The management at a plastics factory has found that the maximum number of units a worker can produce in a day is 30. The learning curve for the number N of units produced per day after a new employee has worked t days is modeled by N = 30(1 − ekt). After 20 days on the job, a new employee produces 19 units.
(a) Find the learning curve for this employee.
(b) How many days does the model predict will pass before this employee is producing 25 units per day?