March 28, 2017

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A forest fire is buring down a narrow valley 3 miles wide at a speed of 40 feet per minute. The fire can be contained by cutting a firebreak through the forest across the valley. It takes 30 seconds for one person to clear one foot of the firebreak. The value of lost timber is $4000 per square mile. Each person hired is paid $12per hour, and it costs $30 to trasnport and supple each person with the appropriate equipment. Develop a model for determining how many people should be sent to contain the fire and determining the best location for the firebreak.

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