Multivariable optimiziation?
I have an equation that is rather unwieldy, but can be simplified greatly to k=2n*x*y/(x+y) through substitution of its parts. I have calculated the partial derivatives of k with respect to n, x, and y, and they are the same as the partial derivatives of the original equation (with the exception of a constant factor of 1/100 for the partial derivative of n), and plugging the substitutions back into the equations has given me a set of related rates. I can tell how quickly k increases by increasing any of the other three variables at any one point.
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Ah, size limits. I'll post the rest of it.

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