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Formula Sheet

Linear Programming — Formula Sheet

Madhya Pradesh Board · Class 12 · Mathematics

12 formulas from Linear Programming (Madhya Pradesh Board Class 12 Mathematics) on one page, grouped by topic.

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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12 Entries · 4 Sections

Formulas and Key Relations

1. Core Ideas and Definitions

Z = ax + by

5x + y ≤ 100

x + y ≤ 60

x ≥ 0, y ≥ 0

2. Theorems and Corner Point Method

Unbounded-region maximum check: M is the maximum value of Z, if the open half plane determined by ax + by > M has no point in common with the feasible

Unbounded-region minimum check: m is the minimum value of Z, if the open half plane determined by ax + by < m has no point in common with the feasible

3. Solved Examples and Final Answers

Z = 4x + y

Z = 200x + 500y

Z = 3x + 9y

Z = -50x + 20y

Investment constraint

2500x + 500y ≤ 50000.

Simplified investment constraint

5x + y ≤ 100.

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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 many formulas are in Linear Programming?
This sheet lists 12 formulas from Linear Programming, grouped by topic. Learn what each symbol stands for so you can apply the formula, not just recall it.
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 Formula Sheet

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