A reversible heat engine operates between two reservoirs at temperatures of \(600^{\circ} \mathrm{C}\) and \(40^{\circ} \mathrm{C}\). The engine drives a reversible refrigerator which operates between reservoirs at temperatures of \(40^{\circ} \mathrm{C}\) and \(-20^{\circ} \mathrm{C}\). The heat transfer to the heat engine is \(2000 \mathrm{~kJ}\) and the net work output of the combined engine-refrigerator plant is \(360 \mathrm{~kJ}\). Calculate the heat transfer to the refrigerant and the net transfer to the reservoir at \(40^{\circ} \mathrm{C}\).