Problem 1. [12 points] Consider a transit
line of length L with n equally spaced stations and a terminal. The
first of the n stations (n = 1) lies at one end of the line; the
terminal lies at the opposite end. The daily cost of providing
transit service is C1/X + C2X2 ($/day), where constants C1, C2 >
0 and X is the distance between each station; (X is also the
distance between the terminal and station number n). Determine n*,
the number of transit stations (excluding the terminal) that
minimizes total cost per day. Write the expression for n* in terms
of the variables given.
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I know how to set up the problem and I know I have to take
the first derivative and set it equal to 0. However I'm not sure
how. Can you explain how to solve this? Thanks
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cee155-sp05-mt1-Cassidy-exam
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This question was answered on: Sep 05, 2019
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