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Formula Sheet

Linear Programming

Madhya Pradesh Board · Class 12 · Mathematics

All formulas from Linear Programming in Madhya Pradesh Board Class 12 Mathematics. Key equations, constants, and identities for board exam preparation.

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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12 Formulas · 3 Sections

Formulas

1. Core Ideas and Definitions

Z = ax + by

5x + y ≤ 100

x + y ≤ 60

x ≥ 0, y ≥ 0

2. Theorems and Corner Point Method

Z = ax + by

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

Z = 3x + 2y

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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.

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