10.5.2 - Graph the Constraints
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Practice Questions
Test your understanding with targeted questions
What do you plot first when graphing constraints?
💡 Hint: Think about what represents the constraints visually.
Is the feasible region always below the constraints?
💡 Hint: Consider the inequality symbols for clarity.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What defines the feasible region in linear programming?
💡 Hint: Think about where you would find solutions that meet all conditions.
True or False: The optimal solution will always be at a midpoint between two constraints.
💡 Hint: Consider the vertex theorem we discussed.
1 more question available
Challenge Problems
Push your limits with advanced challenges
You have the constraints x + y ≤ 10, y ≤ 8, and x ≥ 0. Graph these constraints and identify the feasible region. Then, maximize the objective function Z = 2x + 3y.
💡 Hint: Evaluate Z at each vertex of the feasible region.
For the constraints 3x + 4y ≤ 24 and x ≥ 0, y ≥ 0, how would you find and demonstrate the optimal value of the function Z = 5x + 7y using graphical methods?
💡 Hint: Be prepared to check each vertex's impact on Z.
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