My company has a solution to this. They just hire another person and skip the middle full-staffing phrase described by some. The previous guy in my position quit. He was doing a superhuman effort to cover as much as he did. I have far less experience, so when I took over, I really only took a large subset of what he was doing. It was possible for neither of us to truly do as much as needed to be done in our area. Now I'm quitting soon. The company isn't about to rush out and get 3 extra people just because it needs them, much less one. Instead, they'll just keep on with the current contractor that had been brought in as a supplement.
Now, don't get me wrong: he's skilled and experienced and he can do more than I can. But it's still going to be far more than he can do, and those other 2 will not be appearing anytime in the foreseeable future. And if he leaves? Well...there's just going to be a bit of a gap then, isn't there?
If this were video games, I might not mind so much. But this happens to be system software which is being supplied to institutions you have heard of and which you hoped had saner suppliers than us...
reminds me of a company I used to work for; a nice lady who was already doing the work of three was asked to do the work of a forth, which she refused and left shortly there after. the company had to hire four people to do the work she was doing at five times what she was being paid (yeah, that company severely underpays their employees.)