Blends of Linear low density polyethylene (LLDPE) and Poly dimethyl siloxane rubber (PDMS) are immiscible due to dissimilarity in their structures and wide difference in their surface energies. The processing parameters such as temperature, rotor speed and time in an internal mixer (Brabender Plasticorder) were optimized by using Design of Experiments (DOE) as per Taguchi Methodology, for a blend ratio of 50:50. Mechanical properties such as tensile strength and impact strength were chosen as the criteria for assessing the optimization phenomenon. The optimum processing parameters were found to be a temperature of 200°C, a rotor speed of 100 rpm and the time as 8 minutes.