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.
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):
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.