Add a kiosk where you can stick your cameras in and pay a small fee to add more prints to the cameras, or where they'll destroy/recycle the camera and give you one last print of each photo on the camera. (This used to be a feature with disposable cameras but is no longer the case for some reason.)
All the more reason why it should be possible to pay to get additional prints on the Nito-Kodak PhotoPlus which is marketed at having unlimited prints.
Also, being unable to print from cameras will result in people hoarding more cameras that have run out of prints, thus resulting in shortages of PhotoPlus cameras again.