Learning how to find the maximum value of an objective function
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- Опубліковано 12 лип 2024
- Learn how to solve problems using linear programming. A linear programming problem involves finding the maximum or minimum value of an equation, called the objective functions, subject to a system of inequalities, called the constraints.
To solve a linear programming problem graphically, we graph the individual inequalities making up the constraints of the linear programming problem. The region bounded by the graphs of the inequalities in the constraints is called the feasible region and the vertices of the polygon formed by the feasible region is called the corner points.
The solution to the linear programming problem is the corner point which yields the maximum/minimum value (as the case may be) of the objective function.
#systemsofequations #linearprogramming
This is THE ONLY resource that helped me understand this concept. Your channel deserves so much hype, thank you!!!
I can't seem to understand math at all
don't be hard on your self, take your time and keep working at it, I can guarantee you, it is not you
I feel you 😂
Same bro, same
A small suggestion is that you could do the whole example before hand, so that you could have most of the parts in mind before teaching, that way you will avoid many of those small mistakes and redoing it again. That helps the viewers alot, that they dont have to forget what you just said which was just a minor mistake.
Thank you! This video helped me a lot on my math exam.
It was kinda hard to understand when I didn't know well about graphing inequality, but I could understand it now. Thanks a lot!
You saving lives man even in Arab countrys , god bless you man
cheers! happy to be able to help
lol same here wallah ;(
+1
Wallahi me too bro
Nice and clear Lingo!
Thankyou ive been having trouble with this and the video really helped me
Thank you so much for helping my 16yr old understand Algebra 2 better. (And frankly me as well😂) Keep going!
Happy to help!
I really wish you were my math teacher because algebra 2 is hard
Sir we can solve the above two constraints simply by taking x= 0 one time then y= 0 the other time
Do you need to include the point (0,0) to plug into the objective function?
If I already knew what you were talking about, I could probably follow the stream of self-corrections.
Thanks dude..i had problems finding the maximum
Thanks for the great video!
you are very welcome!
I just hit chapter four and I'm on the last homework assignment with two questions like this and I'm like what how is this even relevant to our previous homework assignments. I still don't get it after watching this but your other videos in comparison were great resources to solving problems on the homework, quizzes, and tests.
Apparently, the problems I got on the homework aren't even relevant to the test or quiz I feel like I could just bomb this homework assignment I mean it's only 8 points.
Mood bro but I got to get this done 😭
thank you for making this video :) math is fun but hard.
Hey can you find it without graphing? We have an online math exam and we wont have to graph it
You made It complicated there are easy methods
this KING. 1:01 2:09 3:02 3:12 3:50 4:31 4:40 5:06 6:26 6:54
1:54 I think you counted "3, 1, 2, 3" and you went down 4 in the y axis, not 3.
Also, do you have a similar video but one of the constraints is a circle?
What happpens if we include y is greater than 0 and x is greater than 0.Why
u have selected decimal points for the objective function but i think we can take only integer values. Am i right?
Can you do it without the graph?
Why for the second function did you go down 1 over 2, but for the first one you went down 3 over 1? Can you explain the difference?
Renee Ramirez because they each had different gradients (m)
2:10
realerdealers ops
Life saver😪
@2:05 you seemed to skip that 1 line, you counted 4 instead of 3...
How do we know that one of the vertices of the shaded region must give coordinates for which P is the greatest?
test point
@@brianmclogan what do you mean by test point?
plug in a point into the inequality, if it makes it true then it is apart of the solution
@@brianmclogan I'm still confused. Sorry to be bothering you, I think there's some misunderstanding here. What I'm asking is, how do we know beforehand that the greatest value will always happen at one of the corners? Why doesn't some point in the middle of the region give the greatest value of P?
@@typo691The thing is, since both x and y are positive numbers, we want to maximise both as much as possible to get the maximum value. Going down the middle lane won't do that, because there's still some room to maximize either x and y without "cannibalising" the values of each other.
Me when I realize I've been doing it wrong. 2:09
Yep
What do you call guys who love math
Algebros
or just use dezmos lmao its much much easier xD
You're not teaching beginners (and I mean beginners to Statistics) you're teaching intermediates
Therefore, the video is fit for only intermediates and up.
Things were pretty good until after you identified the two points (1, 4)--roughly 5:53--and then I couldn't follow it any more.
This concept is a hard one. What grade is this taught?
@@divyoroy9056 11th grade
Its ok, follow along with a piee of paper and focus on what you dont understand!
I understand but I have a question what is maximum minimum property in an inequalities w/c is R=ax+bx
didn't help at all because you kept shifting X and Y locations. X is always first, Y is always second, Z is always 3rd. X is left/right, Y is up/down. and you kept going back and forth. nothing like confusing folks on the fly.....
gulo mo utak kU huhu
Bat ka po pala napadpad dituuu???
for CETs po heheheheheheheeheheheh
Kon kon JEE ki tayari kr ra h
I fricking hate math
I get it
How can a channel with a completely unprepared, unprofessional, ungifted lecturer have so many followers? Those concepts are basic. He gets stuck at literally simplest things.
True, he even made a mistake without even giving it a glance.