This document presents a multi-hop relay algorithm designed for efficient broadcasting in mobile ad hoc networks (MANETs), addressing challenges of energy consumption, end-to-end delay, and packet delivery ratio (PDR). It proposes an improved approach over traditional protocols by optimizing these metrics through a robust theoretical framework and simulation results. The findings indicate significant enhancements, with optimized delay by 72.79%, energy retention by 77%, and PDR reaching up to 99.90% compared to existing techniques.