7.3 - Graphical 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
What is the objective function in the sweets shop example?
💡 Hint: Think about how much profit each sweet generates.
Define feasible region in the context of linear programming.
💡 Hint: Where do all the constraints overlap?
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the primary goal of linear programming?
💡 Hint: Consider what we want to achieve in optimization.
True or False: The Simplex Algorithm guarantees finding the optimal solution at non-vertex points.
💡 Hint: Look at where the constraints intersect.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Given the constraints of a sweets shop 'b ≤ 200', 'h ≤ 300', and 'b + h ≤ 400', graph the feasible region and explain its shape.
💡 Hint: Plot each line carefully and identify intersections to visualize your region.
If you add a new product, say almond rasmalai, with a profit of 1300 per box and only limited by milk constraints, how would you redefine your problem in terms of variables and constraints?
💡 Hint: Consider how much milk each type of sweet needs when formulating your new limits.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.
- Linear Programming Overview - Wikipedia
- Introduction to the Simplex Method - Khan Academy
- Understanding Linear Programming - Coursera
- Feasible Regions in Linear Programming - Math is Fun
- Interactive Linear Programming - GeoGebra
- Linear Programming - MIT OpenCourseWare
- Graphical Method in Linear Programming - Coursera