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Syllabus

Linear Programming — Syllabus

Madhya Pradesh Board · Class 12 · Mathematics

What Linear Programming covers in Madhya Pradesh Board Class 12 Mathematics: 4 topics, for the 2026-27 session.

95 questions56 flashcards12 formulas & key relations5 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 · 2026-27

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

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Frequently Asked Questions

What are the important topics in Linear Programming for Madhya Pradesh Board Class 12 Mathematics?
Key topics in Linear Programming include Core idea and basic terms, Furniture dealer example, Corner point method and theorems, Worked examples from the chapter. Study these first, then practise questions on each for the Madhya Pradesh Board Class 12 board exam.
How should I revise Linear Programming for the Madhya Pradesh Board Class 12 board exam?
Learn the core ideas first, then work through the 95 practice questions on Linear Programming. Revise 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 Madhya Pradesh Board Class 12 Mathematics Syllabus

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