A manufacturer models the cost (in dollars) of producing thousand units by C(x)=x^ 3…

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

A manufacturer models the cost (in dollars) of producing

x

thousand units by

C(x)=x^{3}-9x^{2}+18x+10,

where

0\le x\le 6

. Which production level yields the least cost? (a) Approximately

1.3

thousand units (b) Approximately

4.7

thousand units (c) Exactly

3

thousand units (d) Exactly

6

thousand units