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Linear Programming — Study Plan

Madhya Pradesh Board · Class 12 · Mathematics

A step-by-step study plan for Linear Programming, Madhya Pradesh Board Class 12 Mathematics: what to learn first, what to practise and when to revise.

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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Study Plan

1
Day 1–2

Learn the Theory

Read the textbook chapter carefully. Note down definitions, formulas and key ideas. Focus on: 1. Core idea and basic terms, 2. Furniture dealer example, 3. Corner point method and theorems.

2
Day 3

Practise

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

3
Day 4

Revise & Test

Revise key points without looking at your notes. Take a practice quiz and mark weak areas for another pass.

4
Day 7

Spaced Revision

Come back to Linear Programming after a week. Use flashcards for quick recall and try past exam questions on 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?
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.

More resources for Linear Programming

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