EXPF20 A microchip production line has a theoretical maximum output of 400 chips per day.  The factory production managers know from experience that new microchip production lines reach maximum production according to

where R is in hundreds of chips per day.

Sketch the function and find the production rate on the first day of operation, the tenth day of operation, and finally, the maximum rate of production.

Take t = 0 for the first day of production so we have

Take t = 10 for the tenth day of production so

As t goes to infinity, the denominator in the rate equation goes to 1 and the maximum rate  goes to 400 chips per day.