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

#### Problem Statement: EE Board April 1997

The cost of 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

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

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