Solved: Learning Curve The management at a certain factory has found that the maximum

Chapter 6, Problem 36

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Learning Curve The management at a certain factory has found that the maximum number of units a worker can produce in a day is 40. The rate of increase in the number of units produced with respect to time 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 10 units on the first day at the factory and 19 units on the twentieth day.

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