Dear Jenny,
You don't mention the precise handling operation but I'm surprised 36degF(ca.2degC) is legally (worker) possible, never mind operationally ?. I recall some earlier UK threads on (H&E) acceptable working temperature ranges on this forum. Sounds more like working in a chilled storage room.
As per basic
HACCP,
product safety is invariably a time/temperature function as related to microbiological concerns (excluding the glove issue) so the answer to yr 50degF (ca.10degC)question may depend on the specific process parameters (eg using ice for meat?).
HACCP Fishery Guide (USFDA) for seafood contains some data for maximum handling times vs product temperature for maintaining safety with respect to selected micro.species (I appreciate 41degF is a magic number for USA, not so in other locations).
I have seen 5degC in routine use for non-frozen meat processing and it was "difficult" even with gloved systems similar to yr reference. Great for promotional safety data though.
I have also seen 10degC satisfactorily used for packing frozen product. This was a significantly more user friendly temperature level but still required inner cotton gloves for extended periods, plus working condition "caveats". Maybe you should do a trial test for worker response ?
Vegetables and meat may be rather different of course, especially if the former has no bactericidal step in the total chain.
Rgds / Charles.C