Not trying to discourage you but we used to run a 3 man crew on a top of the line cord king and if we managed 10 cords a day without a major break down, it was a good day. This included a log truck to load the live deck and a front end loader to remove debris. The build quality on a cord king is marginal at best. I think your 8 cord a day goal is very optimistic.
How many cord per hour?
Advertising two or three cord per hour, but how many men does it take to run a processor to hit those numbers.
The above quote leads on to believe 1.25 cord/hour. 10 cord/8 hours.
A more realistic comparison would be man hours per cord, or as the math shows, cord per man hour.
Ten cord, three men, assuming eight hours.
10/3=3.33 cord/man
3.33/8 hours = 0.41 cord per man hours.
And this is why I have not taken a loan to purchase a processor.
It takes me four hours to do a cord.
0.25 cord per man hours using a SuperSplit wood splitter.
Percent of increased production using a processor vs SuperSplit
.25/.41 = x/100 = % increase
cross multiply
.41x = 25.00
x = 25.00/41
x = 60.97 %
Say I do 100 cord with the SuperSplit (I don't but for easy numbers)
Then in the same number of hours, a processor could do 160 cord.
Suppose there is $100. profit per cord.
60 cord x $100. = $6,000 increased income using those numbers.
Which means you would probably have to increase cords produced by 2x or 3x to make a processor a financially solid purchase.
There are other factors. Using a processor may be less hands on labor intensive, making it possible to put in more hours.
However, as volume increases the labor and hours may increase more than a simply proportional, or linear 45° angle graph.
Assume you produce ten cord in ten hours, or one cord per hour, you may not be able to do one hundred cord in 100 hours, because every eight to ten cord the machine will need to be moved from the split pile.
I have found from personal experience that smaller logs take longer, and also, large logs take more effort to physically handle. Often the largest logs I get are punky butt logs, of which I cull out before it goes up the conveyor. I still cut and split into stove size pieces and toss in a separate bin for personal stove use, which is good it gets used, but doing so takes longer to do a cord if the firewood is going in a junk pile, and not up the conveyor into the customer pile.
In short, I can't make the numbers work to finance a processor, and if I did, it would most likely create a cash flow problem to keep it fed with purchased logs.