The EI battery capacity and EI Inverter continuous and max power (also called a surge or start-up power) varies depending on the inverter size, and the number of batteries. This chart parses these variables.
The limiting factor in all scenarios is the EI Inverter. For example, although each battery cabinet (in parallel) can supply 5000W each, the EI inverter nameplate is only 7600W; therefore, with 10,000W possible, the inverter can only produce 7600 watts.
The only configuration that allows a 10kW continuous output is the 11.4 kW inverter with two batteries in parallel.