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Case Study on Linear Programming Class 12 Maths PDF

The passage-based questions are commonly known as case study questions. Students looking for Case Study on Linear Programming Class 12 Maths can use this page to download the PDF file. 

The case study questions on Linear Programming are based on the CBSE Class 12 Maths Syllabus, and therefore, referring to the Linear Programming case study questions enable students to gain the appropriate knowledge and prepare better for the Class 12 Maths board examination. Continue reading to know how should students answer it and why it is essential to solve it, etc.

Case Study on Linear Programming Class 12 Maths with Solutions in PDF

Our experts have also kept in mind the challenges students may face while solving the case study on Linear Programming, therefore, they prepared a set of solutions along with the case study questions on Linear Programming.

The case study on Linear Programming Class 12 Maths with solutions in PDF helps students tackle questions that appear confusing or difficult to answer. The answers to the Linear Programming case study questions are very easy to grasp from the PDF - download links are given on this page.

Why Solve Linear Programming Case Study Questions on Class 12 Maths?

There are three major reasons why one should solve Linear Programming case study questions on Class 12 Maths - all those major reasons are discussed below:

• To Prepare for the Board Examination: For many years CBSE board is asking case-based questions to the Class 12 Maths students, therefore, it is important to solve Linear Programming Case study questions as it will help better prepare for the Class 12 board exam preparation.
• Develop Problem-Solving Skills: Class 12 Maths Linear Programming case study questions require students to analyze a given situation, identify the key issues, and apply relevant concepts to find out a solution. This can help CBSE Class 12 students develop their problem-solving skills, which are essential for success in any profession rather than Class 12 board exam preparation.
• Understand Real-Life Applications: Several Linear Programming Class 12 Maths Case Study questions are linked with real-life applications, therefore, solving them enables students to gain the theoretical knowledge of Linear Programming as well as real-life implications of those learnings too.

How to Answer Case Study Questions on Linear Programming?

Students can choose their own way to answer Case Study on Linear Programming Class 12 Maths, however, we believe following these three steps would help a lot in answering Class 12 Maths Linear Programming Case Study questions.

• Read Question Properly: Many make mistakes in the first step which is not reading the questions properly, therefore, it is important to read the question properly and answer questions accordingly.
• Highlight Important Points Discussed in the Clause: While reading the paragraph, highlight the important points discussed as it will help you save your time and answer Linear Programming questions quickly.
• Go Through Each Question One-By-One: Ideally, going through each question gradually is advised so, that a sync between each question and the answer can be maintained. When you are solving Linear Programming Class 12 Maths case study questions make sure you are approaching each question in a step-wise manner.

What to Know to Solve Case Study Questions on Class 12 Linear Programming?

 A few essential things to know to solve Case Study Questions on Class 12 Linear Programming are -

• Basic Formulas of Linear Programming: One of the most important things to know to solve Case Study Questions on Class 12 Linear Programming is to learn about the basic formulas or revise them before solving the case-based questions on Linear Programming.
• To Think Analytically: Analytical thinkers have the ability to detect patterns and that is why it is an essential skill to learn to solve the CBSE Class 12 Maths Linear Programming case study questions.
• Strong Command of Calculations: Another important thing to do is to build a strong command of calculations especially, mental Maths calculations.

Where to Find Case Study on Linear Programming Class 12 Maths?

Use Selfstudys.com to find Case Study on Linear Programming Class 12 Maths. For ease, here is a step-wise procedure to download the Linear Programming Case Study for Class 12 Maths in PDF for free of cost.

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CBSE Case Study Questions for Class 12 Maths Linear Programming Free PDF

Mere Bacchon, you must practice the CBSE Case Study Questions Class 12 Maths Linear Programming  in order to fully complete your preparation . They are very very important from exam point of view. These tricky Case Study Based Questions can act as a villain in your heroic exams!

I have made sure the questions (along with the solutions) prepare you fully for the upcoming exams. To download the latest CBSE Case Study Questions , just click ‘ Download PDF ’.

CBSE Case Study Questions for Class 12 Maths Linear Programming PDF

Checkout our case study questions for other chapters.

• Chapter 9 Differential Equations Case Study Questions
• Chapter 10 Vector Algebra Case Study Questions
• Chapter 11 Three dimensional Geometry Case Study Questions
• Chapter 13 Probability Case Study Questions

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Class 12 Maths: Case Study of Chapter 12 Linear Programming PDF Download

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In Class 12 Boards there will be Case studies and Passage Based Questions will be asked, So practice these types of questions. Study Rate is always there to help you. Free PDF Download of CBSE Class 12 Mathematics Chapter 12 Linear Programming Case Study and Passage Based Questions with Answers were Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 12 Maths Linear Programming  to know their preparation level.

Join our Telegram Channel, there you will get various e-books for CBSE 2024 Boards exams for Class 9th, 10th, 11th, and 12th.

In CBSE Class 12 Maths Paper, There will be a few questions based on case studies and passage-based as well. In that, a paragraph will be given, and then the MCQ questions based on it will be asked.

Linear Programming Case Study Questions With answers

Here, we have provided case-based/passage-based questions for Class 12 Mathematics  Chapter 12 Linear Programming

Case Study/Passage-Based Questions

Case Study 1:

Corner points of the feasible region for an LPP are (0, 3), (5, 0), (6, 8), (0, 8). Let Z = 4x – 6y be the objective function. Based on the above information, answer the following questions. (i) The minimum value of Z occurs at

Answer: (d) (0,8)

(ii) Maximum value of Z occurs at

Answer: (a) (5,0)

(iii) Maximum of Z – Minimumof Z =

Answer: (b) 68

Answer: (c) (0,0), (3, 0), (3, 2), (2,3), (0, 3)

(v) The feasible solution of LPP belongs to

Answer: (d) only first quadrant

Hope the information shed above regarding Case Study and Passage Based Questions for Class 12 Maths Chapter 12 Linear Programming with Answers Pdf free download has been useful to an extent. If you have any other queries about CBSE Class 12 Mathematics Linear Programming Case Study and Passage Based Questions with Answers, feel free to comment below so that we can revert back to us at the earliest possible. By Team Study Rate

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CBSE 12th Standard Maths Subject Linear Programming Case Study Questions With Solution 2021

CBSE 12th Standard Maths Subject Linear Programming Case Study Questions With Solution 2021 Shalini Sharma - Udaipur May-21 , 2021

QB365 Provides the updated CASE Study Questions for Class 12 Maths, and also provide the detail solution for each and every case study questions . Case study questions are latest updated question pattern from NCERT, QB365 will helps to get  more marks in Exams

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Cbse 12th standard maths linear programming case study questions with solution 2021.

Final Semester - June 2015

Case Study Questions

Linear programming is a method for finding the optimal values (maximum or minimum) of quantities subject to the constraints when relationship is expressed as linear equations or inequations. Based on the above information, answer the following questions. (i) The optimal value of the objective function is attained at the points

(ii) The graph of the inequality 3x + 4y < 12 is

(iv) The corner points of the feasible region determined by the system of linear constraints are (0, 10), (5, 5), (15, 15), (0, 20). Let Z = px + qy, where p, q > 0. Condition on p and q so that the maximum of Z occurs at both the points (15, 15) and (0, 20) is

(v)  The corner points of the feasible region determined by the system of linear constraints are (0, 0), (0, 40), (20,40), (60,20), (60, 0). The objective function is Z = 4x + 3y. Compare the quantity in Column A and Column B

(ii) The corner points of the feasible region shown in above graph are

(iii) If Z = x + y be the objective function and max Z = 30. The maximum value occurs at point

(iv) If Z = 6x - 9y be the objective function, then maximum value of Z is

(v) If Z = 6x + 3y be the objective function, then what is the minimum value of Z?

Corner points of the feasible region for an LPP are (0, 3), (5, 0), (6, 8), (0, 8). Let Z = 4x - 6y be the objective function. Based on the above information, answer the following questions. (i) The minimum value of Z occurs at

(ii) Maximum value of Z occurs at

(iii) Maximum of Z - Minimumof Z =

(v) The feasible solution of LPP belongs to

(ii) Let the constraints in the given problem is represented by the following inequalities x + y ≤ 20 360x + 240y ≤ 5760 x, y ≥ 0 Then which of the following point lie in its feasible region.

(iii) If the objective function of the given problem is maximise z = 22x + 18y, then its optimal value occur at

(iv) Suppose the following shaded region APDO, represent the feasible region corresponding to mathematical formulation. of given problem. Then which of the following represent the coordinates of one of its corner points.

Let R be the feasible region (convex polygon) for a linear programming problem and let Z = ax + by be the objective function. When Z has an optimal value (maximum or minimum), where the variables x and y are subject to, constraints described by linear inequalities, this optimal value must occur at a corner point (vertex) of the feasible region. Based on the above information, answer the following questions. (i) Objective function of a L.P.P. is

(ii) Which of the following statement is correct?

(iii) In solving the LPP : "minimize f = 6x + 10y subject to constraints x ≥  6, Y ≥ 2, 2x + y  ≥ 10,x  ≥ 0,y ≥ 0" redundant constraints are

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Chapter 12 Class 12 Linear Programming

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Updated according to new NCERT - 2024-25 NCERT Books.

Learn Chapter 12 Linear Programming of Class 12, free with solutions of all NCERT Questions, Examples. Ideal for your CBSE Board Exams.

In Chapter 6 Class 11 , Linear Inequalities, we learned how to make a graph of equations with Inequalities.

In this chapter, we will use the same methods, and also learn how to form equations and then solve.

Here, we will try to find the minimum or maximum value of an equation within a given set of conditions.

For example: Maximise profit, if Number of hours worked < 10, etc.

These type of problems, where we need to find minimum or maximum values, based on some conditions are known as Optimization Problems . A sub-part of these optimization problems are Linear Programming Problems... 

which we will study in this chapter.

The topics in this chapter include:

• Finding minimum or maximum value of Z (known as objective function), using constraints - We use corner point method , and the basics which we learned in Linear Equality Chapter of Class 11. 
• Handing cases where region is not feasible or unbounded .
• In the previous topic, the equation is already given to us. But, we also need to create the equations, and then solve. We cover different types of problems like Diet, Manufacturing, Transport and Other Problems . In these questions, we first make the equations, and then find minimum or maximum value of Z.

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