The production costs

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

Problem

The production costs, in dollars per day, of producing

x

widgets is given by

C(x)=400-3 x+2 x^{2}+0.002 x^{3}

What is the marginal cost when

x=20

and

x=75

? What do your answers tell you about the production costs?