A manufacturer’s cost (in dollars) to produce units is modeled by C(p)= cases 0.5p^ 2…

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

Problem

A manufacturer’s cost (in dollars) to produce

p

units is modeled by

C(p)=\begin{cases}0.5p^{2}+60,&0\le p\le 20,\\20p+100,&20<p\le 40.\end{cases}

Identify the production level

p

(to the nearest whole unit) that minimizes the cost on the interval

0\le p\le 40