Production Set: Not satisfying Free Disposal Assumption

This is something you can figure out yourself. If you have not yet tried, I encourage you to do so.

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Draw any set $H in mathbb{R}^n $. Select any point $x$ of set. Is the set of all points $y$ "under" this point $x$, that is $$ left{yin mathbb{R}^n | y << x right}, $$ a subset of $H$?
If no, free disposal is violated.
If yes, remove any of these points from $H$. The reduced set now violates free disposal.

For a figure of such a set, you can consider the Mercedes logo: