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:

Latest Problem Solving in Differential Calculus (MAXIMA-MINIMA & TIME RATES)

More Questions in: Differential Calculus (MAXIMA-MINIMA & TIME RATES)

Online Questions and Answers in Differential Calculus (MAXIMA-MINIMA & TIME RATES)


Search! Type it and Hit Enter


We educate thousands of students a week in preparation for their licensure examinations. We provide professionals with materials for their lectures and practice exams. To help us go forward with the same spirit, contribution from your side will highly appreciated. Thank you in advance.


Post a Comment

Contact Form

Name

Email *

Message *

Powered by Blogger.
Javascript DisablePlease Enable Javascript To See All Widget
Real Time Web Analytics