Answered step by step
Verified Expert Solution
Question
1 Approved Answer
4. A forest fire is burning in a valley. Officials estimate that if the fire burns for h hours, the cost of the lost timber
4. A forest fire is burning in a valley. Officials estimate that if the fire burns for h hours, the cost of the lost timber is 1000/ dollars. They estimate that x firefighters can stop the fire in 3600 hours. The cost for each firefighter is $20 (for transportation) plus $25 per hour (for salary, meals, and other overhead). A. Let C be the cost of the fire (including the cost of the firefighters and the lost timber). C will depend on both h (how many hours the fire burns) and x (the number of firefighters sent to fight it). Give a formula for C in terms of x and h.B. Give a formula that relates x and h. C. How many firefighters should be used if the cost C of the fire is to be minimized? Justify your solution
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started