Practice Summary - 10.8 | Chapter 10: Linear Programming | ICSE Class 12 Mathematics
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10.8 - Summary

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Practice Questions

Test your understanding with targeted questions related to the topic.

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.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

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?

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation