Final answer:
The responsibility for the management of office files within an organization typically falls to the Administrative Officer, who ensures proper file maintenance and availability for reference.
Step-by-step explanation:
The establishment, maintenance, and disposition of office files within an activity are generally the responsibility of the Administrative Officer. This individual is charged with the efficient management of office records and ensuring that organizational documentation is systematically organized and available for reference when required. Other officers, such as the Legal, Personnel, or Operations Officers, might interact with the files for specific purposes, but the overall responsibility for file management typically falls under the jurisdiction of the Administrative role.