Learning Curve The management at a certain factory has found that the maximum number of units a worker can produce in a day is 75. The rate of increase in the number of units N produced with respect to time t in days by a new employee is proportional to
(a) Determine the differential equation describing the rate of change of performance with respect to time.
(b) Solve the differential equation from part (a).
(c) Find the particular solution for a new employee who produced 20 units on the first day at the factory and 35 units on the twentieth day.
