Consider the cost function defined for

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

Problem

Consider the cost function

C(x)=5x+\dfrac{100}{x}

defined for

1\le x\le 20

. For which value of

x

in this interval is the cost minimized? (a)

20

(b)

5

(c)

\sqrt{20}

(d)

1