Production Set: Not satisfying Free Disposal Assumption I saw the figure which satisfies the free disposal assumption in Mas-Colell, Whinston and Green (1995), but wondering if there is a figure that DOES NOT satisfy the free disposal assumption? Any leads will be great.
Thanks!
This is something you can figure out yourself. If you have not yet tried, I encourage you to do so.

Draw any set $H \in \mathbb{R}^n $. Select any point $x$ of set. Is the set of all points $y$ &quot;under&quot; this point $x$, that is
$$
\left\{y\in \mathbb{R}^n | y &lt;&lt; x \right\},
$$
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: