To provide a high-quality finish to multifaceted shapes and miniaturized parts, finishing by abrasion is one of the most critical and arduous intensive machining processes. AFM is a process that suits such kinds of tasks. After improving the existing AFM setup, the novel MAFM setup has been developed successfully by adding the magnetization effect. An aluminum fixture has also been introduced and replaced the nylon fixture. This research explores an investigation on MAFM of SiC/B4C hybrid MMCs with aluminum as a base material. An effort has been done for modeling two performance measures, MRR and Delta Ra through RSM. The value of input parameters such as extrusion pressure, number of cycles, the concentration of abrasives, work material, mesh size and magnetic flux density has been varied to investigate their influence upon response parameters. A desirability function has been used to optimize the response parameters.