11.2.1 - Linear Programming
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
What is the purpose of linear programming?
💡 Hint: Think about optimization in terms of resources.
Define a bipartite graph in simple terms.
💡 Hint: Consider how people and jobs might be matched.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is linear programming primarily used for?
💡 Hint: Think about business applications.
True or False: A bipartite graph can have edges connecting vertices within the same set.
💡 Hint: Visualize the structure of bipartite graphs.
1 more question available
Challenge Problems
Push your limits with advanced challenges
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.
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.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.