Analysis of daily output of a factory shows that, on average, the number of units per hour

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Analysis of daily output of a factory shows that, on average, the number of units per hour y produced after t hours of production is

y = 70t + 0.5t2 - t3, 0 ≤ t ≤ 8

(a) Find the critical values of this function.

(b) Which critical values make sense in this particular problem?

(c) For which values of t, for 0 ≤ t ≤ 8, is y increasing?

(d) Graph this function.

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