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

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Learning

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 optimization in business or resource allocation.

Question 2

Easy

What are the users in our bandwidth problem?

💡 Hint: Recall the three users we discussed.

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 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.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation