No. Actually most operations discover the opposite occurs. The gas bill for cooking goes to $0 and the overall energy bill stays the same or goes down, because of a reduced load on air-conditioning units.
No, except when using an open burner range or a woc range.
No. In every case more heat is absorbed by the food cooked on electric than that cooked on gas. The equation for measuring efficiency, as established by the University of Minnesota 1984 is: the amount of heat energy (BTUs) consumed by the cooking process divided by the amount of heat absorbed by the food, all times 100.