April 18, 2014

Homework Help: math - marginal analyis

Posted by becky on Sunday, August 13, 2006 at 10:31pm.

A factory's output is Q=600K^1/2L^1/3 units, (read 600 x K to the 1/2 power x L to the 1/3 power). K denotes capital investment and L denotes the size of the labor force. Estimate the percentage increase in output that will result in a 2% increase in the size of the labor force if capital investment is not changed.

Q = 600K^1/2L^1/3
Q' = 300K^-1/2L-2/3 (read 300 x K to the negative 1/2 power x L to the negative 2/3 power.)

Percentage Change equation

I'm not sure if this is correct so far and where do I go from here?

Your derivative should be with respect to labor force L.

Q = 600(K^1/2)*(L^1/3)
200(K^1/2) (L^-2/3)
check that.

Percent change..
check that.

And from there..
percent change=1/3*1/L*dL]
= 1/3 (dL/L) where you are given

comments? check it all, it is hard to type an error when in ASCII

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