A company’s cost function (in dollars) for producing units is for

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

Problem

A company’s cost function (in dollars) for producing

x

units is

C(x)=0.05x^{3}-2x^{2}+30x+700

for

0\le x\le40

. Determine the production level

x

at which the cost curve has a point of inflection within this interval.