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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define the term 'feasible region' in linear programming.
💡 Hint: Think about which area on the graph allows for all constraints to be true.
Question 2
Easy
What is the main goal of linear programming?
💡 Hint: What do we seek to optimize in these problems?
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 is the purpose of the graphical method in linear programming?
- To find feasible solutions
- To identify the optimal solution
- To create constraints
💡 Hint: Remember, the goal is to optimize the function!
Question 2
In a linear programming problem, the feasible region is the area where...
- True
- False
💡 Hint: Think about where all conditions must hold.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation