6.2.3 - Duality in Linear Programming
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Practice Questions
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What is duality in linear programming?
💡 Hint: Think about how problems can have corresponding counterparts.
What does the weak duality theorem state?
💡 Hint: It's about establishing a boundary between primal and dual values.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the relationship between a primal and its dual problem?
💡 Hint: Think about how the primal gives insights into the dual.
True or False: The strong duality theorem guarantees that if you know the dual solution, you can find the primal.
💡 Hint: Consider what duality means for problem-solving relationships.
1 more question available
Challenge Problems
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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.
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.
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