FWIW. I have used my Yamaha EU2400i to run the fridge, a computer, sat dish receiver, lights, and a Lennox Pulse furnace big enough for a 4000 square foot house. And yes, all at the same time. We lost power due to an ice storm for a week.
I was using two different generators til another ice storm late in the week rendered the noisey Coleman useless. So I hook it all up to one just to see if it would take it. No problems!