10.4.1 - Graphical Method
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Practice Questions
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Define the term 'feasible region' in linear programming.
💡 Hint: Think about which area on the graph allows for all constraints to be true.
What is the main goal of linear programming?
💡 Hint: What do we seek to optimize in these problems?
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Interactive Quizzes
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What is the purpose of the graphical method in linear programming?
💡 Hint: Remember, the goal is to optimize the function!
In a linear programming problem, the feasible region is the area where...
💡 Hint: Think about where all conditions must hold.
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Challenge Problems
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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.
💡 Hint: 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.
💡 Hint: Maximize the objective function at the vertices of the feasible region you've plotted.
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