Practice Summary (10.8) - Linear Programming - ICSE 12 Mathematics

Practice: Summary

Lesson 10.8Linear Programming

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8 questions

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2 cards from this section. Quick, good the night before a test.
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6 questions · about 4 min · pass mark 70%. Hints available.
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2 questions · about 1 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Define Linear Programming in your own words.
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Think about making the best use of limited resources.
Question 2.
What is an objective function?
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It's what we focus on optimizing.
3Question 3.
What does Linear Programming primarily deal with?
- Cost minimization
- Maximization of profits
- Both A & B
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Think about the dual nature of LP objectives.
4Question 4.
True or False: The graphical method is applicable for problems involving more than two variables.
- True
- False
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What happens when we add another variable?
Question 5.
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.
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Identify each product's resource use and profit contribution.
Question 6.
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.
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Think about balancing costs with necessary nutrients.

4 more questions in this section. Enroll free to practise them all.