The cost per hour of running a freight train is given by C(v) where v is the average speed of the train. aFind the cost of running the train for: two hours at 15 kmph # 5 hours at 24

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
C(v) = 10v +
90
dolla
The cost per hour of running a freight train is given by
where e is the average speed of the train.
a Find the cost of running the train for:
two hours at 15 kmph
5 hours at 24 kmph.
b Find the rate of change in the cost of running the train at speeds of:
I 10 kmph
6 kmph.
c At what speed will the cost be a minimum?
Transcribed Image Text:C(v) = 10v + 90 dolla The cost per hour of running a freight train is given by where e is the average speed of the train. a Find the cost of running the train for: two hours at 15 kmph 5 hours at 24 kmph. b Find the rate of change in the cost of running the train at speeds of: I 10 kmph 6 kmph. c At what speed will the cost be a minimum?
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