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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define the term objective function.
💡 Hint: Focus on the goal of the linear programming problem.
Question 2
Easy
What is a feasible region?
💡 Hint: Think about the graphical area on the plot.
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 does the objective function in linear programming aim to do?
- Maximize profit
- Minimize costs
- Both
💡 Hint: Think about the different goals in linear programming problems.
Question 2
True or False: The optimal solution in linear programming always lies within the interior of the feasible region.
- True
- False
💡 Hint: Remember the vertex theorem.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Consider an LP problem with constraints: 4x + 2y ≤ 16, x + y ≤ 7. If the objective function is Z = 2x + 3y, find the optimal solution graphically.
💡 Hint: Focus on evaluating the objective function at each vertex.
Question 2
If the constraints change to x + 2y ≤ 10, 2x + y ≤ 10, how does this affect the optimal solution compared to the previous constraints?
💡 Hint: Be aware of how changing constraints can alter the feasible region.
Challenge and get performance evaluation