Tony, with reference to what you are asking about, no, there is no proof-positive method/data base to use to find out just how many cards for a given set were printed at the time the given company issued them. The only company I can think of that "went out on a limb" to divulge their print run was the 1915 Cracker Jack promotion. Come to think of it, a wonderful SCD article in the early 80s on the Post Cereal card sets included print runs, and the difference between 1962 and 1963 was startling.
If I may ask, why do you want to know this information? I can imagine your answers, but I may be quite mistaken, as often happens when we humans make assumptions. So, again, why do you want to know?
Answering me will help me and a few others that will bother to deal with your question as best we can.
---Brian Powell
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