5. On the same side of a straight river are two towns, and the towns' people want to build a pumping station that supplies water to them. The pumping station is to be at the river's edge with pipes extending straight to the two towns. (See the diagram below for locations of the towns). Where should the pumping station be located to minimize the total length of pipe?
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Place the two towns on the same side of the river and mark the locations of the towns. Identify the river and the pumping station location at the river's edge. Show more…
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On the same side of a straight river are two towns, Town A and Town B, as shown. A pumping station, S, is to be built at the river's edge with pipes extending straight to the two towns. Where should the station be located, i.e. determine x, to minimize the total length of pipe?
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On the same side of a river are two towns, and the townspeople want to build a pumping station. The pumping station is to be at the river's edge (point S in the figure below) with pipes extending straight to the two towns. The townspeople want to minimize the total length of pipe connecting the two towns to the pumping station.
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