1. A corporation has two industrial plants A and B located 18 km apart. Each day plant Aemits 80 ppm (parts per million) of a particulate matter and plant B emits 720 ppm ofthe same particulate matter. Plant A is surrounded by a restricted area of radius 1 km,in which no housing is allowed, while the restricted area around plant B has a radius of 2km. Environmentalists estimate that the concentration of particle matter arriving at anyother point from each plant decreases proportional to the reciprocal of the distancebetween that plant and Q.If the corporation would like to build a headquarter building on a straight road joiningthe plants A and B, where should the building be located to minimize the total concen-tration of the particulate matter arriving from both plants?Calculate the total concentration of the particulate matter that would be arriving to theheadquarter from both plants.

Let x be distance from A to Q. so, total concentration of particular matter at Q be P(x).…

Answered: 1. A corporation has two industrial…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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