Problem 30E

30. The cost function for a certain commodity is

$$ C(q)=84+0.16 q-0.0006 q^{2}+0.000003 q^{3} $$

(a) Find and interpret $C^{\prime}(100)$.

(b) Compare $C^{\prime}(100)$ with the cost of producing the 101st item.

Step-by-Step Solution