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As far as "Maximum bow range" is concerned, I would say that it is as far a you can reliably hit your target. It's not like arrows lose momentum like a bullet.
The problem is making sure the target is there when the arrow gets there. Even a smoking fast bow will take nearly a full second to get to 60 yards. Enough for a step and gut shot. Depends on the critter, it's attitude and the circumstance. I have shot elk at 50 and had antelope dodge at 20. Closer is always better but under 40 I feel very confident with my compounds and under 30 with my recurves. Each may be extended (or shortened) a bit under the right circumstance.
