This sounds sort of like what classic Macs did: there were some settings in the application's "Get Info" dialog to adjust the "current size" of the application (along with a note as to what the "preferred size" was); if there wasn't enough free memory the program would refuse to start.

In practice, this is a terrible idea: it generally turned into "well, this program isn't working right, what if I fiddle with it's memory allocation?" and did nothing to actually help the user. (To be fair, the setting was necessary as a result of technical limitations, but I don't see it working out any better if it was implemented intentionally.)