The cost (in dollars) to manufacture units of a product is modeled by

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

The cost (in dollars) to manufacture

q

units of a product is modeled by

C(q)=200+0.05q^{2}

. What is the instantaneous rate of change of cost when

q=100

units, and what are the appropriate units? (a)

5

dollars per unit (b)

10

dollars per unit (c)

10.05

dollars per unit (d)

0.1

dollars per unit