A heat engine operates between two reservoirs at $727\backslash$deg C$27\backslash$deg C $(27\backslash$deg C$)$ at a rate twice that the heat engine rejects heat. The efficiency of the heat

engine is $(2)/(5)$ of maximum possible efficiency, and the COP of the heat pump is $(1)/(2)$

of the maximum possible COP. What is the temperature of the reservoir that heat

pump rejects heat into?