I determined that the most efficient way to play this game is to ignore every task that isn't typing for character count, including never actually saving once you get to the minimum character count for the current task. As you go up in levels, the number of work units you accomplish per character goes up, and you continue accruing work units even if you do "extra credit" on one of your tasks by exceeding the minimum. So it pays to just keep returning focus to whatever window you were typing in and never stopping. I think it also might stop giving you new tasks once you have a certain number stacked up, which lets you have uninterrupted keyboard-mashing time to get those promotions. :D

Using this strategy, I managed to hit the Computation Administrator progress cap almost immediately after my first "well-deserved break".