The operation of a three-heat-reservoir heat pump is viewed as a production
process with exergy as its output. The relations between the optimal profi
t and COP (coefficient of performance), and the COP bound at the maximum pr
ofit of the heat pump are derived based on a general heat transfer law. The
results provide a theoretical basis for developing and utilizing a variety
of heat pumps. The focus of this paper is to search the compromised optimi
zation between economics (profit) and the utilization factor (COP) for fini
te-time endoreversible thermodynamic cycles. Copyright (C) 1999 John Wiley
& Sons, Ltd.