The cost (in dollars) of producing meters of copper wire is modeled by

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

The cost (in dollars) of producing

x

meters of copper wire is modeled by

C(x)=0.05x^{2}+20x

. Determine the instantaneous rate of change of cost when

x=100

meters have been produced, and include appropriate units.