The average January temperature in New Orleans is 56 F. The average July temperature is 83 F. Consider a house in the city that exchanges heat with the outside in accordance with the relation dq/dt = A(To - Ti). The subscripts o and I stand for outside and inside.) A has the value 1080 BTU/(hr K). Assume that the inside temperature Ti is to be maintained at 70 F, and that electric power costs ten cents/kWh. Compute the daily average cost for

(a) Air conditioning in July if the conditioner's performance factor is 25 percent of the ideal or Carnot efficiency.

(b) Heating in January with electric resistance heaters.

(c) Heating in January with a heat pump having the same performance factor as the air conditioner.