Optimizing and simulating wire-cut electric discharge is the focus of this work. The impact of pulse on-time (Ton), voltage gap (Vg), pulse off-time (Toff) on the machinability of silicon carbide (SiC) reinforcement in an aluminum alloy AA5128. Aluminum Metal Matrix Composite (AMMC) was made employing the stir casting method, and nanomaterial was synthesized utilizing planetary high energy ball milling. To investigate whether or not the cast composite can be machined. Central Composite Design (CCD) using a face-centered approach is used to design experiments based on the Response Surface Methodology (RSM). Surface Roughness (SR) and Kerf Width (KR) were examined to evaluate the best settings for input. Analysis of Variance (ANOVA) is employed to examine the robustness of the formulated model, while regression analysis is employed to characterize the processing variables. According to the findings, kerf breadth narrows with increasing Toff and widens with rising Ton and Vg. As Vg and Ton both rise, the two trends cancel each other out, with rougher surfaces being produced as higher values are produced.