Author Question: Management at a factory has found that the maximum number of units a worker can produce in a week is ... (Read 31 times)

future617RT · **on:** Jun 16, 2021

Question 1

Initially, a population of rabbits was found to contain 192 rabbits. It was estimated that the population was growing exponentially at the rate of 10% per day. Estimate the population after 52 days.
◦ 181
◦ 355
◦ 34,804
◦ 3229

Question 2

Management at a factory has found that the maximum number of units a worker can produce in a week is given by P(t) = 51 (1 - e^{- 0.3t}), where t is the number of weeks the worker has been on the job. Find the rate of change P'(t).
◦ P'(t) = 51 (1 + 0.3e^{- 0.3t})
◦ P'(t) = 15.3 e^{- 0.3t}
◦ P'(t) = 51 e^{- 0.3t}
◦ P'(t) = - 15.3 e^{- 0.3t}

cloud · **Reply #1 on:** Jun 16, 2021

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