A residential natural gas furnace in a home has an average daily heat output of 32,000 Btu/h during the month of December to maintain the home at 70°F. The natural gas being used has a density of 0.044 lbm/ft3 and a volumetric heating value of 1000 Btu/ft3. The cost of the natural gas is $3.29/MBtu. For the month of December, determine the following:

a. The total number of cubic feet of natural gas used

b. The total cost of the natural gas used