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5 cards from this section. Quick, good the night before a test.
Define linear programming.
What does 'linear' refer to in this context?
What is an objective function?
It represents the goal of our optimization problem.
What is the primary goal of linear programming?
Remember what 'linear programming' involves in its name.
True or False: The feasible region can be empty if constraints are too strict.
Consider the implications of constraints on solutions.
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.
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.
Use graphing techniques and understand how inequalities create boundaries.
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