Question: Two industrial plants, A and B, are located 18 miles apart, and each day, respectively, emit 80 ppm (parts per million) and 720 ppm of

Two industrial plants, A and B, are located 18 miles apart, and each day, respectively, emit 80 ppm (parts per million) and 720 ppm of particulate matter. Plant A is surrounded by a restricted area of radius 1 mile, while the restricted area around plant B has a radius of 2 miles. The concentration of particulate matter arriving at any other point Q from each plant decreases with the reciprocal of the distance between that plant and Q. Where should a house be located on a road joining the two plants to minimize the total concentration of particulate matter arriving from both plants?

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