Practice Types of Linear Programming Problems - 10.6 | 10. Linear Programming | ICSE Class 12 Mathematics
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10.6 - Types of Linear Programming Problems

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define a maximization problem with an example.

💡 Hint: Think about profit, output, and sales.

Question 2

Easy

What does a minimization problem focus on?

💡 Hint: Consider company expenses and costs.

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 is the main goal of a maximization problem?

  • A. Minimizing costs
  • B. Maximizing profits
  • C. Defining variables

💡 Hint: Think about business goals!

Question 2

True or False: All linear programming problems must have non-negative decision variables.

  • True
  • False

💡 Hint: Consider the conditions of these variables.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Consider a bakery that produces cakes and cookies. They make a profit of $5 per cake and $2 per cookie. Given constraints of 100 units of flour and 80 units of sugar for production, formulate a maximization problem to determine how many cakes and cookies should be produced.

💡 Hint: Identify your constraints carefully!

Question 2

A transportation company wishes to minimize its shipping costs along two routes, which cost $300 and $450 respectively. They have constraints in terms of delivery capacity of 5 and 3 vehicles. Formulate the problem and solve for the minimum cost.

💡 Hint: Consider how each variable represents costs and how to minimize!

Challenge and get performance evaluation