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

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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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