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Optimization Problem: Towns A and B want to draw water from the same pumping station; their positions are shown below. At what point along the river should the pumping station be located so as to minimize the length of the pipeline?
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total distance would be \(d = d_1 + d_2\) now, you know your constraing is 7 miles so this is wat u need to keep in mind. and ur range must be from 0<x<7 miles
use pythagoreas theorem to find the length of the sides.
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