The thing they wanted me to do was maximum priority, but there was also some other totally unpredictable thing (often support related) that I also had to take care of. The higher-up was 100% sure it wasn't a real problem and assumed I was exaggerating the situation.
The solution to the problem of lack of trust is of course to convince them, or to leave. If you can't make changes that increase your productivity, you'll become stressed and burned out, and will still not be able to do enough. It is a decision they made.
The previous CEO of the story wasn't wrong about what's important at all. Only about how much time it takes. He considered everything important and maximum priority, but didn't believe the "previous thing" was taking 80% of the time of the team. I couldn't tell the team to "drop the previous task" like the other post suggested: it was also maximum priority.
"Important" and "Takes too much time" are very different.
So, try it. See how well you can do in 0.8 times the time. Probably not as well, but maybe still adequate for the boss's standards, or maybe not. Either way the impasse is solved, as both you and your boss will see exactly what can in fact be done in 0.8 the time.
At most places, the answer is going to be “you need to prioritize all of it. Oh, and by the way, here is even more work to put on your plate!”
I think this only works if you’ve already set boundaries on your time though.
If this is a chronic problem, or it's an established company, though, you realistically have two solutions that don't lead to burnout:
1. Don't deliver everything you're asked for
2. Find a new job
Once that culture is established it's extremely hard to change. It certainly will not fix itself.
or
> Well just do this in like the fastest, shittiest way possible
:shrug:
We can prioritize and things do get prioritized but if you have 40 hours of time and 80 hours of work, some ball is getting dropped.
Reminds me of a previous manager I had. He would come with a 20 to 60 hours task, and quite reasonably say "that's urgent, drop anything else and focus on this for as long as you need".
The only problem is that he did that about twice a day.
Change the conversation from how much to when.