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Suppose that the total number of units produced by a worker in t hours of an...

Suppose that the total number of units produced by a worker in t hours of an 8-hour shift can be modeled by the following production function.

P(t) = 135t + 9t2 − 3t3

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

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

Math   Calculus   
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