A stick of length L is broken into n equal parts.

What is the maximal product of their lengths?

Just may have just been solved, but here what I got anyway....

To get max [ (L/n)^n ] = max [L^n / n^n], get the max of

the ln of this:

(n ln L - n ln n)

d/dn (n ln L = n ln n) = 0

ln L - ( n 1/n + ln n) = 0

ln n = ln L -1

n = exp (ln L - 1)