As large as that family is and the size of the house. One could probably fill the collection hopper on the city's vac all weekly.
Then again like many people I have trained to clean a building they seem to have no idea the dirt goes some where.
The Plumb full bags I have emptied on the vacuums at work amaze me that they would even pick up anything. Which was usually about the time I got a call the vacuum wasn't working and we needed a new one. Empty the bag and put on a new belt and what do you know it works just like new.