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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is duality in linear programming?
💡 Hint: Think about how problems can have corresponding counterparts.
Question 2
Easy
What does the weak duality theorem state?
💡 Hint: It's about establishing a boundary between primal and dual values.
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 relationship between a primal and its dual problem?
- They are unrelated
- They reflect the same constraints
- They represent different objectives
💡 Hint: Think about how the primal gives insights into the dual.
Question 2
True or False: The strong duality theorem guarantees that if you know the dual solution, you can find the primal.
- True
- False
💡 Hint: Consider what duality means for problem-solving relationships.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A manufacturing company produces two products with given constraints. Formulate the primal and dual problems. Explain the relationship.
💡 Hint: Use the coefficients and constraints from the primal to derive the dual.
Question 2
Provide a real-world scenario where both dual and primal solutions are necessary for decision making.
💡 Hint: Look for contexts where timing and budget are crucial.
Challenge and get performance evaluation