Systems that can be reconfigured are valuable in situations where a single artifact must perform several different functions well, and are especially important in cases where system demands are not known a priori. Design of reconfigurable systems present unique challenges compared to fixed system design. Increasing reconfigurable capability improves system utility, but also increases system complexity and cost. In this article a new design strategy is presented for the design of reconfigurable systems for multiability. This study is limited to systems where all system functions are known a priori, and only continuous means of reconfiguration are considered. Designing such a system requires determination of (1) what system features should be reconfigurable, and (2) what should the range of reconfigurability of these features be. The new design strategy is illustrated using a reconfigurable delta robot, which is a parallel manipulator that can be adapted to perform a variety of manufacturing operations. In this case study the tradeoff between end effector stiffness and speed is considered over two separate manipulation tasks.