I have a large customer that needs to know the weight capacity that an automatic tractor can hold? Thanks!
That's a "loaded" question :) Personally, I've never seen an operator maximum weight rating for these tractors. Others may chime in here. If the lawn to be mowed is all relatively flat then I wouldn't worry too much about recommending any of them, but a safe recommendation is to go with a garden tractor which is rated for ground engaging implements. Cost may be factor here, though.
I've never seen that spec either but one indicator might be the "static weight on axle" specification for the transaxle.
If you have a Tuff-Torq trans the specs are here (copy & paste)...