Mathematics · a topic
Linear programming, Taught not just answered.
A real-time, 1:1 lesson on Linear programming: an AI teacher explains it out loud while it visualizes every step. Interrupt it, ask why, and it checks you got it, in 26 languages.
The idea
What is Linear programming?
Linear programming is a method for finding the largest or smallest value of a linear objective, such as profit or cost, when the variables are limited by linear constraints like material, labour or time. Each constraint is an inequality that shades a half-plane, and the overlap of all of them forms the feasible region, a convex polygon. The optimum always sits at a corner of that region, so you can solve two-variable problems graphically by testing the vertices, and larger problems with the simplex algorithm.
Where it appears: Class 12 CBSE, A-level Decision Maths, IB Mathematics AI, operations research in management and engineering degrees.
Where learners get stuck
Why Linear programming is hard
Translating a word problem into variables, objective and inequalities is the sticking point, and learners shade the wrong side of a constraint line or test interior points instead of corners.
The picture a good explanation starts with: Axes with three constraint lines drawn, the feasible polygon shaded, its corner points marked, and a dashed objective line sliding outward until it last touches a vertex.
A lesson, step by step
How a lesson on Linear programming goes
01
Ask
Type or say "Why is the optimum always at a corner point?" in your own words, in any of 26 languages.
02
Plan
The tutor plans a storyboard, one picture per idea, starting with axes with three constraint lines drawn, the feasible polygon shaded, its corner points marked, and a dashed objective line sliding outward until it last touches a vertex.
03
Explain
It explains Linear programming out loud while the picture builds step by step, pitched to your level (Class 12 CBSE and up).
04
Interrupt
Say "wait, why?" or type a doubt: it stops, answers over the picture, and carries on. Ask for a different explanation any time.
05
Check
A checkpoint question makes sure the idea landed, and Tests keep the practice going.
06
Your notes
Upload a PDF or a photo of your class notes or a past paper and the lesson follows your textbook's terms.
Ask it anything
Questions learners ask about Linear programming
- Why is the optimum always at a corner point?
- How do I turn a word problem into constraints?
- What happens if the feasible region is unbounded?
Any of these, or your own, typed or spoken. The tutor answers on the picture and adapts to how well you are following.
Questions
Asked, Answered
Can LetMeTeach explain Linear programming?
Yes. Ask in your own words and the tutor plans a lesson on Linear programming: it starts with axes with three constraint lines drawn, the feasible polygon shaded, its corner points marked, and a dashed objective line sliding outward until it last touches a vertex. Then it explains each step out loud as the picture builds, stops when you say "wait, why?", and ends with a checkpoint question.
Where does Linear programming come up?
Class 12 CBSE, A-level Decision Maths, IB Mathematics AI, operations research in management and engineering degrees. The lesson is pitched to your level and the exam or curriculum you follow, and you can upload your own notes or past papers so it uses your textbook's terms.
Can I learn Linear programming in my own language?
Yes. LetMeTeach teaches in 26 languages and plans the lesson in the language you choose rather than translating an English one, so the terms match what your textbook says. The Free plan includes 7 hours a month with no card.
Last updated
Learn Linear programming, Starting now.
Ask "Why is the optimum always at a corner point?" and watch the answer drawn. The Free plan needs no card.