In the past 18 months Sony has spent over $3 billion dollars buying, 11% of Olympus, 50% of SE, So-net, EMI Music publishing, Left Bank Pictures, Sucker Punch, and some other stuff.
They have the money, they still have money in the bank and can still liquidize lots of assets if they need to. Recent rumor (that was quickly shut down by Kaz) suggesting sales of SPE and SME was speculated to be worth significantly more than Sony's current market share.. Just because their financials are bad and they aren't investing much in gaming right now doesn't mean they don't have the cash to spend.
Turning the vita around at this point would be a miracle, something we have never seen before in the gaming industry. They were able to turn the PS3 and PSP around, but they were never this bad. Not in their first year anyway. I have already stated that IMO they should cancel the vita and let it die. Support it with PSMobile and stuff. Revitalizing it would take too much of an effort and too much cash to get new SKUs ("LL" or tablet, "mini" or phone, and PSV 2000), along with a new, focused marketing campaign, and moneyhats of huge franchises. Even with that it would be a high risk, low reward venture as more likely than not they would lose money in the process. As a matter of fact, they would need to straight up buy a majority stake in Square Enix and/or the Monster Hunter IP from Capcom to actually make it a moderate risk/low reward venture.
I honestly think the smart thing to do would be to cancel the vita and let it die.