A manufacturer’s cost (in dollars) to produce units of a product is given by for

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

A manufacturer’s cost (in dollars) to produce

q

units of a product is given by

C(q)=0.5q^{3}-6q^{2}+15q+100

for

q\ge 0

. At what production level does the marginal cost change from decreasing to increasing? (a)

q=6

(b)

q=4

(c)

q=2

(d)

q=8