A manufacturer’s average cost per item

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

Problem

A manufacturer’s average cost per item, in dollars, is modeled by

C(q)=\dfrac{0.02q^{2}+30q+5000}{q}

for a production level of

q

items (

q>0

). Determine the production level

q

that minimizes the average cost.