Practice Standard Form of LPP - 10.6.3 | 10. Linear Programming | ICSE 12 Mathematics
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Standard Form of LPP

10.6.3 - Standard Form of LPP

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What are decision variables in an LPP?

💡 Hint: Think about what you need to find.

Question 2 Easy

What must the decision variables satisfy in an LPP?

💡 Hint: Consider real-world scenarios.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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

💡 Hint: Consider what needs to be achieved.

Question 2

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

True
False

💡 Hint: Think about the implications of negative values.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

💡 Hint: Identify decision variables and clearly outline your objective and constraints.

Challenge 2 Hard

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.

💡 Hint: Think about weight limits when defining constraints.

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