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Suppose that the cost (in dollars) for a company to produce x pairs of a new...

Suppose that the cost (in dollars) for a company to produce x pairs of a new line of jeans is described by the formula below.

C(x) = 5000 + 2x + 0.03x2 + 0.0002x3

(a) Find the marginal cost function.
C'(x) =



(b) Find C'(50).


(c) Find the actual cost of manufacturing the 51st pair of jeans. (Round your answer to two decimal places.)
$

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