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The core of a concrete masonry unit (CMU) is specifically designed to accommodate utility installations such as plumbing, electrical conduits, and other types of mechanical systems. The core consists of hollow spaces within the CMU that can be accessed for running various utilities. This feature is essential because it allows for efficient and effective integration of necessary services within the walls of a building without compromising structural integrity.

Additionally, the core's design contributes to the overall performance of the wall, providing flexibility in the placement of utilities and maintaining the strength and durability of the masonry unit. In contrast, the other components such as the shell, web, and flange serve different structural purposes and do not offer the same level of accessibility for utility routing. Thus, the core is a critical element in modern CMU construction, making it the correct answer in regard to accommodating utility installation.