Linear Programming (Optimization) 2 Examples Minimize & Maximize
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- Опубликовано: 29 сен 2024
- 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.
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Another Linear Programming Video I did here:
• Linear Programming
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Sir you look like Johhny Sins
😂 shit 🙌
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bro needs to learn how to hesitate😂😭😭😭
Wtf😂
Thank you, Mario. You have explained the constraint optimization problems well. I learned a lot from you. God bless.
Glad to help!
That's amazing topic.
I can't wait to have your videos
Thank you!
you are OP my guy. Subbed!
Appreciate it!
it helps me a lot thanks so much ❤️
Why only test intersection points? In a more complicated linear system with a more complicated objective function you should go through the entire space no?
this is exactly my question and i am not sure why no one mentioned this. Did you figure it out?
You really are making learning math less stressful! Thank you!
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.
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
Thank you! I had a vague grasp of linear programming concepts but these lectures are helping me build a solid foundation to learn from.
Thank you so much. I’m struggling so much and this really helped ! Do you offer live tutoring ?
Glad my video helped you! You can find out about my paid tutoring here: www.mariosmathtutoring.com/online-math-tutoring.html
I can't believe this was actually so easy! Thank you Mario!
You have helped me beyond belief. Thank you for making math interesting dude.
Thanks a lot sir...really amazing..I'm impressed by your teach ing and it helps me a lot sir
Sir I am so grateful there people like you in this world I just want to say thank you
honestly saved my life, 1 hour before Uni assignment was due found this video which helped me so much
yow teach what is right...the sheddings arent right...u r doing the opposite honestly...unless thats how ur country teaches then u could be right🤷♂️...but this is maths so...
I am also wondering
U are really amazing teacher
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.
@ 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.
YOU ARE SO WONDER FULL TEACHER, I LIKE WATCHING YOUR VIDEO BECAUSE YOU TEACH EFFICIENTLY,SLOWLY ,ACCURATELY ....
Hi Mario, Can you upload more videos on convex optimization problems covering duality ?
This was such a clear and simple explanation!!! TYSM
Jhonny Sins🔥🔥🔥😍
didnt you do a mistake for having twice as many mountain bikes as road bikes? since mountain bikes is X, wouldnt it be 2X=>Y? (2X greatear than or equal to Y)
I thought so too that he made a mistake
okay so i just realized that he didn't actually make a mistake . twice as many as A as B is the same as A is twice as many as B
Same, it’s just a weird way of writing the constraint. You can have X have a higher value than Y • 2 of anything and it would still work, X being greater. I definitely would’ve written it differently tho.
Hey over there, he was actually right! Twice as mountain bikes as road bikes means the mountain bike should be equal to two times the road bike
Thank you so much Mr. Mario this really helped a lot!
Sir you look like Jhonny sins
I had looked at some other videos of the same subject. Yours is clearly the best. Thank you for posting! (Liked and subscribed)
Hi mario,
Great video.
Where can i find more exercises and your resource materials for the same?
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?
Hello! What if the coordinates on both my subjective functions turn out to be the same?
Sir. What if there are 3 equations instead of two? It is easier to solve two equations using elimination method or substitution method. But I have no idea how to solve if there are three different inequality equations. If you have any link regarding this, then kindly share it. Thank you
In simple terms, you'd have three lines and there would be more than three points of intersection. So you would use the same techniques (graph, find the feasibility region, find the coordinates of the intersection of the graphs which border the feasibility region, and plug these coordinates into the function you're trying to maximize or minimize).
Hope that helps!
How can this function be drawn
Minimize z= 4x1-2x2
Minimize z= -3x1+x2
you are an amazing teacher. Never stop teaching.
Wow, thank you!
Hernandez Sarah Miller Karen Lopez Amy
I am grateful. I was able to digest the solutions with ease,
Lee Michael White Edward Thomas George
please explain what about 3 constraints how to find the intercept
Hi Sir. I am International Student in Shanghai and today I have discovered your channel. I hope these videos will help me to pass my final exam. I will inform you when I will ahahahah
Best of luck!
I still cannot y I can't find x anymore 😢
Moore Anthony Davis Deborah Hernandez Steven
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.
Hope you're feeling better now and good luck with your studies!
Only video that helped me understand the min max concept for my honors algebra 2 class online!
This video helped a lot to understand linear programming. have you uploaded more videos on youtube or other channels? I want to follow
In the word problem, wouldn't the second inequality be 2x >= y, not the other way around? The constraint is at least twice as many mountain bikes (x) as road bikes (y)
mwah u saved my life
Help me to solve this sir .A dietitian formulates a special diet from two food groups: A and B. Each ounce of food group A contains 3 units of vitamin A, 1 unit of vitamin C, and 1 unit of vitamin D. Each ounce of food group B contains 1 unit of vitamin A, 1 unit of vitamin C, and 3 units of vitamin D. Each ounce of food group A costs 40 cents, and each ounce of food group B costs 10 cents. The dietary constraints are such that at least 24 units of vitamin A, 16 units of vitamin C, and 30 units of vitamin D are required. Find the amount of each food group that should be used to minimize the cost. What is the minimum cost?
what if there's no processing time or production time? is it okay to have same constant but different time available?
Like a+b
Lopez Donna Clark Margaret Walker Matthew
Amazing explanation, but what do you do when you have more than two variables and can’t put them on a two dimensional graph?
You seem to jump over many points as you rush through a maths problem which causes me to refer to other maths videos to explain the grey areas left in your problem solving videos. Not good.
multumesc domnule lamatic nu vad ziua de maine!
For the first question, why it is the (2,3)? why cannot be some other points on the edge?
This guy is a legend
thank you so so much !!
You're welcome!
So you can use substitution for minimization and maximization? Can you do the same using the simplex method?
my first language wasnt english but idk u explained it better than my teacher lmao
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.
i couldnt understand anything, sorry
How come you flipped the inequality @11.20 ?
This video may help you understand it better: Inequalities and Special Cases (ACT Math Review Video Course 45 of 65)
ruclips.net/video/DbwGMcLaqyI/видео.html
Thank you so much. I have a test on this today and this really helped me!
Glad it helped!
An amusement park wants to promote its business through radio and television. The manager wants to have twice as many radio ads as television ads in the morning. There should at least be at least 12 ads in the morning , while the combined radio and television ads in the afternoon should at least be 10 ads. But there should not be more than 4 television ads. How many ads of each type should be used if each radio ad costs $6,000 while each television ad costs $4,000.
What type of problem is this? And how to solve :
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 🙏🏻🙏🏻
Freaking love Mario. His channel is so helpful.
Awesome! Thanks!
How do we confirm that a point is indeed a maximum point since we gave an unbounded region
You are a genius teacher 💯. Looking forward to meeting you in person
Wonderful explanation.
Thanks! U r awesome
kraaaal
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.
Incredibly helpful, thank you
Glad it was helpful!
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.
Thank you for helping me refresh this stuff for my FE Exam!
this first problem answer is 12. with x=0 and y=4, you cannot solve this with graph like that.
So he was supposed to use the point from the horizontal line which intersects with the y axis?
which side are you shading? the required or the unwanted region?
You really helped me out with this prof
thanks
😢congratulations sir
Thank you so much, this is exactly what I needed to jog my memory.
Thank you so much!!!!
Can you answer my assigment? HAHA.🤧
Your videos always help me. Thank you!
Glad my videos are helping you!
Do we have a playlist ?
Thank you!
May I ask why when the equation has ">=" or "
I believe plain greater than or less then are dotted. while less then or equal to or greater then or equal to are solid. Good luck
Thank you so much! I got into a car accident !!!!!
of all the tutorials l have seen today you are trhe only one that made my life easier, thank you soo much
You video so helpful that help me understand all math I learn from my school god bless you teacher
Glad to hear that
Thanks this helped me a lot! :)
May God bless you and live longer to share your Knowledge
Thank you sir
God bless❤️
A retiree has 60 garden plots on which he could plant cabbage and pechay. His friend told him that he could make a profit of Php 100 per slot of cabbage and Php 90 per slot of pechay. His household could not possibly take care of more than20 plots of cabbage and 40 plots of pechay. How many plots of each vegetable should he plant for him to have a maximum profit? What is the maximum profit? can you give me the constraints?
Is this Linear Programming, i would love to try
@@herbertant4096 Technically yes, but it's a trivial example since the parameters given (x + y
Very nicely done .. It was easy to understand . Thanks very much
Kub Groves
thank you so much, sir, absolutely helpful
I was struggling on a homework problem and this really helped. Thank you so much.
Glad it helped!
finally a real teacher uff!! thank you !🙌
Sir can you repeat again the lesson
Linear Programming Optimization (2 Word Problems)
ruclips.net/video/Bi4740C2CPQ/видео.html
I need your help,,, no one can help me ,,,, please I need to plot the feasible region in matlab
Any can help me, I would appreciate that....
thank you so much Sir! God bless you
Thank you sir