7.1 - Introduction to Linear Programming
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Practice Questions
Test your understanding with targeted questions
Define linear programming.
💡 Hint: What does 'linear' refer to in this context?
What is an objective function?
💡 Hint: It represents the goal of our optimization problem.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the primary goal of linear programming?
💡 Hint: Remember what 'linear programming' involves in its name.
True or False: The feasible region can be empty if constraints are too strict.
💡 Hint: Consider the implications of constraints on solutions.
1 more question available
Challenge Problems
Push your limits with advanced challenges
A factory produces three products: A, B, and C. Product A nets $500, B nets $300, and C nets $400. There are producing limits due to material constraints. Formulate a linear programming model to maximize profits.
💡 Hint: Follow the step-by-step formulation discussed in class.
Given constraints A + 2B ≤ 20, 3C + 2A ≤ 30, and A, B, C ≥ 0, graph the inequalities and find the feasible region.
💡 Hint: Use graphing techniques and understand how inequalities create boundaries.
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