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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is a feasible region in linear programming?
💡 Hint: Think about how constraints limit the options available.
Question 2
Easy
Can an optimal solution exist outside the feasible region?
💡 Hint: Consider what it means to 'violate' a constraint.
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 feasible region represent in linear programming?
- All possible solutions
- Only maximized points
- Only minimized points
💡 Hint: Recall what lines of inequalities define.
Question 2
True or False: The optimal solution to a linear programming problem can lie anywhere in the feasible region.
- True
- False
💡 Hint: Consider the behavior of linear functions in geometry.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the constraints 3x + 4y <= 12 and x + 2y <= 6, graph the region and calculate the optimal values of the objective function z = 2x + 3y.
💡 Hint: Ensure all lines are graphed correctly to visualize intersections.
Question 2
A production facility has limitations represented by x + 3y <= 15 and 4x + 3y <= 24. Determine the feasible region and the points of intersection.
💡 Hint: Carefully check the slopes of your constraints to find accurate intersection points.
Challenge and get performance evaluation