The microchannel heat sink (MCHS) is a robust cooling technique that ensures the efficiency and reliability of compact electronic devices by dissipating a large amount of heat due to its high surface area-to-volume ratio. This study proposes a novel modification of the pin-fins geometry in MCHS, and geometric optimization using response surface methodology (RSM) is achieved to build a low thermal resistant MCHS with enhanced heat transfer efficiency with low-pressure drop. Numerical simulations are performed on three pin-fins configurations, i.e., MC-BW (pins mounted transversely to the bottom wall), MC-SW (pins mounted transversely to the side wall), and MC-Mixed (pins mounted transversely to the bottom and side wall). The thermal and flow characteristics are investigated using a laminar conjugate heat transfer model at Reynolds numbers 100-1000. Results show that introducing pin-fins significantly enhances heat dissipation as it continuously breaks the boundary layer and generates flow separation downstream of the pin-fins, which enhances fluid mixing and increases heat transfer augmentation inside MCHS. Among different configurations, the MC-Mixed gives the highest improvement of 50% in the convective heat transfer coefficient at Re = 1000. The highest thermal enhancement factor of η=1.4 is obtained for the MC-Mixed configuration at Re = 600. Response surface methodology yields optimized values of transverse pitch, longitudinal pitch, and diameter of pin equal to 2.50mm, 0.25mm, and 0.045mm, respectively, for base wall pin fin configuration and transverse pitch, longitudinal pitch, the diameter of pin and pitch of side wall pins equal to 1.0mm, 0.150mm, 0.035mm, and 1.250mm respectively for mixed pin fin configuration for maximum heat transfer and minimum pressure drop. The ANSYS FLUENT 2021 R2 software is used to conduct three-dimensional RANS simulations. The QUICK and second upwind interpolation schemes are employed to solve the diffusive and convective components of the momentum, energy, and continuity equations.