I'm not in the business, but like an occasional math problem, and doing a little BAD (beer aided design) after a week of work.
1 acre (for those of you who don't know, 1 acre is 43,580 sq ft), lets say stacking at 50% open space (thinking row, walkspace, row, etc., for airflow and ease of moving wood in/out) stacked 4' high would get you about 680 full cords on that space.
Storage area for logs, a processing area, and room to work are what will take up the space. My loader tractor will turn around in about 30' without dragging the brakes. Double that area, to make life a little easier, and you'd want 60' between log stacks and the processor. Add space for a small maintenance shed/break room/office, parking for vehicles and equipment, maybe some fuel storage, etc., and I think about 3 acres of wide open space would do nicely, more if you want to stockpile a ton of logs if you get a bargain on them.
Conversely, I have about 3 acres where I block, split, and stack often. I have a bunch of bigger log sections laying around taking up space that need to be cut, 2 or 3 nice brushpiles waiting for a nice day to torch them, and basically a lot of wasted space, but it's nice to be able to walk out the door and a few steps to test a saw I've been tinkering with. Remember, nature abhors a vacuum, and any empty space quickly gets filled with something!