The new employee produce number of units in  days is .

(a)

After  days the worker produce .

Substitute  and  in .

Apply natural logarithm on each side.

.

Substitute  in .

.

The learning curve for new employee is .

(b) How many days should pass before new worker is producing  per day.

The worker produce  per day.

Apply natural logarithm on each side.

.

(a) The learning curve for new employee is .

(b) .