Practice Summary - 10.8 | 10. Linear Programming | ICSE 12 Mathematics
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Summary

10.8 - Summary

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Practice Questions

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Question 1 Easy

Define Linear Programming in your own words.

💡 Hint: Think about making the best use of limited resources.

Question 2 Easy

What is an objective function?

💡 Hint: It's what we focus on optimizing.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does Linear Programming primarily deal with?

Cost minimization
Maximization of profits
Both A & B

💡 Hint: Think about the dual nature of LP objectives.

Question 2

True or False: The graphical method is applicable for problems involving more than two variables.

True
False

💡 Hint: What happens when we add another variable?

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Challenge Problems

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Challenge 1 Hard

A factory produces two types of products. Each product requires different amounts of labor and raw materials, with specific profit margins. Formulate an LP problem to maximize profits given the resource constraints. Outline decision variables, the objective function, and constraints.

💡 Hint: Identify each product's resource use and profit contribution.

Challenge 2 Hard

You are running a diet planning business. Formulate an LP problem to minimize cost while meeting nutritional requirements. Identify decision variables, the objective function, and constraints.

💡 Hint: Think about balancing costs with necessary nutrients.

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