A heat pump with COP = 4 uses 1 kW of power input to heat a 25◦C room, drawing energy from the outside at 15◦C. Assume the high/low temperatures in the heat pump are 45◦C/0◦C. Find the total rates of entropy into and out of the heat pump, the rate from the outside at 15◦C, and the rate to the room at 25◦C.