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The performance level of someone learning a skill P(t) is a function of the training time t and given by the differential equation dP dt = k(M − P(t)), where k is a positive constant.

The performance level of someone learning a skill P(t) is a function

of the training time t and given by the differential equation dP dt = k(M − P(t)), where k is a positive constant. Two new workers were hired for an assembly line. Jim processed 25 units during the first hour and 43 units during the second hour. Mark processed 31 units during the first hour and 47 units the second hour. Estimate the maximum number of units per hour that each worker is capable of processing. Assume that P(0) = 0.

 
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