10.5.4 - Find the Feasible Region
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
What is a feasible region in linear programming?
💡 Hint: Think about how constraints limit the options available.
Can an optimal solution exist outside the feasible region?
💡 Hint: Consider what it means to 'violate' a constraint.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does the feasible region represent in linear programming?
💡 Hint: Recall what lines of inequalities define.
True or False: The optimal solution to a linear programming problem can lie anywhere in the feasible region.
💡 Hint: Consider the behavior of linear functions in geometry.
1 more question available
Challenge Problems
Push your limits with advanced challenges
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.
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.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.