Numerical simulation had many advantages over use of mathematical model through numerical techniques. The objective of this study is to investigate the effect of various parameter such as RPM, temperature, pH and aeration rate on ethanol production using Monod model (M-Model). Monod model utilized well known mathematical technique of Range Kutta (RK) for simplification of differential equation. In the current study RPM varied from 250-450 with step size 50 RPM, pH changed from 4-6.5 with step size 0.5, temperature raised from 30-45ᵒC with step size 5, and aeration rate increased from 0.1vvm/l to 0.3vvm/l with step size 0.1vvm/l. The results revealed that maximum yield (77 g/l) of ethanol achieved at 300RPM, pH 4.5, 35ᵒCand aeration rate 0.2vvm/l. Moreover, theoretical investigations were also verified by fitting the data in M-Model and found quite in good agreement with the model.