Practice Standard Form of LPP - 10.6.3 | Chapter 10: Linear Programming | ICSE Class 12 Mathematics
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What are decision variables in an LPP?

πŸ’‘ Hint: Think about what you need to find.

Question 2

Easy

What must the decision variables satisfy in an LPP?

πŸ’‘ Hint: Consider real-world scenarios.

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 primary purpose of the objective function in LPP?

  • To define decision variables
  • To state constraints
  • To maximize or minimize a value

πŸ’‘ Hint: Consider what needs to be achieved.

Question 2

Is it true that all decision variables in LPP must be non-negative?

  • True
  • False

πŸ’‘ Hint: Think about the implications of negative values.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A furniture company produces tables and chairs. The profit from each table is $50 and each chair is $30. The company has the following constraints: 2 tables and 3 chairs must not exceed the resources available of 120 hours, and 1 table plus 1 chair must not exceed 60 hours. Formulate the LPP in standard form.

πŸ’‘ Hint: Identify decision variables and clearly outline your objective and constraints.

Question 2

A delivery company can transport up to 200 packages in a week with two types: small packages weighing 5 kg and large packages weighing 10 kg. They want to maximize the number of small packages delivered while adhering to the weight limit of 1000 kg. Create the LPP in standard form.

πŸ’‘ Hint: Think about weight limits when defining constraints.

Challenge and get performance evaluation