A closed-loop geothermal heat pump is connected to the ground that is ~ 10 C year-round. You are tasked with designing a heat pump system for a building in Minnesota with an expected winter heating load of 2800 kW and a summer cooling load of 2000 kW. You would like for there to be no excess loads in winter or in summer to avoid building extra components such as a cooling tower etc. Is this possible? If so, what is the energy input of your compressor required to achieve this? What is the coefficient of performance for this system in the winter? What about in the summer? You can assume that the compressor and throttle are both ideal