# calculus

posted by .

A forest is burning in a valley. it is estimated that if the fire burns for h hours, the cost of the lost timber is 1000h dollars. They estimate that x firefighters can stop the fire in 3600/x hours. The cost for each firefighter is \$20 (transportation)plus \$25 per hour (salary/ food).
A. Let C be the cost of the fire. C will depend on both h and x . Give a formula for C in terms of x and h.
B. Give a formula that relates x and h.
C. How may firefighters should be used if the cost C of the fire is to be minimized?

## Similar Questions

1. ### Statistics

A forest fire is burning 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 …
2. ### statistics

A forest fire is burning 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 …
3. ### Math

two forest fire stations,P and Q are 20.0 km apart, A ranger at station Q sees a fire 15.0 km away, if the angle between line PQ and the line form P to the fire is 25 , how far to the nearest tenth of a kilometre is statin P from the …
4. ### Statistics

A forest fire is burning 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 …
5. ### Decision modeling

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 …
6. ### accounting

Lisa school supplies suffred a fire loss. The company needs to estimate the cost of good destroyed. Beginning inventory was 100,000 purchases totaled 600,000 and sales came equaled 1,000,000. Lisa normal gross profit percentage is …
7. ### calculus

A forest is burning in a valley. it is estimated that if the fire burns for h hours, the cost of the lost timber is 1000h dollars. They estimate that x firefighters can stop the fire in 3600/x hours. The cost for each firefighter is …
8. ### calculus

A forest is burning in a valley. If the fire burns for h hours, the cost of the lost timber is 1000h dollars. They estimate that x firefighters can stop the fire in 3600/x hours. The cost for each firefighter is \$20 (transportation)plus …
9. ### Physics

A brush fire is burning on a rock ledge on one side of a ravine that is 20 m wide. A fire truck sits on the opposite side of the ravine at an elevation 6.5 m above the burning brush. The fire hose nozzle is aimed 35∘ above horizontal, …
10. ### math

Two fire towers, A and B, are 20.3 km apart. From tower A, the compass heading for tower B is S80E. The ranger in each tower sees the same forest fire. The heading of the fire from tower A is N50E. The heading of the fire from tower …

More Similar Questions