Air conditioning controller, go fig. Non-inverting 5V output, 5.4V-13V supply, 600mA output current, 5kV isolation, 200uA leak, 1uS max rise and fall time, -20C to 80C temp range. At a supply current of only 20Ma max, I'll just use an IC wide range 7.5V voltage regulator.
Active devices don't supply power by themselves.
and I think output supply and output voltage are the same (unless in your case, supply = current or power)
Think of the output as a logic gate, where one pin is connected to +ve, and the other, output.