An inventor claims to have created a heat engine that produces 10.0 kW of power for a

Question:

An inventor claims to have created a heat engine that produces 10.0 kW of power for a 15.0-kW heat input while operating between reservoirs at 27 oC and 427 oC.
(a) Is this claim valid?
(b) To produce 10.0 kW of power, what is the minimum heat input required?