During the month of January, a house is found to have an average heat loss of 14 kW. If the costof electricity is 5.4 cents per kW ·hr, a. Find

the cost of heating the house for a month using electrical resistance heating. b. Find the cost of heating the house for a month using a heat pump with coefficient ofperformance of 3.7. c. If the house currently has electric resistance heating, would you recommend that a heat pump be installed? In your analysis, assume that the total annual heating is three times the January heating and that the heat pump will cost $5000 to install. How many years of cost savings are required to pay for the cost of the heatpumpinstallation?