7.8 - Three-Dimensional Geometrical Representation
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
Define linear programming in your own words.
💡 Hint: Think about how businesses optimize profits.
What is a feasible region in linear programming?
💡 Hint: Consider a geometric space that fits the conditions set by inequalities.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the main goal of linear programming?
💡 Hint: Consider what you aim to achieve in optimization problems.
True or False: The feasible region is always a convex shape.
💡 Hint: Visualize two points inside the region connecting with a line.
1 more question available
Challenge Problems
Push your limits with advanced challenges
A company produces three types of gadgets, A, B, and C, with profits of 50, 100, and 200 respectively. Each type has its production limits and constraints. Form the linear programming model and identify your optimal production strategy.
💡 Hint: Focus on defining constraints clearly for material usage.
A farmer has three types of crops with limited land and resources. Describe how to represent this scenario through a three-dimensional model. What optimization problems could arise?
💡 Hint: Think about resources as boundaries when planting.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.