http://www.npr.org/templates/story/story.php?storyId=9784361...
I can think of the Hummer, but that wasn't GM https://en.wikipedia.org/wiki/AM_General .
I think it would be difficult to determine which rationales were sufficient to get enough votes for the bailout to pass, but the cost of creating a supply from scratch after a period of zero demand from GM might have been far more expensive to the aggregate economy than the bailout was. Therefore the cost was judged 'worth it' in spite of the implicit reward to GM for decades of mismanagement.
https://en.wikipedia.org/wiki/Motors_Liquidation_Company
The bailout can still have been a sweetheart deal for the creditors of the company, but it didn't do the old GM any good.
I tend to think the motivation of the bailout was to reduce disruption in the job market, I don't think there would have been much more than a short term disruption in the OEM business.
I have been apart of at least three Tungsten Mine pre-feasibility studies. All they need to do is ramp up production, and the price falls to a point where NPV of your tungsten project falls to zero.