# 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 51 units the second hour. Estimate the maximum number of units per hour that eachworker is capable of processing. Assume that P(0) = 0.

1. 85 for Jim and 89 for Mark

2. 89 for Jim and 87 for Mark

3. 80 for Jim and 83 for Mark

4. 91 for Jim and 81 for Mark

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