A manufacturer’s cost (in thousands of rupees) for producing units of an item is…

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

Problem

A manufacturer’s cost (in thousands of rupees) for producing

x

units of an item is given by

C(x)=x^{3}-6x^{2}+9x+2, \quad 1\le x\le 4.

The number of units that minimises the cost on this interval is (a)

2

(b)

3

(c)

1

(d)

4