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A factory D is to be connected by a road...

A factory `D` is to be connected by a road with a straight railway line on which a town `A` is situated. The distance `D B` of the factory to the railway line is `5sqrt(3)k mdot` Length `A B` of the railway line is 20km. Freight charges on the road are twice the charges on the railway. The point `P(A P < A B)` on the railway line should the road `D P` be connected so as to ensure minimum freight charges from the factory to the town is `B P=5k m` (b) `A P=5k m` `B P=7. 5k m` (d) none of these`

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