At a certain factory, approximately q(t) t 2 50t units are manufactured during the first t hours of a production run, and the total cost of manufacturing q units is C(q) 0 1q 2 10q 400 dollars Find the rate at which the manufacturing cost is changing with respect to time 2 hours after production commences

Question: At a certain factory, approximately q(t) = t 2 + 50t units are manufactured during the first t hours of a production run, and the

At a certain factory, approximately q(t) = t² + 50t units are manufactured during the first t hours of a production run, and the total cost of manufacturing q units is C(q) = 0.1q² + 10q + 400 dollars. Find the rate at which the manufacturing cost is changing with respect to time 2 hours after production commences.

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