Is there some property which makes it preferable to find the maximum $1/x$ of x in a set, rather than directly finding the minimum of x in a set?
The context is a homework project, where the maximizing the reciprocal is hinted at in the problem description. We have several factors to weigh in making a decision for an AI agent.
I realize this is a very general question but that's all there is to it. Does anyone have any ideas?
Update: Maybe what I mean to ask is: If each x is a function of several parameters, is there some reason to use reciprocals in combining the parameters?