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Linear Programming

Madhya Pradesh Board · Class 12 · Mathematics

Complete topic list for Linear Programming in Madhya Pradesh Board Class 12 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

95 questions56 flashcards5 concepts

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A comparison chart showing two graphs: one with a bounded feasible region and another with an unbounded feasible region, explaining the implications for optimal solutions.
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4 Topics · Madhya Pradesh Board Class 12 Mathematics

Topics in Linear Programming

1

1. Core idea and basic terms

  • An optimisation problem seeks maximum profit, minimum cost, or minimum use of resources.
  • A linear programming problem is a special type of optimisation problem.
  • The graphical method is used for problems with two decision variables.
2

2. Furniture dealer example

  • The dealer has Rs 50,000 to invest and storage space for at most 60 pieces.
  • A table costs Rs 2500 and gives a profit of Rs 250.
  • A chair costs Rs 500 and gives a profit of Rs 75.
3

3. Corner point method and theorems

  • The corner point method is used to solve linear programming problems graphically.
  • First find the feasible region and its corner points.
  • Then calculate the objective function at each corner point.
4

4. Worked examples from the chapter

  • Example 1 has a bounded feasible region and maximum value only.
  • Example 2 has a bounded feasible region and minimum value only.
  • Example 3 has a bounded feasible region with both minimum and maximum values.

Key Concepts

Central concept: Linear Programming Problem

Optimization problemObjective functionConstraintsFeasible regionCorner point methodTheorems on optimal valueSpecial casesHistorical note

Frequently Asked Questions

What are the important topics in Linear Programming for Madhya Pradesh Board Class 12 Mathematics?
Linear Programming covers several key topics that are frequently asked in Madhya Pradesh Board Class 12 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Linear Programming — Madhya Pradesh Board Class 12 Mathematics?
Understand the core concepts first, then work through the 95 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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All 15 chapters — Madhya Pradesh Board Class 12 Mathematics Syllabus

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