Define F(N) = Min ((N- floor(N)), (ceil(N) – N))
Given that:
M miles = N kilometers, where M is a positive integer ≤ 2016 and N is a real number.

(I) Determine the value of M that yields the smallest value of F(N)
(II) What is the value of M yielding the next smallest value of F(N))?

(In reply to quick Excel solution by Daniel)

5280*12*2.54/10000 = 1.609344 km / mi, not 1.60934. With the numbers in question, it makes a difference.

Posted by Charlie on 2016-02-26 10:07:44