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Mathematics, 03.05.2021 19:20 browneyedbaby20

Can someone plz help me with this one problem plz


Can someone plz help me with this one problem plz

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If p(x) is the total value of the production when there are x workers in a plant, then the average productivity of the workforce at the plant is a(x) = p(x) x . (a) find a'(x). a'(x) = xp'(x) βˆ’ p(x) x a'(x) = xp'(x) βˆ’ p(x) x2 a'(x) = p'(x) βˆ’ p(x) x a'(x) = xp'(x) βˆ’ p'(x) x2 a'(x) = p'(x) βˆ’ xp(x) x2 why does the company want to hire more workers if a'(x) > 0? a'(x) > 0 β‡’ a(x) is ; that is, the average productivity as the size of the workforce increases. (b) if p'(x) is greater than the average productivity, which of the following must be true? p'(x) βˆ’ xp(x) > 0 p'(x) βˆ’ xp(x) < 0 xp'(x) βˆ’ p'(x) > 0 xp'(x) βˆ’ p(x) < 0 xp'(x) βˆ’ p(x) > 0
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