Practice Setting Up Linear Programming Variables - 9.3 | 9. Introduction to the Problem | Design & Analysis of Algorithms - Vol 3
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Setting Up Linear Programming Variables

9.3 - Setting Up Linear Programming Variables

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define linear programming in your own words.

💡 Hint: Think about optimization in business or resource allocation.

Question 2 Easy

What are the users in our bandwidth problem?

💡 Hint: Recall the three users we discussed.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the primary goal of linear programming?

To minimize complications
To maximize an objective function
To reduce variables

💡 Hint: Think about why we set up these problems.

Question 2

True or False: Each variable in our linear programming must be a negative number.

True
False

💡 Hint: Consider the context of physical quantities like bandwidth.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

If the total capacity from user A to user B is 12 Mbps, write the corresponding constraint for x_A_B and y_A_B given that the minimum requirement is 2 Mbps.

💡 Hint: Combine the minimum overflow and maximum capacity into one equation.

Challenge 2 Hard

Evaluate how to adjust the objective function if the revenue rates change to 500 for A-C instead of 400.

💡 Hint: Think about how changes in revenue rates impact our maximization goal.

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Reference links

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