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3 cards from this section. Quick, good the night before a test.
Define the term 'feasible region' in linear programming.
Think about which area on the graph allows for all constraints to be true.
What is the main goal of linear programming?
What do we seek to optimize in these problems?
What is the purpose of the graphical method in linear programming?
Remember, the goal is to optimize the function!
In a linear programming problem, the feasible region is the area where...
Think about where all conditions must hold.
You are given a linear programming problem with the constraints 2x + 3y <= 12 and x + y <= 5. Graph these constraints, find the feasible region, and determine the optimal solution if Z = 5x + 4y.
Remember to check each constraint at the points you evaluate.
A farmer wants to maximize the production of two crops, corn and wheat, with available land represented by the constraints X + 2Y ≤ 20 and 3X + Y ≤ 30. Determine the optimal crop mix using the graphical method.
Maximize the objective function at the vertices of the feasible region you've plotted.
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