perplexus.info :: Just Math : Optimal result

Optimal result (Posted on 2018-06-04)

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

Rating: 2.0000 (1 votes)

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re: What Ady wants (spoiler?)

| Comment 4 of 11 |

(In reply to What Ady wants (spoiler?) by Steve Herman)

The proof is based on y'=0, where y=(L/n)^n.

It is beneficial to take log of both sides prior to differentiation.

The remarks by SH about considering the integer closest to the result (i.e. L/e , where e=2.718...) finalize the solution.

The"official" solution will be published within few days.

Posted by Ady TZIDON on 2018-06-04 19:28:26

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