Analysis of daily output of a factory during a 8-hour shift shows that the hourly number of units y produced after t hours of production is y = 102t +  1 2t2 − t3,    0 ≤ t ≤ 8. (a) After how many hours will the hourly number of units be maximized?  hr (b) What is the maximum hourly output?  units/hr

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