Optimization question:
Town A is 11miles from a straight river and town B is 6 miles from that same river. The distance from town ! to town B, both towns are on the same side of the river, is 13 miles. A pumping station is to be build along the river to supply water to both towns. Where should the pumping station be built so that the sum of the distance from the pumping station to the town is a minimum?

Question

Optimization question:
Town A is 11miles from a straight river and town B is 6 miles from that same river. The distance from town ! to town B, both towns are on the same side of the river, is 13 miles. A pumping station is to be build along the river to supply water to both towns. Where should the pumping station be built so that the sum of the distance from the pumping station to the town is a minimum?

jonnyvonny · Answer

|dw:1386289856750:dw| This is as far as I got :/