A company owns a plot of land with a forest on it. They want to install firebreaks, which are sections of the forest that are cut out. this way if a fire starts, it won't destroy the whole forest. anyways. the land is 4 miles by 6 miles. the firebreaks will be evenly spaced, and are .1miles long. find the best number n which will minimize (using calculus) the area lost by a fire. that is, minimize the sum of the area of forest in one stand of trees and the total area of all firebreaks.
then minimize the revenue lost if a fire occurs. it costs $15,000 per square mile for creating the firebreaks. areas of the forest unaffected by the fire are worth $40,000. below is an example of the forest where n=3. any help is greatly appreciated, especially the work for a solution!