At a Certain Factory, the Total Cost of Manufacturing Q $C ( q ) = 0.3 q ^ { 2 } + 0.8 q + 800$

Short Answer

At a certain factory, the total cost of manufacturing q units during the daily production run is $C ( q ) = 0.3 q ^ { 2 } + 0.8 q + 800$ dollars. It has been determined that approximately $q ( t ) = t ^ { 2 } + 80 t$ 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 2 hours after production begins.