A heat engine with a thermal efficiency of 40% receives heat from a reservoir at a temperature of 300oF and rejects heat to a reservoir at a temperature of 40oF. The heat engine is connected to a heat pump which receives energy from the 40oF reservoir and must reject 36,000 Btu/hr of heat to a house at a constant temperature of 80oF. If the coefficient of performance of the heat pump is 9 and the heat engine only produces enough work to drive the heat pump, then find: a).the rate of heat transfer to the heat pump from the 40oF reservoir (Btu/hr) b).the power required to drive the heat pump (Btu/hr) c).the rate of heat transfer to the heat engine from the 300oF reservoir (Btu/hr) d). the rate of heat transfer rejected by the heat engine to the 40oF reservoir (Btu/hr).