Let P(t) be the performance level of someone learning a skill as a function of the training time t. The derivative dP/dt represents the rate at which performance improves. If M is the maximum level of performance of which the learner is capable, then a model for learning is given by the differential equation dP/dt= k(M-P(t))
where k is a positive constant. Two new workers, John and Bob, were hired for an assembly line. John could process 11 units per minute after one hour and 13 units per minute after two hours.

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