Courses on Khan Academy are always 100% free. Start practicing-and saving your progress-now: www.khanacadem... A Lagrange multipliers example of maximizing revenues subject to a budgetary constraint.
Пікірлер: 40
@danewilbanks17 жыл бұрын
The literal perfect timing for this video release, thank you!!
@y__h7 жыл бұрын
3blue1brown!
@victoraguiar50213 жыл бұрын
Thank you Grant, we love you
@AvinashSingh-bk8kg3 жыл бұрын
Heaven for Mathematics !
@jvionlife67064 жыл бұрын
Hey i love your 3Blue1Brown and it has taught me so so much. I was curious if you could answer. If we know the domain is being restricted by the g(x,y), and we are interested in finding where df(x,y) = dg(x,y) are in the same direction, can we just convert both to unit vectors? Would that also answer the question? since it will find where the direction is the same for both?
@adarshagrawal58583 жыл бұрын
Yes definately as langrange multiplier(lambda) is only the ratio of thier magnitude.
@imaginary81684 жыл бұрын
Can't we just calculate h or s from the 2nd equation, move it to the 1st one and simply check when the derivative is 0?
@smolboyi6 жыл бұрын
Thank you beautiful spark of the divine!!
@naman40672 жыл бұрын
👍
@elladmaja423 Жыл бұрын
how do you construct the objective function so that you get the power of each variable?
@hyp3rion_4 жыл бұрын
where is dependency between 1 ton of steel and hours needed to be spent to make widgets from it. In this example those seems to be independent.
@abderahmanealioua92916 жыл бұрын
Hello, your videos it's very interesting and i was studying from your videos and it's very helpful for me because i study in Russia and i'm from Algeria also i have problem with Russian language, that's why please can i have some lessons about Mayer functional , Bolza functional and taylor also ,,, and thank you so much fro you help
@yubinwang79577 жыл бұрын
how did you get the revenue model, especially the powers
@Schaschlik3457 жыл бұрын
He didn't get it, it's an example!
@krisdang7 жыл бұрын
by knowing how to make stuff up :| :|
@kamitube10594 жыл бұрын
Bit confused here. On my homework, teacher basically put production function as constraint and total cost as revenue function. Which seems to be opposite of this video
@ElizaberthUndEugen7 жыл бұрын
why would the maximum revenue be a point above where the budget line touches some contour line and not possibly some point above a pint below or on the budget line?
@samirkhan61959 ай бұрын
Because that's where the revenue function attains its maximum value while satisfying the constraint function (budget) at the same time.
@user-or7ji5hv8y3 жыл бұрын
What happens if you have multiple contours that can satisfy some constraint. Can this approach still work?
@jeffgalef1216 жыл бұрын
Could you make a video on how the analysts might have come up the revenue equation? I know this was made up, by I am curious as to the methodology of how one might actually do that. Curve-fitting would be my guess.
@yunfeizhao66472 жыл бұрын
Check Cobb-Douglas production function in economics! This is only one type of production function, but possibly the easiest to deal with
@EthanDyTioco7 жыл бұрын
Oh hey I'm about to go over this. Might be next lecture
@chrislam13414 жыл бұрын
how can u be sure that both gradients have the same direction..?
@MattiaManzini3 жыл бұрын
It's an assumption/condition for tangency. Just take it as it is ahah
@ericbischoff94446 жыл бұрын
"widgets" or "gadgets" ?
@OthmanAlikhan7 жыл бұрын
Thanks for the video =)
@shresthamall94606 жыл бұрын
The derivative of a^x is (a^x-1)/ln(a).
@naman40672 жыл бұрын
So what
@minhtritran3087 жыл бұрын
so for minimum it can be computed by: the gradient of R equal to minus lamda times gradient of G? Im I correct here?
@ravishankartiwari67857 жыл бұрын
Sir, can you explain us why does this method works graphically
@Fematika7 жыл бұрын
He did...
@smolboyi6 жыл бұрын
lol
@amaljeevk3950 Жыл бұрын
❤
@akirabrr5 жыл бұрын
162000 views and 19 comments? how?
@MahmoudM105 жыл бұрын
I think it's embedded in their website, so this shows all the views but not all the comments (some maybe on their website)
@kamitube10594 жыл бұрын
Does it matter on which side the lamda is on?
@samirkhan61959 ай бұрын
No it doesn't, all that matters is that both the gradient vectors are linearly dependent , and \lambda is the scaling factor which equate them...