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
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[@MariosMathTutoring]

Linear Programming (Optimization) 2 Examples Minimize & Maximize kzbin.info/www/bejne/j2jIaHd5qKmIg7s see 2 more examples I did in this video.

[@itzysdaily9238]

sir can u help me with this? Due to the quality of the sun and the region’s excellent climate, a winemaking company can produce two varieties of grapes - Sauvignon Blanc and Chardonnay. The company must manage its $9500 capital since each hectare of Sauvignon Blanc would cost $100, while Chardonnay would cost $200 per hectare. The company only has available 1100 man-days. Sauvignon Blanc requires 10 man-days per hectare and 30 man-days per hectare for Chardonnay. How much hectare must the company plant for each variety of grapes to maximize its profit from $50 per hectare of Sauvignon Blanc and $120 per hectare of Chardonnay?

[@Ukn404]

Exuse me mate, i got this constraint: 155x+59y>=643 and it was reorganized to Y1>=(643-155x)/59 How does this work please help.

[@phremg535]

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

[@MariosMathTutoring]

You’re welcome Lily! That’s what my channel is all about! Glad it is helping you!

[@xtrekrex]

Agreed! Same here!! 😭

[@newvo6571]

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.

[@MariosMathTutoring]

You’re welcome Newvo! Glad my video helped you understand linear programming better! Report back if you want and let us all know how you did on your test...

[@newvo6571]

Will do

[@audaxofficial]

So, did it go well?

[@trashhollowknightplayer4199]

@@newvo6571 how did it go?

[@aaronsmith7627]

He failed... Rip.

[@tallwithglasses2488]

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

[@MariosMathTutoring]

You’re welcome! Glad my video helped you!

[@Levinsam]

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

[@davidmacias6558]

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!

[@iftekhar77]

im so glad i found you sir

[@Potchi79]

Straightforward, precise instruction. Much appreciated!

[@MariosMathTutoring]

Glad you liked the video!

[@ashlynraynor5296]

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!

[@wilbertdrazivundru7211]

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

[@sonaldosui8154]

best video ever thanks, helps me to review my test

[@abhishekchaudhary6975]

Very lucid and comprehensible explanation. Really helpful for novice in LP like me :)

[@dannybonilla4048]

Thank you so much! I genuinely appreciate it

[@zanw.awesome3102]

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!

[@adityaghalsasi6809]

So wonderfully explained. Thanks

[@nwanne1nne616]

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

[@MariosMathTutoring]

+Nwanne 1nne Great! Glad my video helped you. Report back and let us know how did on your test if you want. Good luck!

[@kimutaisengech2518]

@@MariosMathTutoring .....you are doing good but my question is that must I shade the wanted region can't I still shade the unwanted region and still get it?

[@zeinelmokhtar4105]

Examples are very important. thank you for this aming content.

[@x999philly]

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

[@AA-yk8zi]

Thank you! Great explanation

[@berkyasar7010]

thanks a lot for your work, video was very helpful

[@markanthonymadamba]

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

[@bpittman1]

Your doing this in high school and college!?

[@moremoredatabase5324]

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. 🙏

[@mohammadalidavari9083]

It was clear and easy to get. thanks a lot

[@arod762]

Thank you so much! My teacher doesn't teach and this helped big time.

[@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.

[@MariosMathTutoring]

You're very welcome!

[@miniflea0469]

Thank you so much mario!

[@anisarraf2992]

Amazing explanation!

[@essymutuku6140]

Wow!! Thanks so so much!!

[@BDeedle]

very clear and easy to follow. thanks!

[@MariosMathTutoring]

+B Deedle your welcome! Glad you liked the video!

[@tamefind]

thanks you so much! This was just awesome

[@scarlet0017]

thank you,GOD BLESS YOU

[@JRD-18]

Thank you for a beautiful and clear discussion of this topic

[@MariosMathTutoring]

Glad you enjoyed it!

[@user-ol6xw4te8j]

Excellent job

[@Ancient-Window-]

Thank you.

[@3minramen927]

Thank you so much

[@HMB30]

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

[@MariosMathTutoring]

You’re welcome!

[@genericgeorge4933]

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

[@MariosMathTutoring]

Glad my video helped you George! Lots of precalculus videos on my Mario’s Math Tutoring channel.

[@genericgeorge4933]

Mario's Math Tutoring I’ll make sure to look at them when I need them! Earned a sub and like! Thanks a lot Mario!

[@ImtithalSaeed]

Soo clear thanks

[@tHaH4x0r]

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.

[@ahnafmunim8401]

Thank you sir so much for the video. It really helped me a lot.

[@MariosMathTutoring]

Glad it helped you Ahnaf!

[@stevenkamwendo8245]

really appreciated sir

[@Coloreddragon23]

Thank you so much, this video helped me understand better

[@MariosMathTutoring]

Glad it helped!

[@ibrahimali1282]

ty so much

[@alial_ameer6483]

Thank you very much, your follower of Ali from Iraq🇮🇶

[@quackkuryu4680]

grate for review

[@muthembafei]

Amazing

[@cscs6587]

Perfect .

[@minhajali4124]

Thanks

[@amanijeanpierre7911]

Very understandable. Good work.

[@MariosMathTutoring]

Glad you liked my Linear Programming video Amani!

[@EmonGembul]

Your writing so good😊

[@karenjoycedionisio1917]

This video saved me.

[@johannsantoshmammen6210]

thank u for making it se easy to understand...

[@MariosMathTutoring]

You’re welcome Johann!

[@sorokolotioloma7757]

thank you very much .

[@MariosMathTutoring]

Your welcome. Glad my video was able to help you.

[@leonalisandro631]

very useful video . thank you

[@MariosMathTutoring]

Your welcome! Glad it helped you!

[@mrahmeda12]

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.

[@kiduaalute603]

Help me alot

[@MariosMathTutoring]

Glad my video helped you!

[@vaibhav_xo5534]

love u mariooooo

[@ropa1984]

If there is a dotted line () does that change your cornerpoints?

[@smellybuttbread]

This was really helpful for my math project at school, thanks Mario!

[@MariosMathTutoring]

You’re welcome! Glad it helped you!

[@auroraborelaris]

thank you

[@MariosMathTutoring]

Your welcome!

[@uncleloustv6654]

Great video the hardest part is definitely constraints

[@MariosMathTutoring]

Glad you liked my video...yes i agree ...writing the constraint equations is the tough part

[@soumitramukherjee6131]

Can you suggest a basic book on operations research

[@ruchitaramgude7135]

very useful

[@MariosMathTutoring]

Glad you liked the video Ruchita!

[@Burgeeco97]

Legend

[@averyross3425]

At 5:25, where did the negative two that you multiplied with come from?

[@zonk9343]

He was using the elimination strategy to isolate one of the variables; -2 was used to cancel out the +2, but in return, he had to multiply the whole equation.

[@aaronsmith7627]

Look up for: simultaneous equations, there lies your answer :)

[@jeremiahjato4610]

Do you have a course on operations research?

[@obaydullah6927]

Nice ...

[@MariosMathTutoring]

Glad you liked the video Obaydullah!

[@daviesDynamo7554]

Hello sir. Please why did you use -2 on the two equations?

[@jaredgamayon8852]

Hi sir can you give me a possible question and a brief answer about LP. I really like your video however i cannot connect my case study to your video. Can you give me some question and answer related to case studies like mexican WIRE WINDING incorporated .. thank you sir .

[@hippolippo]

Is there a proof for why it has to be on one of the vertices?

[@whimsy7706]

hi, why did you multiply the top equation by negative 2? (during the finding of that one vertices)? thank you for this video :>

[@xoelletea]

also would like to understand this!

[@xoelletea]

I think it might be the least common mutiple

[@riadzreik]

Wow

[@normalperson9413]

yo mario does math other than saving the princess :o

[@HLWizard_GirlWizard]

I thought you had to define the decision variables?

[@samvibes8544]

I didn't understand how that -2 was used in that equation (time - 5:23)

[@howled0]

wait, 240 hours a day? whaaaaaaa

[@ninobarbosa4876]

Why did you multiply the (x+y=80) with -2 ??

[@samvibes8544]

I have same question

[@craigkennedy4947]

@@samvibes8544 To isolate y (by removing x) to be able to solve for y from the system of equations - he added the 2 equations after multiplying by -2. He could have also multiplied by (positive) 2 and subtracted and yielded the same result.

[@Kliamframe]

A+

[@franciumzagadat8767]

i thought if the results from the test point are true you shade the opposite side of the test point. Is it so???

[@MariosMathTutoring]

Francium, no ...if the test point is true that is the side you shade.

[@franciumzagadat8767]

@@MariosMathTutoring thank you so much

[@MariosMathTutoring]

You’re welcome!

[@Sahal-lx4em]

Jhonny?

[@holly1528]

Wait, what?

[@darthboganis1356]

this dude sounds like david lee roth wtf haha

[@licecollector6199]

AAAAHAHHHHHHHH I WANNA KILL MYSELF WAAAAAAA

[@saryapatrwsh6569]

thank you

[@MariosMathTutoring]

You’re welcome Sarya!