You are working in an architectural firm designing a house. You are to design a heat pump responsible for both heating in winter and cooling in summer. The summer cooling requirement is 60 kJ/s to maintain 20C and the winter heating is 30 kJ/s to maintain 25C. The system circulates refrigerant through interior exchanger coils at 30C in winter and 5C in summer. Large underground coils provide the heat source in winter and heat sink in summer. The year-round ground temperature is 15C, and the design of the coils requiresrefrigerant temperatures of 10C in winter and 25C in summer. What are the minimum power requirements for (a) winter heating and (b) summer cooling?