National Oceanic and Atmospheric Administration Fisheries has conducted several buyback programs to reduce harvesting capacity in fisheries. These programs have attempted to maximize capacity reduction given a fixed budget. However, restructuring issues have not been considered. We explore the possibility of satisfying three different buyback objective We examine the black sea bass trap fishery and determine the number of vessels given different allowable catch levels and objectives of maximizing technical efficiency, capacity utilization, and vessels in the fishery. We find considerable variation in the number of vessels allowed to remain in the fishery given the different objectives.