Solution: What is the speed which will make the cost per mile a minimum?

The cost fuel in running a locomotive is proportional to the square of the speed and is $25 per hour for a speed of 25 miles per hour. Other costs amount to $100 per hour, regardless of the speed. What is the speed which will make the cost per mile a minimum?

What is the speed which will make the cost per mile a minimum?

Problem Statement: EE Board April 1997

The cost fuel in running a locomotive is proportional to the square of the speed and is $25 per hour for a speed of 25 miles per hour. Other costs amount to $100 per hour, regardless of the speed. What is the speed which will make the cost per mile a minimum?
  • A. 40 mph
  • B. 55 mph
  • C. 50 mph
  • D. 45 mph

Problem Answer:

The speed which will make the cost per mile a minimum is 50 mph

Solution:

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