F is a function(adsbygoogle = window.adsbygoogle || []).push({});

F = (x^a)(y^b)(z^c)

x + y + z = 100

The problem? Maximize F : solve for x, y and z in terms of a, b, and c

Someone said something about gradients, so...

ax^(a-1)*(y^b)*(z^c)=0

by^(b-1)*(x^a)*(z^c)=0

cz^(c-1)*(x^a)*(y^b)=0

x+y+z=0

Assuming that's correct... but where do I go from there?

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# Homework Help: Calc Help!

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