10.A heat pump is a device that provides heat energy to a home in order to keep it warm. The temperature is set to 20C. The heat pump transfers energy from the outdoors to the inside of the house for 100 hours over the course of a month. The heat pump can operate on one of two different heat reservoirs.

Scenario 1: At a temperature of -5C, the heat pump receives heat from the outside air. Scenario 2: The heat pump gets its energy from a lake with an 8C water temperature. When the two heat reservoirs are compared, the house can save $17 by using the lake instead of the outside air. Assume that $0.12/kW-h is the cost of electricity.

a. When using outside air, what is the heat pump's maximum COP? b. If a lake is used as a source, what is the heat pump's maximum COP? c. How much heat does the house lose?