download both difficult chapters or use smart solutions and get a clear idea of ​​the problem-solving strategies used while answering book problems. Although there are hundreds of websites available online for downloading the study material, you can rely on the highly recommended website – Vedantu.

5. Is Vedantu a reliable website for downloading the RD Sharma Class 12 Maths Solutions Chapter 30 Linear Programming Exercise 30.2?

The linear programming problem is related to obtaining the total (maximum or minimum) function of a linear function for several variables (called objective function), provided that the variable is not negative and satisfies a set of line inequality. Flexibility is sometimes called decision variables and is non-negative. All the Exercise 30.2 Solutions from RD Sharma Class 12 Maths book is attached to the Vedantu website. The description of linear programming gives you a basic structure of what will you find in the pdf. Practice exercise 30.2 with a diligent attitude towards maths and you surpass your exams with full confidence.