Does it matter if, at the deadline, I'm hopelessly over budget and it still doesn't work yet? Or, at the end of the budget, I'm going to get it to work at the deadline, continuing the same course through money? Either way, you're still likely looking at a project getting killed. Just as likely as your scenario, I think, because given more time and budget, you might be able to take the deliverable and make it work.
If there is a business ordering to this, it's not transparently obvious to me. Different managers/corporations would treat each of the three failures (working, deadline, budget) differently. radiantmatrix's other goals aren't even on the same page as these three, but the ordering between these three is blurry to me.