NCERT Solutions · Class 12

NCERT Solutions for Class 12 Maths Chapter 12 Linear Programming — Exercise 12.1

Step-by-step NCERT Solutions for Class 12 Maths Chapter 12 (Linear Programming), Exercise 12.1. 10 questions with answers — read online free on NCERT Help.

Maths Chapter 12 Exercise 12.1 10 questions
ClassClass 12
SubjectMaths
ChapterChapter 12 — Linear Programming
ExerciseExercise 12.1
Questions solved10

Exercises in this chapter

Questions & step-by-step answers

Solve the following Linear Programming Problems graphically:

ncert class 12 maths chapter 12 Linear Programming

Question 1:Maximise Z = 3x + 4y subject to the constraints : x + y 4, x 0, y 0.

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Question 2:Minimise Z = – 3x + 4 y subject to x + 2y 8, 3x + 2y 12, x 0, y 0.

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Question 3:Maximise Z = 5x + 3y subject to 3x + 5y 15, 5x + 2y 10, x 0, y 0.

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Question 4:Minimise Z = 3x + 5y such that x + 3y 3, x + y 2, x, y 0.

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Question 5:Maximise Z = 3x + 2y subject to x + 2y 10, 3x + y 15, x, y 0.

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Question 6:Minimise Z = x + 2y subject to 2x + y 3, x + 2y 6, x, y 0. Show that the minimum of Z occurs at more than two points.

Class 12 Maths NCERT Solutions Chapter 12 Linear Programming Exercise 12.1

Question 7:Minimise and Maximise Z = 5x + 10 y subject to x + 2y 120, x + y 60, x – 2y 0, x, y 0.

Exercise 12.1 class 12 Math ncert solutions Chapter 12

Question 8:Minimise and Maximise Z = x + 2y subject to x + 2y 100, 2x – y 0, 2x + y 200; x, y 0.

Solve the following Linear Programming Problems gr

Question 9:Maximise Z = – x + 2y, subject to the constraints: x 3, x + y 5, x + 2y 6, y 0.

Question 10:Maximise Z = x + y, subject to x – y –1, –x + y 0, x, y 0.

About this exercise

ex.12.1 Class 12 Math Chapter 12 ncert solutions

Frequently asked questions

Where can I read NCERT Solutions for Class 12 Maths Exercise 12.1?

You can read step-by-step NCERT Solutions for Class 12 Maths Chapter 12 Exercise 12.1 online on NCERT Help at this page — no download required.

How many questions are solved in Exercise 12.1?

This page includes 10 NCERT textbook questions with detailed answers.

What are the other exercises in this chapter?

Browse all exercises for Class 12 Maths Chapter 12 using the exercise switcher on this page or the full chapter list on the subject hub.