Question: A time study showed that, on average, the productivity of a worker after t hours on the job can be modeled by P = 27t

A time study showed that, on average, the productivity of a worker after t hours on the job can be modeled by P = 27t + 6t2 - t3 , 0 ≤ t ≤ 8 where P is the number of units produced per hour. After how many hours will productivity be maximized? What is the maximum productivity?

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