Find the number of hours before the rate of production is, Basic Computer Science

Find the number of hours before the rate of production is

Production suppose that the total number of units produced by a worker in t hours of an 8-hour shift can be modeled by the production function P(t);

P(t) = 27t + 12t² - t³

(a) Find the number of hours before production is maximized.

(b) Find the number of hours before the rate of production is maximized. That is, find the point of diminishing returns.

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Basic Computer Science: Find the number of hours before the rate of production is

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