Linear Programming (Optimization) 2 Examples Minimize & Maximize

Learn how to work with linear programming problems in this video math tutorial by Mario's Math Tutoring. We discuss what are: constraints, feasible region and the objective function. We go through 2 examples one involving finding the minimum for an unbounded region and the other a word problem example involving maximizing profit for a bounded region.
Related Videos to Help You Succeed!:
Another Linear Programming Video I did here:
• Linear Programming
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[@LazaretFet]

I have a project on linear programming so this is like a GODSEND for me as none of the 10th grade textbooks ever covered this and there nothing on the net as well so thank you Mario you're the best.

[@AA-yk8zi]

You really are making learning math less stressful! Thank you!

[@empyrean5330]

Thank you! I had a vague grasp of linear programming concepts but these lectures are helping me build a solid foundation to learn from.

[@morganstaff5761]

Thank you so much for this. I was not understanding this at all in my class and getting so upset until I watched this video and it all clicked. I’ve done 3 problems since watching this and gotten them all right

[@ExpertPlum]

honestly saved my life, 1 hour before Uni assignment was due found this video which helped me so much

[@alex-em4em]

I can't believe this was actually so easy! Thank you Mario!

[@thomasmichael2654]

You have helped me beyond belief. Thank you for making math interesting dude.

[@jerrywest1693]

I had looked at some other videos of the same subject. Yours is clearly the best. Thank you for posting! (Liked and subscribed)

[@kentaro2812]

Only video that helped me understand the min max concept for my honors algebra 2 class online!

[@thando7786]

We never did this in class, when I saw it in a past exam paper, I was like what in the world!!! , I need to check Mr Mario, thank you so much.

[@EddieArafa]

Thank you so much Mr. Mario this really helped a lot!

[@nidhi_prem]

This was such a clear and simple explanation!!! TYSM

[@sxint.nineteen1751]

THANK YOU SO MUCH i have a final tomorrow and was stressed about this using a TI-84 makes me all confused THIS IS GREAT THANK U THANK U 🙏🏻🙏🏻

[@melindamutoro6879]

of all the tutorials l have seen today you are trhe only one that made my life easier, thank you soo much

[@thomasetapp1321]

Sir I am so grateful there people like you in this world I just want to say thank you

[@budsandy3830]

Thanks a lot sir...really amazing..I'm impressed by your teach ing and it helps me a lot sir

[@swatityagi222]

Hi Mario, Can you upload more videos on convex optimization problems covering duality ?

[@uchenjoku1888]

I am grateful. I was able to digest the solutions with ease,

[@pravinkumar54]

Hi mario,
Great video.
Where can i find more exercises and your resource materials for the same?

[@nicomez3319]

Thank you for helping me refresh this stuff for my FE Exam!

[@amusimakuhle2011]

Thank you so much, this is exactly what I needed to jog my memory.

[@StAnnsGirlsSHSSampaGhanaBonoRe]

This video helped a lot to understand linear programming. have you uploaded more videos on youtube or other channels? I want to follow

[@arouneselvalingampanneerse6836]

Very nicely done .. It was easy to understand . Thanks very much

[@toymonster7544]

Thanks this helped me a lot! :)

[@nicolezizi]

Thank you so much! I got into a car accident and needed to quickly catch up on my learning. I have been stressed with learning the material. You really helped me with learning this lesson so I can be able to do my homework.

[@rayan8031]

Hope you're feeling better now and good luck with your studies!

[@sierrabarajas4220]

Your videos always help me. Thank you!

[@MariosMathTutoring]

Glad my videos are helping you!

[@sonnybattaglia4760]

So useful! Thank you.

[@angelacreed9806]

Thank you so much for this Sir!

[@natinaelfikre3015]

YOU ARE SO WONDER FULL TEACHER, I LIKE WATCHING YOUR VIDEO BECAUSE YOU TEACH EFFICIENTLY,SLOWLY ,ACCURATELY ....

[@shennamaemateo9174]

thank you so much, this is really helpful

[@mmmdonutsss]

Thank you so much. I’m struggling so much and this really helped ! Do you offer live tutoring ?

[@MariosMathTutoring]

Glad my video helped you! You can find out about my paid tutoring here: www.mariosmathtutoring.com/online-math-tutoring.html

[@aaroncheri]

Thank you, Mario. You have explained the constraint optimization problems well. I learned a lot from you. God bless.

[@MariosMathTutoring]

Glad to help!

[@melodydeng6599]

thank you so much, sir, absolutely helpful

[@diacallenreese7162]

Thank you for this!

[@konasavage]

Incredibly helpful, thank you

[@MariosMathTutoring]

Glad it was helpful!

[@enzoenzo3776]

Thank you!

[@sarasultan1745]

it helps me a lot thanks so much ❤️

[@patriciachuka9371]

Very nice and on point explanation. Keep it up💪

[@user-ol6xw4te8j]

Excellent job!

[@maxmacalupu5336]

Wonderful explanation.

[@marioabzz26]

You really helped me out with this prof
thanks

[@acerella7217]

thank you so much Sir! God bless you

[@llyvm]

I was struggling on a homework problem and this really helped. Thank you so much.

[@MariosMathTutoring]

Glad it helped!

[@ahmetpehlivan3698]

Clean and nice lesson, Thanks sir.

[@jaydaka7886]

That was really helpful thanks

[@rosanasanches641]

finally a real teacher uff!! thank you !🙌

[@sablewengaeltilahun5881]

Excellent explanation.

[@augustinechidexnnamah2023]

You are a genius teacher 💯. Looking forward to meeting you in person

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U are really amazing teacher

[@omertop8131]

thank you Mr.Mario

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thanks a lot..... u really make maths easy

[@dawneabdulal-bari9313]

Awesome presentation ~ Thanks

[@MariosMathTutoring]

Glad you enjoyed it

[@didigarcia8825]

this was soo helpful. Thank you

[@MariosMathTutoring]

Glad it was helpful!

[@jakeyjacks277]

thank you so much!

[@georgesadler7830]

Thank you for the video.

[@MariosMathTutoring]

You're welcome!

[@karankewat1.10]

Thank You!

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Thank you so much!!

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You sir are awesome!

[@AyodeleKayode-nb9kz]

Thank you sir

[@OwltheWho]

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[@MariosMathTutoring]

Appreciate it!

[@namboowaracheal9920]

May God bless you and live longer to share your Knowledge

[@jamesranawadia]

You are a good man

[@legarajensels.1327]

thank you so much sir!!

[@chrisfrshw]

@ mario great video.. my question is (and hoping you can point me to some material) in the example you used we were trying to optimise the production vs profit equation. How would these same principles/method work where im trying to optimize/solve a profit equation based on a demand function where price / demand relationship is linear (or non linear) and the profit equation is dynamic based on the price setting. I really struggle to grasp this. Thanks in advance.

[@unikakhushi4245]

thank you so much!🥰

[@llewelynsmit2977]

This guy is a legend

[@JOLINJTURKCS]

awesome explanation

[@sultanharebalsuwaidi9830]

The way you explain things is so out of this world. Thanks

[@itscrewston6684]

So you can use substitution for minimization and maximization? Can you do the same using the simplex method?

[@denelhorn4992]

Notice that the profit for road bikes would be 15x200y= 3000. I would definitely make more road bikes. Thank you very much for an awesome video.

[@banasreedas2931]

Thank you Very very very much

[@anymorechangara7146]

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[@brianv5666]

finally understood it!

[@samueln3761]

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[@MariosMathTutoring]

Wow, thank you!

[@kalaniarampola6045]

Thank you

[@omranlootah9979]

Amazing teach 💯

[@dinushenya2026]

please explain what about 3 constraints how to find the intercept

[@beecrofttobiloba1869]

Thank you sir
God bless❤️

[@ukaszmilunas4850]

I love it. Thank you!

[@MariosMathTutoring]

Glad you like it!

[@user-ys3fp1jt2y]

thank you very very much

[@mohitpatel1536]

Thanks! U r awesome

[@mr.v9083]

Sir, that was really very much helpful for me.
I have a few more question so can you please tell me how can I ask you those questions.
It will be so nice of you if you help me.

[@niiv7263]

Thanks

[@ourpackage3028]

thank u sir

[@hempigha]

very well done!

[@MariosMathTutoring]

Thanks!

[@EliasMasikaPhD]

which side are you shading? the required or the unwanted region?

[@SaRa-vq7mk]

thank you

[@abhisheksuga4637]

Do we have a playlist ?

[@davidsiff]

Amazing explanation, but what do you do when you have more than two variables and can’t put them on a two dimensional graph?

[@niyucoa]

multumesc domnule lamatic nu vad ziua de maine!

[@DANIELLAQUEEN-ih2op]

THNKS ALOT😁

[@MariosMathTutoring]

You're welcome!

[@krystalowens4081]

Where did they get the 2x+3y from?

[@journey2code]

Great

[@justsoccer07]

Nice

[@user-hg1gu5pe2d]

You video so helpful that help me understand all math I learn from my school god bless you teacher

[@MariosMathTutoring]

Glad to hear that

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What kind of themes I should particularly pay attention to get high score on SAT math section?

[@MariosMathTutoring]

mariosmathtutoring.teachable.com/p/huge-sat-math-review

[@keylialano]

what if there's no processing time or production time? is it okay to have same constant but different time available?
Like a+b

[@daviesDynamo7554]

good morning sir. this is my first to see your videos and you really getting me started. i am really struggling on an assignment. please help.

[@yahhh5489]

what do we find if we need the optimal?

[@vlogsbySapna]

Sir if we have had a value x and y is 0 then how we will make the graph ? When both x and you =0 then how we will make the graph?