I don't know shit but I imagine a Producer's job is to make sure everything that's under their umbrella GETS DONE and to the satisfaction (whatever that might be) of people higher in the command chain/production committee.
It would involve finding the right people to work under them (presumably, if they weren't already chosen by some higherups), making difficult decisions (sometimes butting in artistically for better or worse), while trying to stay on schedule and within the allocated budget - maybe sometimes trying to get more money or time believing it's necessary (but then there'd be even more to answer for to sponsors). Not sure if they would be the ones looking for money for production from the start but maybe...? v( ' ')v
Talking out of my ass.