(Solution Library) MANUFACTURING COST At a certain factory, the total cost of manufacturing q units is C(q)=0.2 q^2+q+900 dollars. It has been determined that


Question: MANUFACTURING COST At a certain factory, the total cost of manufacturing \(q\) units is \(C(q)=0.2 q^{2}+q+900\) dollars. It has been determined that approximately \(q(t)=t^{2}+100 t\) units are manufactured during the first \(t\) hours of a production run. Compute the rate at which the total manufacturing cost is changing with respect to time 1 hour after production commences.

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