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2 cards from this section. Quick, good the night before a test.
What is the objective function in a linear programming problem?
Think about what we are trying to achieve with the variables.
Define the term 'constraints'.
Consider what restrictions we may have in solving the problem.
What is the purpose of an objective function in linear programming?
Think about what the main goal of the problem is.
Constraints in linear programming are necessary for creating a __________.
What do constraints help define in a graph?
A factory produces two products A and B. Product A requires 3 hours of labor and 2 kg of material. Product B requires 1 hour of labor and 4 kg of material. If the factory has 60 hours of labor and 40 kg of material, and the profit from the products is $10 for A and $6 for B, formulate the linear programming problem and find the optimal production quantities.
Sketch the constraints on a graph to find feasible points.
In a diet problem, a student wants to minimize the cost of buying food while meeting nutritional requirements. If food X costs $2 and provides 3 protein units, and food Y costs $3 and provides 2 protein units, and the student needs at least 12 protein units. Formulate this as a linear programming problem.
Identify constraints based on the minimum protein requirements.
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