calculus
posted by Bandit .
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^212.29t+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

I have no idea what you are saying.
Why are there warnings in the paper industry? 
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. 
Actually, num of employees = 1000*N