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For example. The problem I'm working on is

\begin{align} U(x,y)=(\max\{x,y\}+2)^3+5 \end{align}

I had a problem where min was in the objective function before, so I would set $x$ and $y$ equal. I'm sure that's not the same in this situation but not sure how to approach it.

Erik M
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Shaner
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    Are you trying to maximize or minimize $U$? Are there any constraints? – Erik M Dec 11 '16 at 22:29
  • I'm trying to maximize. Can we assume it I constrained optimization. Is there no simple rule to follow as in if it was min{x,y} then there is an optimal interior solution at x=y? – Shaner Dec 11 '16 at 22:50

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Unfortunately, this problem is not well posed. Whether you are trying to maximize or minimize $U$ over $(x,y)$, the problem is unbounded (to positive or negative infinity, respectively).

Erik M
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