Lagrange multiplier example, part 1

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Lagrange multiplier example, part 1

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Күн бұрын

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A Lagrange multipliers example of maximizing revenues subject to a budgetary constraint.

Пікірлер: 40

@danewilbanks1 7 жыл бұрын

The literal perfect timing for this video release, thank you!!

@y__h 7 жыл бұрын

3blue1brown!

@victoraguiar5021 3 жыл бұрын

Thank you Grant, we love you

@AvinashSingh-bk8kg 3 жыл бұрын

Heaven for Mathematics !

@jvionlife6706 4 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?

@adarshagrawal5858 3 жыл бұрын

Yes definately as langrange multiplier(lambda) is only the ratio of thier magnitude.

@imaginary8168 4 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?

@smolboyi 6 жыл бұрын

Thank you beautiful spark of the divine!!

@naman4067 2 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.

@abderahmanealioua9291 6 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

@yubinwang7957 7 жыл бұрын

how did you get the revenue model, especially the powers

@Schaschlik345 7 жыл бұрын

He didn't get it, it's an example!

@krisdang 7 жыл бұрын

by knowing how to make stuff up :| :|

@kamitube1059 4 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

@ElizaberthUndEugen 7 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?

@samirkhan6195 9 ай бұрын

Because that's where the revenue function attains its maximum value while satisfying the constraint function (budget) at the same time.

@user-or7ji5hv8y 3 жыл бұрын

What happens if you have multiple contours that can satisfy some constraint. Can this approach still work?

@jeffgalef121 6 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.

@yunfeizhao6647 2 жыл бұрын

Check Cobb-Douglas production function in economics! This is only one type of production function, but possibly the easiest to deal with

@EthanDyTioco 7 жыл бұрын

Oh hey I'm about to go over this. Might be next lecture

@chrislam1341 4 жыл бұрын

how can u be sure that both gradients have the same direction..?

@MattiaManzini 3 жыл бұрын

It's an assumption/condition for tangency. Just take it as it is ahah

@ericbischoff9444 6 жыл бұрын

"widgets" or "gadgets" ?

@OthmanAlikhan 7 жыл бұрын

Thanks for the video =)

@shresthamall9460 6 жыл бұрын

The derivative of a^x is (a^x-1)/ln(a).

@naman4067 2 жыл бұрын

So what

@minhtritran308 7 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?

@ravishankartiwari6785 7 жыл бұрын

Sir, can you explain us why does this method works graphically

@Fematika 7 жыл бұрын

He did...

@smolboyi 6 жыл бұрын

lol

@amaljeevk3950 Жыл бұрын

❤

@akirabrr 5 жыл бұрын

162000 views and 19 comments? how?

@MahmoudM10 5 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)

@kamitube1059 4 жыл бұрын

Does it matter on which side the lamda is on?

@samirkhan6195 9 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...

@victorserras 5 жыл бұрын

I'm getting some Linear Programming PTSD

@amaljeevk8903 Жыл бұрын

🥰