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 1000h dollars. They estimate that x firefighters can stop the fire in hours. The cost for each firefighter is $20 (for transportation) plus $25 per hour (for salary, meals, and other overhead). 3600 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.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CM: Cumulative Review Problem Set
Problem 114CM
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Please answer A)-C) correctly.
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 1000h dollars. They estimate that x firefighters can stop the fire in
hours. The cost for each firefighter is $20 (for transportation) plus $25 per hour (for salary,
meals, and other overhead).
3600
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.
Transcribed Image Text: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 1000h dollars. They estimate that x firefighters can stop the fire in hours. The cost for each firefighter is $20 (for transportation) plus $25 per hour (for salary, meals, and other overhead). 3600 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.
Transcribed Image Text: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.
Expert Solution
Step 1

Here, given that the lost timer cost is CT=1000h dollars where h is time in hour.

Now, the number of firefighters is x.

 

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