# calculus

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based on data from 1995 to 1999, the average annual warnings in the paper and allied products manufacturing industry may be maodeled by
E(t)=1335t+39408 dollars per employee
and the average number of emplyees in the same industry cab be modeled by
N(t)=t^3+5.571t^2-12.29t+684.9 thousand emplyees
where t is the number of years since 1995
in 1999, at what rate was employers spending on paper and allied products manufacturing industry emplyee earning increasing

• calculus -

I have no idea what you are saying.
Why are there warnings in the paper industry?

• calculus -

Hmmm. Let's say "earnings" instead of "warnings" and all becomes clear.

E(t) = earnings/employee

earnings = earnings/employee * employees

So, we want P(t) = E(t)*N(t) for total earnings

P' = E'N + EN'

go for it. These are just simple polynomials.

• calculus -

Actually, num of employees = 1000*N

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