We are in 2018 and you posted this on 2012 and you still saving lives, god bless you man

Im in a 3 hour lecture class and my professor attempted to lecture linear programming in 3 hours.. and I learned how to do it in about 15 minutes with this video...

We are in 2020 and you posted this on 2012 and you still saving lives, god bless you man

This was so helpful! It's funny how I understand better watching video tutorials rather than real live lecturers teaching in front of me lol. Very helpful indeed!

my teacher makes it sound so hard and you make it look so easy got a a test on this tomorrow so thanks man

Great example of LP. Clarified many questions I had. I appreciate you not skipping over the "simple" stuff and working all aspects of the word problem.

Doing this is my last year of high school right now, and we have no teacher! This has been so helpful, thank you so much!

Thank you! I'm a homeschooling mom to three teens and this really helped explain linear programming when we became stuck!

Its 2019 & this is the easiest lecture I've had on linear programming/optimization. Wish I had this when I was in the university in '97.

operational researching is tough, and thank you for making linear programming simple to understand.

Thank you for the helpful video. I'll note that for programming applications we simply use a matrix representation. Then use gaussian elimination to solve (unless there is a more efficient method), then use the objective function to find the optimum (with code of course). So, same thing, just done with matrices.

Best example I've seen yet! Thank you. I was about to withdraw from my finite class.

you are the best. great tutorial. you just deciphered a foreign language for me

wow finally i got a good teacher......Before that i was having rough time with linear programming

Cleared the doubt on my mind regarding LP. Superb tutorial. Respect from London!

Thanks for your explicit explanation. It has been of great help to me. Won't hesitate to recommend

Dear Randy, Thanks a lot. I am learning this as part of my MBA program. My teacher teaches really well. However, I am bit weak in grasping concepts when it comes to math. This video was really helpful. Since the basics are now clear to me, I feel more confident. Thanks again! God Bless!

Thank you! We were asked to do a project which involved LP although we never learnt it! This video solved half of the problems I faced! THANK YOU so much!

holy marony I can't believe this is so easy actually you are a god

very helpful! just struggled with this in my Masters today but this video resolved everything!

You are simply the best, very thorough and easy to follow.

Very helpful, I was really struggling with the linear programming basics. Strongly recommend it to MBA students, and all others of course!

calming voice and a perfect presentation and example in order to explain linear programming, and you made it look so simple because it is the way you taught it! I was having troubles before and now I understand it, thank you so much!!

Dear Randy Thomas; In your example of the farming profit optimization you are mixing apples and oranges. The first constrain plots the total land available in [acres]. The second constrain plots [hrs/year] spent on each product ON THE SAME axises. Therefore the intercept of both is completely arbitrary; it may not exist. The units on both axises should be consistent in order to obtain meaningful results.

Excellent example with a good step-by-step procedure.

This was so helpful! I have been working on this in class for days and have not understood it but after this video I totally get it and I'm confident for my test. Thank you so much!

Glad it helped you. I have lots of other tutorials on various algebra and calculus topics too that you may find useful. Best of luck!

Jump straight to 4:55 to get to the easy example. This is a common example used elsewhere, but explained most clearly here I felt. For my simple brain, I got completely lost in the "theoretical" preceding, but I understood the example. Ps: Thanks.

Thanks so much I learned from this video better than the 5, 45 minute class periods my teacher used to teach this

That was amazing. wow... been trying this for hours and now I know this in 15 minutes. just... wow. Thanks so much.

i love this tutorial. it has helped me a lot to understand what linear programing is all about. thanks Mr. T. I appreciate your efforts

I just finished a systems optimization class and this helped clear some of my confusion. Thanks!

short simple and straight to the point,,,,so helpful thanks

I opened the chapter in the book to do an assignment with a frown, 20mins later I was searching for tutorials on youtube and 1st one I clicked on was this cos I saw an old man in the avatar..... 15mins later I'm smiling and recommending this video to classmates.

this video really helped. i'm not sure if it was me or my teacher but i just did not get it at all and this video makes alot more sense

Thank you so much for the elaborate tutorial! Had completely forgotten how to solve it but thanks to you it's as if I learnt it yesterday! Cheers

This video is very clear to understand and it helped me better understood Linear Programming

best tutorial ever, now i will be able to nail this in my exam

Great tutorial, I use this to calculate both the voltage across a LED... and for accounting to max profit.

Very clear explanation and very good example to demonstrate!

Have A math test tomorrow and this helped me get ready. Thanks

This is so easily explained. Thank you so much Sir Randy Thomas.

Very clear. I'm also studying for my master's and this really helped. Thanks!

Thanks sooooo much you made this problem look so plain and clear to understand!!!!

great video..helpful for my final exams..

I am a simple man, I understand, I subscribe.

Very simple and direct. Thank you.

OMG this topic is actually easy... thanks a lot Mr T

Very Detailed Explanation. Thanks!

Thanks sir, very helpful. Helps much better than the lecture notes I read. God bless you sir.

best video thus far

thank you!! I have a test tomorrow and this video saved me. :)

its good,but i have question,the question is .The uses wood and labor to produce tables and chairs.Recall that unit profit for tables is $6,and unit profit for chairs is $8.There are 300 board feet of wood available,and 110 hours of labor available.It takes 30 board feet and 5 hours to make a table ,and 20 board feet and 10 hours to make a chair.Then a.Formulate linear programing problem. b.Construct the graph and plot constraint lines. c.identify the feasible region. d.determine the optimal solution by algebraically calculating coordinates of the most attractive corner.

Thank you very much. This quickly reminded me the basic LP

you did an excellent job explaining sir

thanks for the explanation. We have two products x and y, Max profit Z=12x+10y s.t 1- 30x+20y

Great video. Thank you so much! Thank you for the historical reference too.

thank you for this mr. thomas, it really help me for tomorrow's exam...

helped me in my research(starting phase) for image segmentation

Thank you for this clip...really helpful.hope for example on complicated questions because exam always came out with hard questions..

Awesome videos, Really helpful to understand linear programming..

Very helpful, easy and well explained. Thank you very much.

The video has made things quite clear in a simplified way. Thank you. I just have one question: why did you multiply the equation x +y = 240 by a negative and can we do that with every equation we formulate in linear programming?

This found to be really helpful & nice presentation.

Why are the max and min correspond to one of the vertices of the feasible region? Excellent tutorial by the way...

very helpful and straight forward

Thanks this just saved me from failing a test

big up mr T, this will get me a few more marks

amazing very simple, you made it way too simple, fab!!!!!!!

You are simply awesome, thank you.

Really great video - explained clearly and concisely. Thank for this help - final part of my test tomorrow not fully clear on ;D

Very effective explanations

Thank you so much! your tutorial is very helpful and easy to understand

Hello, this was more than helpful. Thanks a lot.

Theorems were invented in 1939 proving that for optimization of linear systems always occur at the vertices of the feasible region which is bounded by a set a linear inequalities. Google "linear programming" if you want to understand history of its discovery or its theoretical underpinnings. In this tutorial I am just showing how to apply the concept.

Hi Mr T. Thanks, great video. Could you do some more with a manufacturing example ?? really helpful video ty.

For capturing the video I use Camtasia Studio. It is not cheap. The same company has another program call Snagit which is cheaper with less video editing features and a free program called Jing that I started with for my first videos. For the content on the screen, in this tutorial I used a free download program called Jarnal. I also frequently using Smart Notebook which I use in the classroom. For the handwriting I use a Bamboo brand tablet.

thanks so much sir .i have learnt a lot from you.

Great tutorial! Thanks

You are fantastic sir!

Thank you Mr.Thomas.

This is exactly what I needed! Thank you!

Damn....... Thanks papa!!!! God bless you man!!

Thank you so much Mr. T!

the slurping in the background gets me every single time

Very helpful video, thanks

awesome sir really feel to get something

very nice explained

That was extremely helpful; great explanation!! Thanks so much!!

very clear .more power

it was very helpful for my daughter

Excellent Tutorial.... Thanks alot...:))

Very Great Video

Really good simple explanation, thank you.

great tutorial,.....and it was very helpful from Bangladesh

Thank you sir. This helps me a lot.

2024 and you are a helpo,thanks!!

Excellent Example. Thanks a ton.

Please, I would like to get the answer to these Questions: a) Repi Soap Company wishes to make a new detergent from two of its current soaps: Soap A and Soap B. The new mixture must weight no more than 4 pounds and is to contain at least 6 ounces of cleaning ingredient D. Each pound of soap A costs $4 and contains 3 ounces of D, whereas each pound of B costs $1 and contains 1 ounce of D. How many pounds of each soap should be used in the mixture in order to meet the above requirements at a minimum cost? What is the minimum cost? b) Repeat the above problem, if in addition, the amount of Soap B cannot exceed the amount of Soap A by more than 1 pound.

Very helpful. Thank you.