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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What do you plot first when graphing constraints?
💡 Hint: Think about what represents the constraints visually.
Question 2
Easy
Is the feasible region always below the constraints?
💡 Hint: Consider the inequality symbols for clarity.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What defines the feasible region in linear programming?
- The area outside all constraints
- The area inside the constraint lines
- The area where some constraints are satisfied
💡 Hint: Think about where you would find solutions that meet all conditions.
Question 2
True or False: The optimal solution will always be at a midpoint between two constraints.
- True
- False
💡 Hint: Consider the vertex theorem we discussed.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation