Ampex tapes form '97 are just as good as current lots - no sticky-shed. It was already being made by Quantegy at that point, but they used the Ampex name for a while. It will say "Made in Opelika, Alabama" on the back of the box. The old Ampex will say "Made in Redwood City California." Either way, Ampex or Quantegy made 1995 or later is just fine.
It's hard to say what to charge for 80's MRL tape. If you know the history and it has just been sitting in the box... maybe $50.00 US for a 1-inch. Make sure you warn the buyer of the date.
If untested, I would be shy about buying anything that may have bits and pieces of itself already damaged.
The old tape I bought had been sitting around unused, so after baking it was perfect.
Backcoated 3M and Ampex Tapes from the 80's either are, or eventually will be afflicted with sticky shed. In a dry climate you might get away with it, but I recommend not taking a chance. Making a case-by-case test isn’t practical, because, as Tim G. said, you can destroy or at least degrade the tape by running it. The best test is the date.
That being said, if you are just dying to find out, you can cover the head assembly with a lint-free cloth (piece of old T-shirt) and run the tape. The heads and scrape-flutter guides near the heads pick up the most gunk and do the most damage to the tape. If it’s sticky there will be a buildup on the cloth that looks like rubber cement – yellowish, glue-like, as well as fairly heavy brown oxide shedding. Some oxide shedding is normal even if there’s no sticky-shed.
I guess the bottom line is that it doesn’t matter what state the tape is in now, because that could change in a couple months. So you can’t really sell a tape from the 80’s as not having sticky-shed. They are all sticky-shed just waiting to happen.
