A room with walls that pass heat at a rate of B(T outside – T inside) is cooled with an air conditioner that has half the efficiency of an ideal Carnot machine. It is powered with a 1-kW electric motor that is 90 percent efficient in converting electric power into mechanical work. If B is 700 J/sec K and the outside temperature is 310 K, what is the minimum temperature that can be reached inside the room?