A reversible heat engine operates within the higher and lower temperature limits of \(1400 \mathrm{~K}\) and \(400 \mathrm{~K}\) respectively. The entire output from this engine is utilized to operate a heat pump. The pump works on a reversed Carnot cycle, extracts heat from a reservoir at \(300 \mathrm{~K}\) and delivers it to the reservoir at \(400 \mathrm{~K}\). If \(100 \mathrm{~kJ} / \mathrm{sec}\). of net heat is supplied to the reservoir at \(400 \mathrm{~K}\), calculate the heat supplied to the engine by a reservoir at \(1400 \mathrm{~K}\).