Lagrange multiplier example, part 1

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

[danewilbanks]

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

[imaginary]

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?

[jvionlife]

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?

[smolboyi]

Thank you beautiful spark of the divine!!

[hyprion_]

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.

[EthanDyTioco]

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

[kamitube]

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

[elladmaja]

how do you construct the objective function so that you get the power of each variable?

[jeffgalef]

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.

[abderahmanealioua]

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

[yubinwang]

how did you get the revenue model, especially the powers

[ElizaberthUndEugen]

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?

[orjihvy]

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

[chrislam]

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

[shresthamall]

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

[ericbischoff]

"widgets" or "gadgets" ?

[ravishankartiwari]

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

[minhtritran]

so for minimum it can be computed by: the gradient of R equal to minus lamda times gradient of G? Im I correct here?

[victorserras]

I'm getting some Linear Programming PTSD

[kamitube]

Does it matter on which side the lamda is on?