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 Post subject: Use differentiation determine marginal change. Help solve!Posted: Wed, 17 Mar 2010 19:30:00 UTC

Joined: Tue, 9 Feb 2010 23:36:02 UTC
Posts: 7
A person's productivity at a particular job may change with experience. Con-
sider the following model of effective labor input, L,

L=10(1-e^(-.1t))+2 e=2.71...

Where L is a measure of the "effective labor input" of a particular worker and t is
the worker's tenure (that ism years spent in a particular job). Use differentiation
to determine the marginal change in the effective labor input with respect to
time on the job, t. Provide a brief economic interpretation of the di erences in
these values of dL/dt.

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 Post subject: Posted: Thu, 18 Mar 2010 13:03:24 UTC
 Member of the 'S.O.S. Math' Hall of Fame

Joined: Tue, 13 Mar 2007 09:00:13 UTC
Posts: 534
Let's start by taking the derivative of L.

I get:
dL/dt = e^(-.1t)

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