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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the purpose of linear programming?
💡 Hint: Think about optimization in terms of resources.
Question 2
Easy
Define a bipartite graph in simple terms.
💡 Hint: Consider how people and jobs might be matched.
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 linear programming primarily used for?
- Maximizing profits
- Finding shortest paths
- Simulating network traffic
💡 Hint: Think about business applications.
Question 2
True or False: A bipartite graph can have edges connecting vertices within the same set.
- True
- False
💡 Hint: Visualize the structure of bipartite graphs.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given 5 teachers and 4 courses, design a flow network to illustrate maximum matching. Consider some teachers have preferences for more than one course.
💡 Hint: Think about how to ensure the flow meets the allocation constraints.
Question 2
If a new constraint is added where teachers can teach a maximum of two courses, re-evaluate the original matching model and discuss the implications on the network flow.
💡 Hint: Consider how this relaxation of constraints alters the network structure.
Challenge and get performance evaluation