The total production cost (in rupees) for manufacturing units satisfies for and

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

The total production cost

C(x)

(in rupees) for manufacturing

x

units satisfies

C'(x)=6x-60

for

0\le x\le 20

and

C(0)=500

. At what production level is the cost minimum in this range? (a)

x=15

units (b)

x=10

units (c)

x=0

units (d)

x=5

units