Analysis of daily output of a factory during an 8-hour shift shows that the hourly number of

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Analysis of daily output of a factory during an 8-hour shift shows that the hourly number of units y produced after t hours of production is y=70t + ½ t2 - t3, 0 ≤ t ≤8
(a) After how many hours will the hourly number of units be maximized?
(b) What is the maximum hourly output?
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