I think it's safe to say that's the most brilliant idea I've ever heard in my entire life.

Although this seems a sensible idea, it assumes activity which is so neglectful as to not take the most elementary precautions with perishable foods. Anybody dealing with such food must be attentive enough to develop routines for basic care and cleanliness. It is likely that a casual attitude towards perishables under this system will result in a garbage compartment that will accumulate rotting material that will rarely be properly disposed of.

I like the idea. Instead of the conveyor dumping to the back where cleanup might be difficult, dump to the right or left. Users will quickly learn which side is the "last day before dump" side.

The conveyor doesn't need to run continually, it can cycle an incremental amount after hours to reduce office noise.

The dump chute could go into an automated trash compactor with a deodorizer canister; or the trash compactor could be refrigerated as well and cycle once a day.

When full, a warning light and/or buzzer would notify janitorial staff to service the compactor. Or an embedded controller could send a bluetooth message to a nearby computer to email the janitorial staff.

Not a bad idea, but it requires design of a mechanically complex and totally different refrigerator to support a niche market.

In my previous office, we achieved something similar with an ordinary fridge by printing dated sticky labels each Thursday and having the cleaners throw out everything that didn't have a current label on Saturday morning.

A bit more manual handling than your idea (mainly for the cleaners), but it was cheap, simple, and worked.