Also, the unit (when loaded-up) generates a bunch of heat and WILL NOT OPERATE LONG at the maximums. As the battery voltage drops (as you challenge your bank) you get a "double wammy" and the units will shut down.
My view is that: IF you have a very robust bank and the draw on the available bank is less than (say 10% of the bank's capacity) and not challenging the limits of the inverter and not overheating the inverter (you can't crame it an unventilated locker in the summer and expect it to work to the rated load), etc. -- THEN you can get up close to the limits for a while.
Craig: I don't believe you should be operating an electric cooktop that draws 1500 Watts (or more) other than for brief periods on a 1000W inverter. My advice is to either: i) get a proper propane stove; orii) you'll have to get a lot bigger battery bank, alternator, inverter/charger, etc. If you try to go "all electric" with those loads, aside from the boat buck$, that going to involve finded some room, ventilation, and upgrading some engin and charging systems.