Cardiovascular catheters design while balancing the tensile, torsion and bending performance outputs to achieve optimal performance is a challenge. Lasercut Hypotubes as a catheter's structural member provide an option to achieve the desired mechanical properties. This paper presents a case study to detail the process of designing an interrupted spiral cut pattern hypotube as a structural member while using Finite Element Analysis (FEA) test simulations along with Minitab's Central Composite Design (CCD) Response surface Methodology (RSM) for multi-response design optimization. The optimized design identified by this methodology, presented in the case study, showed that the tensile, torsional, and bending stiffnesses predicted by the RSM model compared to that of FEA simulation data with 20%, 1% and 35% error. The large percentage error for one of the responses (>20%) was attributed to the high residual error in the Minitab's model. For further improvement in the Minitab's model prediction, a DOE design to include full factorial design of experiments for additional data, identification of potential outliers due to sensitivity of FEA simulations compared to that of real-world data are recommended. Overall, this paper detailed the process of modeling a Lasercut hypotube design and the methodology to optimize the LCH design based on FEA simulation data and RSM without the need for cost prohibitive prototype iteration process in the design of structural heart catheters.