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Optimal result (Posted on 2018-06-04) Difficulty: 2 of 5
A stick of length L is broken into n equal parts.

What is the maximal product of their lengths?

No Solution Yet Submitted by Ady TZIDON    
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No Subject | Comment 7 of 11 |
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) 

  Posted by Steven Lord on 2018-06-05 14:15:40
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