1. Answer the questions below regarding the heating of a house in the Midwestern United States. Assume the following: The house has 2,000 square feet of living space

80,000 BTUs of heat per square foot are required to heat the house for the winter

natural gas is available at a cost of $5.00 per thousand cubic feet

One cubic foot of natural gas supplies 1,000 BTUs of heat energy

The furnace in the house is 80 percent efficient

(a) Calculate the following, showing all the steps of your calculations, including units

(i) The number of cubic feet of natural gas required to heat the house for one winter

(ii) The cost of heating the house for one winter