Static Profit Maximization Short Run Shut Down Decision
In the short run, you cannot sell your capital. To do so would be a violation of &quot;short run&quot; and would instead be the &quot;long run&quot;.
Case 3 (and I would also contest Case 2) are outright forbidden by the definition of short run.
I would note that your question has a lot of narrative to it - which is good in some cases, but you want to keep the literal definitions in mind, not all actions you describe are valid options in the parameters you've established. Optimization is, at its heart, a simple fact of math.