The Princeton Beta Experiment-Modification (PBX-M) was run both with elliptical and with bean-shaped plasmas during the 1992 and 1993 operating periods. Two deuterium-fed neutral beams were used for auxiliary heating, and during 1992 the average power was . This will be referred to as the lower neutral-beam power (LNBP) period. As many as four deuterium-fed neutral beams were used during 1993, and the average power was . This will be referred to as the medium neutral-beam power (MNBP) period. The neutron source strength, Sn, showed a scaling with injected power , for both the LMBP and MNBP periods. A much wider range of shaping parameters was studied during the MNBP as compared with the LNBP period. A weak positive dependence on bean shaping was observed for the LNBP, and a stronger positive dependence on shaping was observed for MNBP, viz. High values of Sn were obtained in bean-shaped plasmas for the highest values of at for the LNBP. For the MNBP the highest values of Sn and stored energy were obtained at , and the highest values of were obtained at . The achievement of high Sn is aided by high neutral-beam power, high toroidal field, strong shaping, high electron temperature, and broad profiles. The achievement of high is aided by low toroidal field, high density, less shaping, broad profiles, and access to the H-mode, viz. The achievement of high is aided by strong shaping, high density, broad profiles, and access to the H-mode, viz. Some comparisons with the previous higher neutral-beam (HNBP) period in 1989 are also made.