Linear Programming

Learn about linear programming in this free video math tutorial by Mario's Math Tutoring.

00:00 Intro
0:14 Example 1 Linear Programming Word Problem
1:00 Writing Optimization Equation
1:30 Writing Constraint Inequalities
2:25 Graphing the Feasible Region that Satisfies the Constraints
6:13 Testing the Vertices of the Feasible Region in Optimization Eq.
7:33 Summarizing the Process to Solve Linear Programming Problems

Related Videos:

Graphing Systems of Inequalities

Substition Method for Solving Systems of Linear Equations

Elimination Method for Solving Systems of Linear Equations

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[phremg]

mario i tell ya i really appreciate having you indirectly in my life to teach me the things my teacher fails to do on a daily basis

[newvo]

on youtube there are so many low quality math videos from 2005 which annoys me when im grinding for a test. In class, I never understood linear programming but this video clarified it to the point that I feel confident enough for my test. Not only did you save me hours of studying, but you also made me feel very confident for my upcoming test. Thanks so much.

[tallwithglasses]

I appreciate you taking the time to put this together (and helping me put it together!).

[nwannenne]

This was just awesome. Have an exam tomorrow and I'm totally confident after this. Thank you!

[markanthonymadamba]

If only my teacher in college and high school is like you, I would understand every math subject like learning ABCs...

[Vanessedu]

Thanks, i couldnt understand how to get the middle point with the constraints and now I know how. Thanks a lot for taking your time in teaching us.

[davidmacias]

I just want to take time to thank you for this video, it really helped me a lot. I was super anxious and stressed about this topic but because of your video, all this anxiety has gone away! Keep it up and God Bless you!

[xphilly]

omg thankyou so much, i missed a day of school because of a cold and i felt so lost today. im ready to ace this test in 2 days! God bless you

[moremoredatabase]

WAIT I FINALLY UNDERSTAND THIS NOW OH MY GOD. thank you mario, my savior once again. i shall now hopefully pass this 100 point math test tomorrow. 🙏

[wilbertdrazivundru]

If only my professor was as precise! Thank you Mario!!!!

[mrahmeda]

A carpenter makes three types of tables; students (x), teachers (y), and dining (z). The students’ table require 2 hours for sanding and 3 hours for staining. Its profit margin is GH¢36.00. The teachers’ model table require 4 hours for sanding and 3 hours for staining. Its profit margin is GH¢40.00. The dining table require 2 hours for sanding and 5 hours for staining. Its profit margin is GH¢40.00. How should production be allocated to maximise profits if 80 hours are available for sanding and 120 hours for staining? Formulate these data in linear programming of maximising.

[sonaldosui]

best video ever thanks, helps me to review my test

[Potchi]

Straightforward, precise instruction. Much appreciated!

[HonestADVexplorer]

Thank you very much, Mario! You are better than most professors and teachers I have ever had. So easy to understand your explanations.

[JRD-]

Thank you for a beautiful and clear discussion of this topic

[ashlynraynor]

thank you for this! ive been out of school sick and my teacher didnt help me catch up. this helped so much. keep doing what youre doing! <3

[tHaHxr]

6:00 I think it is important to note, that maximizing the objective function is the same as minimizing the negative of that objective function.

[genericgeorge]

Thank you so much Mario, Pre Ap Pre-Calc in freshman year has been confusing. This really helped!

[zanw.awesome]

You are amazing! I hated this topic and always procrastinated doing it. But today I finally did, opened your video and viola, did 5 practice questions, and all right!, thanks a bunch dude, you earned a new subscriber!

[HMB]

Thank you very much. I managed to correct my mistakes. Very clear.