A factory is to be connected by a road with a straight railway line on which a town…

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

Problem

A factory

D

is to be connected by a road with a straight railway line on which a town

A

is situated. The distance

DB

of the factory to the railway line is

5\sqrt{3}

km. Length

AB

of the railway line is 20 km. Freight charges on the road are twice the charges on the railway. The point

P

(

AP < AB

) on the railway line should the road

DP

be connected so as to ensure minimum freight charges from the factory to the town is (a)

BP = 5

km (b)

AP = 5

km (c)

BP = 7.5

km (d) none of these