Presumably at some point the person with the problem realises that it has yet to go away, at which point they're free to log another call, which may or may not be solved in the same way.
It's a brilliant strategy, and one can only wonder why the President hasn't made use of it before. Next time the DA whinges about crime, say, he could simply turn to one of the suits next to him, ask that the problem be dealt with, and then turn back to the DA and smilingly assure them that the problem no longer exists.
There's no end to the social problems that could be addressed in this way. Poverty, job creation, domestic violence, overcrowded prisons, fraud... The Government's call sheet could be looking really impressive with ticks everywhere.
And if people persisted in logging new calls when they felt the other ones were not adequately resolved - well, they could always opt for permanently busy telephone lines, too...