A stick of length L is broken into n equal parts.
What is the maximal product of their lengths?
(In reply to hmmm... (spoiler)
Regarding your preamble "Now that it's been posted" I must remark that nobody addressed the wording while my post was reviewed in order to avoid errors and misundestandings.
It looked the same as now.
I ask you now to answer for what value of n (a variable) one gets the maximal product and what is its value.
Assume L>1 , to avoid the problem of units, and then I will let you know what ideaI was trying to convey.