The construction industry has been plagued by the long-standing threat of building collapse. In an attempt to stop the trend, numerous studies have been conducted, but to no avail. A contributing factor to this threat has been identified as low-quality concrete. In this study, a model to optimise the design of concrete mixes was developed. Twenty-seven trial mixes were made and a total of 81 cubes were cast, with three cubes cast for each mix. Each factor's relevance and relative contribution to the variation in concrete's compressive strength were evaluated using ANOVA. The statistical study was done using R software and SPSS, and the optimisation values were determined using Excel Solver and Python. The cubes used in the trial mixes have compressive strengths ranging from 18.17 to 40.71N/mm2. A water-to-cement ratio of 0.35, a cement content of 375 kg/m3, and a coarse aggregate/total aggregate ratio of 0.65 yielded the best compressive strength. The optimum compressive strength obtained is at water - cement ratio of 0.35, cement content of 375kg/m3, and coarse aggregate/total aggregate ratio of 0.65.