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Linear Programming

Madhya Pradesh Board · Class 12 · Mathematics

Step-by-step guide to study Linear Programming in Madhya Pradesh Board Class 12 Mathematics. Topics to cover, practice strategy, and time allocation.

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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Study Plan

1
Day 1–2

Learn the Theory

Read the textbook chapter carefully. Note down definitions, formulas, and key concepts.

2
Day 3

Practice Problems

Solve textbook exercises and additional practice questions. There are 95 questions available for this chapter.

3
Day 4

Revise & Test

Revise key formulas and concepts without looking at notes. Take a practice quiz to test your understanding. Mark weak areas for re-revision.

4
Day 7

Spaced Revision

Revisit Linear Programming after a week. Use flashcards for quick recall. Solve previous year questions from this chapter.

What to Focus On

  • Linear programming problem is a special type of optimisation problem.
  • Objective function is a linear function of the form Z = ax + by.
  • Constraints are linear inequalities or equations.

  • x = number of tables, y = number of chairs.
  • Investment constraint: 2500x + 500y ≤ 50000.
  • Simplified investment constraint: 5x + y ≤ 100.

  • Feasible region consists of points satisfying all constraints.
  • Infeasible region is the region other than the feasible region.
  • A corner point is the intersection of two boundary lines.

Common Mistakes to Avoid

The corner point with the smallest or largest objective value is always the minimum or maximum, even when the feasible region is unbounded.

If two corner points give the same optimal value, only those two points are optimal solutions.

Any point that satisfies one or two constraints is a feasible solution.

Memory Tips

Linear programming problem

Objective function

Constraints

Decision variables x and y

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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.

More resources for Linear Programming

All 15 chapters — Madhya Pradesh Board Class 12 Mathematics Study Plan

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