7.5 - Simplex Algorithm Overview
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Practice Questions
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Define linear programming in your words.
💡 Hint: Think about the context of maximizing profits or minimizing costs.
What happens at the vertices of the feasible region?
💡 Hint: Consider how the simplex algorithm operates.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the main purpose of the simplex algorithm?
💡 Hint: Revisit the definition of the simplex algorithm.
True or False: A feasible region can be unbounded.
💡 Hint: Think about what happens when constraints allow for infinite possibilities.
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Challenge Problems
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Consider a factory producing two products. Product A requires 2 hours of labor per unit, and Product B requires 3 hours. There are 100 hours available. Product A gives a profit of $4 per unit, while Product B gives $5. Formulate a linear programming problem.
💡 Hint: Identify variables and state the relationships using inequalities.
Create a scenario where multiple constraints affect profit maximization in a linear programming problem with the potential for unbounded solutions.
💡 Hint: Think of variables that may affect delivery while considering a budget.
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