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A factory D is to be connected by a highway with a straight railway on which a town A is situated. The distance DB from the factory to the railway is equal to a and the sagment AB of the railway is l long. freight charges on the highway are m (>1) times higher then that on the railway. Locate the point P between A and B such that the highway DP will ensure the least freight charges from factory to the town.

A factory D is to be connected by a highway with a straight railway on which a town A is situated. The distance DB from the factory to the railway is equal to a and the sagment AB of the railway is l long. freight charges on the highway are m (>1) times higher then that on the railway. Locate the point P between A and B such that the highway DP will ensure the least freight charges from factory to the town.

Grade:12

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