the convention i am used to is: if it is less than or EQUAL, greater than or EQUAL, use a solid line if it is only less than, or greater than, use a dashed line
you would do the exact same thing. the inequalities would be different (i assume) producing a region that would have a minimum value. but basically you do 100% the same thign
For the third time this semester, you will be the reason I pass my test tomorrow. For the life of me I couldn't figure out how to find the point where the lines intersect. But after this, it all clicked! Thanks very much.
@TheAllboutwin gotta to agree with you to a very large degree. at the same time, i did have teachers who were not the best. however, i think many teachers deserve way more respect than they get. i mean, most are not there for the money (it stinks), but because they care.
I remember studing this as an element of a Operations Research module years ago. I have forgotten how to do linear programming, but its amazing how quickly it comes back. Thanks.
I love how you explain graphing equations so much differently and more complicated than every other math person on here causing me to be more confused than I previously was about it. It's just so convenient, ya know, like when someone's trying to study for an exam, looking for a good explanation on that thing they just don't understand. I still haven't found it. thanks for this waste of time. =D
I was literally in tears moments ago... but now am seeing light at the end of the tunnel! Thank you so much for this. I am going to watch it over and over. Thank you!
I did linear programming last year, and although the teacher didnt explain it well, I managed an A and got a good grade for Alegbra 2. Lately I've been reviewing for ATCs and I realized that just getting by and memorizing stuff isnt how to get thru high school. Now I'm going back thru, praticing, actually learning and you've helped me just so much. one huge thank you!
@joepglass there is a lot of blame to go around, but it is ultimately the students issue to learn. one has to learn to teach one's own self. if one can not learn something (or at least try to) on his/her own, they are doomed in life to be a drone. so many people want to be spoon fed everything: just show me how to do the problem, do not make me think about it
Very impressive. You really know your math! This video helped me out immensely. I was stuck on a linear programming problem for my technical math w/ calculus class and this video gave me what I was missing. I was able to solve my problem and now have a better understanding of this type of problem. Thanks for posting!!
OMG!!! Man, I love You!!! ^_^ You actually teach something unlike my math teacher who just expects us to know how to solve these problems without examples.
Your explanation was simply outstanding. I much appreciate the time you took to help others like me that were having difficulty in this area. You made the complex simple.
Great explanation, I was going over this for hours and your video got me past my mental block. Really appreciate it, now I can solve these problems and get done.
You my friend are a lot better than my Algebra 2 Teacher! I have questions when I ask my teacher, but I have no questions with this when I watch this! Thank you!
thanks! and for the numerical mistake... i dont care! i mean, i made a note of it and i want people to for sure be aware of the mistake. but i do not feel like remaking and more importantly: everyone makes mistakes, especially in math. i am not at all ashamed or embarrassed by mine! let the world see: i made a very simple computational mistake!!
@chazmazzer I'm in the same position but mine's tomorrow! AQA Decision Maths Module 1, 9.30AM, UK! BUMMER! To @patrickJMT Thank you! Great help, great pace! You're awesome. :D
I am an Algebra II teacher and need more examples of Linear Programming problems to create a practice worksheet for my students. Our textbook doesn't have many of these type problems. Any idea where I can find more? Loved your example and clear explanation.
what a great explanation and run through thank you sooooooooo much , i have been having the worst time with linear programming and you explained it beautifully and simply ,much appreciated!!!!!!!
Wow, I really wish you were my teacher. It took my teacher two weeks to teach my class how to do this, and you explained everything better than her in 11 minutes. Good job =]
Hello you added wrongly on using the (80,160) coordinates....that is supposed to be the maximum point because when you add 3200 and 4800 you get 8000 not 7000 8:44
I actually have a quiz on this tomorrow first thing in the morning.. Thanks for making this video because now I actually understand today's lecture, I was baked as hell today and didn't really try very hard. But your video has taught me more than my hour long class lol
optimization problems for non-calculus students...awesome!!! I've taken all of the calculus's and I've never actually done one of these particular problems before...
patrickjmt, you should do a video on the simplex method if you ever have the time. sure, the graphical method works, but its really limited as in i can only solve problems with a couple variables, plus i have to graph the thing by hand. simplex method is pretty effortless once you figure out the rhythm to it.
just to reiterate @mitraa7 comment: 3200 + 4800 = 8000, so it is best to plant some corn and some oats. Make sure to correct this little error. Great video!
Man I love this stuff. My teachers try to push all the magical floaty teary eyed abstract BS around and then give you ONE problem to practice on without even telling you how to do it. This is straight mechanics. LOVE IT. I can do that BS stuff later, right now its time for business :D
how do you do a linear regression problem if it has 3 variables because this problem i'm stuck on is giving general labor, machine time, and technical labor required to make one bicycle and then it gives the amount of hours spent on each one per week. So, i don't know how to model the constraints.
@ScumbagRS5 i worked 40 hours a week in a restaurant and took 18 hours many semesters, so tell me all about it. no free rides here. and complaining about an accent of a teacher in college is just silly (not that you are complaining, but for those who do) . school is hard, yes. work is hard, yes. but so many in the world have it so much worse i just always thought: what do i really have to bitch and cry about? answer: nothing.
I solved this intuitively in 20 seconds. You need to have maximum corn but you also don't want to leave any land spare. first guess was 100 corn, that meant that there would be 120 hours left for oats, this only equals 220 acres - so wastefull. next guess was drop corn to 80, this requires 160 hours leaving 80 for oats, and 160 plus 80 equals 240, ie no waste, therefor optimum. 20 seconds, maybe 30 tops. although i do apreciate that with more complex numbers it would need written calculation
perfect. I understand it now, but I still have one question; when you plugged 0 for x and y in x+y=240 and 2x+y=320, did you use 0 because thats what x and y were equal or greater than or did you just choose them as a test point? For example, if this problem was the same except that x was = or less than 5 and y was = or less than 3, would you plug 5 and 3 into the problem, or could you choose any number to plug into the equations? Thanks!
Patrick great vids!! A question pls, if I have 3 equations subject to, and 3 variables x1, x2 and x3 will this same rule apply as your explanation? It is basically adding more equations subjected to the example you did as you did only with 2 equations. Thanks a ton!!
@GlowMagik Thinking about it, i guess you could work through the constraints - dividing x or y by the time available, and the lowest x result would be your boundary point on the x axis and the lowest y result on the y axis. Is that correct?
Question: my lecturer said you don't need to draw a graph to solve an LP problem like this. So how would you identify the other two points of the boundary i.e (0 , 240) and (160 , 0), without actually drawing the graph?
Can someone help me with this problem... Person A can paint a wall in 6 hours and B can do it in 4 and C does it only in 2 hours. If they work together how long will it take?
Very Nice, but would it be possible to formulate an equation by finding the combination result of adding those two equations where they intsect, and find the derivative of that? Or maybe that would too much. I hope that is not confusing
very good but i prefer drawing the objective function and move it upward to get the max and downward to get the min. instead of substituting with each vertex
could someone pls solve this problem? i have issues with it thanks Farmer has 240 acres of land. He can plant corn and oats. When planting corn, his profit is 40 USD per acre of corn. When planting oats, his profit is 30 USD per acre of oats. Farmer has 320 hours of labor available. Corn takes 2 hours of labor per acre, oats requires 1 hour of labor per acre. Use the linear programming approach. How many acres of each (corn and oats) should farmer plant in order to maximize his profit?
You have just saved my bacon...I'm not even joking. This was going to be the horror of Decision Maths A level for me.... You can't even imagine how much love I have for you right now. I might even pass O.o
@tyverion no problem!
@joepglass not sure what you mean
graph inequalities, find points of intersection, plug stuff in.
certainly there are lots of small steps to do all of this that makes it confusing.
the convention i am used to is:
if it is less than or EQUAL, greater than or EQUAL, use a solid line
if it is only less than, or greater than, use a dashed line
@drako600 yes, as pointed out in the annotations and by 10000 other people. thanks though
you would do the exact same thing.
the inequalities would be different (i assume) producing a region that would have a minimum value.
but basically you do 100% the same thign
For the third time this semester, you will be the reason I pass my test tomorrow. For the life of me I couldn't figure out how to find the point where the lines intersect. But after this, it all clicked! Thanks very much.
@McWeslyF1 mistakes happen, only trolls hyperfocus on them! thanks for the kind words : )
@TheAllboutwin gotta to agree with you to a very large degree. at the same time, i did have teachers who were not the best. however, i think many teachers deserve way more respect than they get. i mean, most are not there for the money (it stinks), but because they care.
I remember studing this as an element of a Operations Research module years ago. I have forgotten how to do linear programming, but its amazing how quickly it comes back. Thanks.
my pleasure.
happy that it helped!
as pointed out in the annotations; thanks though
I love how you explain graphing equations so much differently and more complicated than every other math person on here causing me to be more confused than I previously was about it. It's just so convenient, ya know, like when someone's trying to study for an exam, looking for a good explanation on that thing they just don't understand. I still haven't found it. thanks for this waste of time. =D
idk... try it and let me know! : )
I was literally in tears moments ago... but now am seeing light at the end of the tunnel! Thank you so much for this. I am going to watch it over and over. Thank you!
Wow...i've come accross LP for 2 years and i'm just understanding it. Thank you so much Patrick. You're the best....a life saver
@paragjbp just like the annotations point out if you watch the video.
thanks though
I did linear programming last year, and although the teacher didnt explain it well, I managed an A and got a good grade for Alegbra 2. Lately I've been reviewing for ATCs and I realized that just getting by and memorizing stuff isnt how to get thru high school. Now I'm going back thru, praticing, actually learning and you've helped me just so much. one huge thank you!
@MrinalChoudhary lol, thanks! fixed!
I'm talking math as an online course at the university level, and watching this video is > reading the chapter. Thanks for a quick 11 minute lesson!
@joepglass there is a lot of blame to go around, but it is ultimately the students issue to learn. one has to learn to teach one's own self. if one can not learn something (or at least try to) on his/her own, they are doomed in life to be a drone. so many people want to be spoon fed everything: just show me how to do the problem, do not make me think about it
that is what makes algebra hard.............. there is one million and one small things that to remember.
You know that feeling when you suddenly begin to understand something you haven't understood for five days straight?
I love you right now. Seriously.
Helped me on my Algebra 2 take home test. Your a grade saver. You explain way better then my teacher!
Very impressive. You really know your math! This video helped me out immensely. I was stuck on a linear programming problem for my technical math w/ calculus class and this video gave me what I was missing. I was able to solve my problem and now have a better understanding of this type of problem. Thanks for posting!!
OMG!!! Man, I love You!!! ^_^ You actually teach something unlike my math teacher who just expects us to know how to solve these problems without examples.
Your explanation was simply outstanding. I much appreciate the time you took to help others like me that were having difficulty in this area. You made the complex simple.
happens to the best of us
@montealegre5 good to see that no one reads the annotations i put in, or the 100 other comments on this
Great explanation, I was going over this for hours and your video got me past my mental block. Really appreciate it, now I can solve these problems and get done.
You my friend are a lot better than my Algebra 2 Teacher! I have questions when I ask my teacher, but I have no questions with this when I watch this! Thank you!
What a truly fantastic video. I have an Alg2 Honors test tomorrow, and this was the only thing i didn't get from my chapter. Again, thanks a bunch!!
@HabboLord101 ha, no need for that.
@hpeselyk always easier to blame someone else than to take any personal responsibility.
This video is very very well explained, it's so much better than my tutor who just rushes through it with minimal explanation. Thanks a lot : ]
thank you so much! i'm a very visual learner and i loved how you went step by step explaining things. im ready for my test!
thanks!
and for the numerical mistake... i dont care! i mean, i made a note of it and i want people to for sure be aware of the mistake. but i do not feel like remaking and more importantly: everyone makes mistakes, especially in math. i am not at all ashamed or embarrassed by mine! let the world see: i made a very simple computational mistake!!
thank you so much for posting this, ive been struggling on this for along time and you make it alot easier to understand!
Whoever made this video needs to be given a medal. Thank you! legenddddd
You've made this sooooooooo much easier than what I thought of linear programming initially! :D
Eventhough you had mistakes, you were better explaining than my math instructor who sucks at it. Thanks for helping prep my math exam. :)
Thanks bro, u have explained a 3hr lesson in 11 minutes. Keep up the good work :)
Holyyy Coooowwwww my scores in my quizzes and Long tests got higher because of your tutorials!!! THANK YOU!!!! I LOVE YOU MAN!!!
this really helped me understand how to get the constraints for linear progrmming problems thanks
ah yes, that is the fun part of math.
get one symbol slightly mixed up, and everything falls apart : )
yes,as the annotations and 100 other comments point out! thanks though
@chazmazzer I'm in the same position but mine's tomorrow! AQA Decision Maths Module 1, 9.30AM, UK! BUMMER!
To @patrickJMT Thank you! Great help, great pace! You're awesome. :D
@poopinitup yep, i agree 100%
duuuuuuuuuuuuuuuuuuuh! you are right : )
i made this last night, right before i went to sleep : ) dumb mistake on my part!! thanks
Great job. Should be more people like you who understand math and have the ability to teach others, You are a rear breed indeed!
@Maaaaaaaaaaaaaaartin bleh, i do not care : ) it happens! i did the process correctly, and that is what is important ( -1 on patrick's test)
Thank you so much :)
I have an exam tomorrow and this was perhaps the best video to watch before taking the exam..
Thanks again :)
Clears my confusion of what the heck my prof wants from linear programming. This is good, thank you so much.
thanks!
Great tutorial! I'm a very visual person and I wasn't paying much attention to linear programming in class, our textbook is rather shoddy
I am an Algebra II teacher and need more examples of Linear Programming problems to create a practice worksheet for my students. Our textbook doesn't have many of these type problems. Any idea where I can find more? Loved your example and clear explanation.
what a great explanation and run through thank you sooooooooo much , i have been having the worst time with linear programming and you explained it beautifully and simply ,much appreciated!!!!!!!
Wow, I really wish you were my teacher. It took my teacher two weeks to teach my class how to do this, and you explained everything better than her in 11 minutes. Good job =]
Hello you added wrongly on using the (80,160) coordinates....that is supposed to be the maximum point because when you add 3200 and 4800 you get 8000 not 7000 8:44
yes, there are many comments about this. :) thanks for pointing it out though!
I actually have a quiz on this tomorrow first thing in the morning.. Thanks for making this video because now I actually understand today's lecture, I was baked as hell today and didn't really try very hard. But your video has taught me more than my hour long class lol
optimization problems for non-calculus students...awesome!!! I've taken all of the calculus's and I've never actually done one of these particular problems before...
sounds good to me! unless... i am your math tutor!
patrickjmt, you should do a video on the simplex method if you ever have the time. sure, the graphical method works, but its really limited as in i can only solve problems with a couple variables, plus i have to graph the thing by hand. simplex method is pretty effortless once you figure out the rhythm to it.
this helps so much have an exam on this tomorrow, thanks again PatrickJMT
just to reiterate @mitraa7 comment: 3200 + 4800 = 8000, so it is best to plant some corn and some oats. Make sure to correct this little error. Great video!
You sir are quite talented! In one problem I understand how to do an entire worksheet!
Thanks a lot it really helpful! and its quite entertaining at the end when u say "if u farmer plan all oats and make money"! thanks again!
Man I love this stuff. My teachers try to push all the magical floaty teary eyed abstract BS around and then give you ONE problem to practice on without even telling you how to do it. This is straight mechanics. LOVE IT. I can do that BS stuff later, right now its time for business :D
how do you do a linear regression problem if it has 3 variables because this problem i'm stuck on is giving general labor, machine time, and technical labor required to make one bicycle and then it gives the amount of hours spent on each one per week. So, i don't know how to model the constraints.
@ScumbagRS5 i worked 40 hours a week in a restaurant and took 18 hours many semesters, so tell me all about it. no free rides here. and complaining about an accent of a teacher in college is just silly (not that you are complaining, but for those who do) . school is hard, yes. work is hard, yes. but so many in the world have it so much worse i just always thought: what do i really have to bitch and cry about? answer: nothing.
I solved this intuitively in 20 seconds. You need to have maximum corn but you also don't want to leave any land spare. first guess was 100 corn, that meant that there would be 120 hours left for oats, this only equals 220 acres - so wastefull. next guess was drop corn to 80, this requires 160 hours leaving 80 for oats, and 160 plus 80 equals 240, ie no waste, therefor optimum. 20 seconds, maybe 30 tops. although i do apreciate that with more complex numbers it would need written calculation
Patrick:
You're the poo. Your example made more sense to me than any of the others I watched. Thank you so much for your help. I'm subscribing.
perfect. I understand it now, but I still have one question; when you plugged 0 for x and y in x+y=240 and 2x+y=320, did you use 0 because thats what x and y were equal or greater than or did you just choose them as a test point?
For example, if this problem was the same except that x was = or less than 5 and y was = or less than 3, would you plug 5 and 3 into the problem, or could you choose any number to plug into the equations?
Thanks!
When you use the points (80,160) to calculate profit using the inequality 40x + 30y the answer is $8000 and not $7000.
Patrick great vids!!
A question pls, if I have 3 equations subject to, and 3 variables x1, x2 and x3 will this same rule apply as your explanation?
It is basically adding more equations subjected to the example you did as you did only with 2 equations.
Thanks a ton!!
I'd never thought I'd be able to do this, thanks
@GlowMagik Thinking about it, i guess you could work through the constraints - dividing x or y by the time available, and the lowest x result would be your boundary point on the x axis and the lowest y result on the y axis. Is that correct?
OMG!! You taught me this better than my own teacher!!!!
You sir, ROCK!
5/5 and recommendation to my friends!
Question: my lecturer said you don't need to draw a graph to solve an LP problem like this. So how would you identify the other two points of the boundary i.e (0 , 240) and (160 , 0), without actually drawing the graph?
Does it always turn out to be a quad? I did a problem in my book and I got a triangle for the space.
Why is it true that the "corner points" will yield the extreme values of the profit?
patrickJMT I love you because you made an easy-to-understand awesome video, and most of all because you're left-handed XD
*winks in your direction*
Can someone help me with this problem...
Person A can paint a wall in 6 hours and B can do it in 4 and C does it only in 2 hours. If they work together how long will it take?
So sad that you messed up the last part of an awesome explanation haha, no biggie great job really helped me!
Very Nice, but would it be possible to formulate an equation by finding the combination result of adding those two equations where they intsect, and find the derivative of that? Or maybe that would too much. I hope that is not confusing
very good but i prefer drawing the objective function and move it upward to get the max and downward to get the min. instead of substituting with each vertex
i always come to him for hints on hw even if it isn't the exact thing, i get an idea of WHAT to do at least.
could someone pls solve this problem? i have issues with it thanks Farmer has 240 acres of land. He can plant corn and oats. When planting corn, his profit is 40 USD per acre of corn. When planting oats, his profit is 30 USD per acre of oats. Farmer has 320 hours of labor available. Corn takes 2 hours of labor per acre, oats requires 1 hour of labor per acre. Use the linear programming approach. How many acres of each (corn and oats) should farmer plant in order to maximize his profit?
end of year exam in 45mins, and i think this video will really help me on the linear equation questsions! =P thanks alot
@curryking95100 glad u and your friend like the vids
You have just saved my bacon...I'm not even joking.
This was going to be the horror of Decision Maths A level for me....
You can't even imagine how much love I have for you right now. I might even pass O.o
Good video. One question. Why are the corner points the only places you have to look for maximums for an equation that is not on the graph?
I have a question because I couldn't hear the video well enough. How do know which points are the vertices which you use to find the min and the max?
good luck on the test : )
actually third option is better since total is 8000. there is a simple mistake in summation but no problem. use both x and y
What if there comes a situation wherein the lines don't intersect?
thanks a lot this was very helpful. I was just wondering, do you do this for science too? I mean, things like stoichiometry and equation balancing?
how would you do this with 3 products? i mean how would you plot it on the graph?
This is so helpful. My math book shows nothing like this!
Thank you very much.