A company’s daily production cost

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

A company’s daily production cost, in thousands of dollars, is modeled by

C(p)=p^{3}-6p^{2}+15p+50

where

p

is the number of hundreds of units produced, restricted to

0\le p\le 6

. Determine the production level

p

that minimizes the cost.