**QUIZ #8 SOLUTION
**

**
The daily output of a worker who has been on the job for t weeks is
given by a function of the form . Initially the
worker could produce 20 units a day, and after 1 week the worker
can produce 30 units a day.
**

**How many units will the worker produce per day after 3 weeks?**First use

*Q*(0)=20 to find*A*:Now we know that . Use

*Q*(1)=30 to find :Now we know that . Find

*Q*(3):**How many units will the worker produce per day in the long run?**What value does

*Q*(*t*) approach as*t*approaches infinity? As*t*approaches infinity, approaches 0, so approaches 40-20(0)=40 units a day.

Fri Nov 6 09:35:16 EST 1998