Final answer:
The box office manager is responsible for ticket sales records and organizing press credentials and guest passes, in contrast to other departments that handle promotion, advertising, or audience management.
Step-by-step explanation:
The individual responsible for keeping detailed ticket sales records and organizing press credentials and guest passes is likely the box office manager. In a theater context, the box office manager oversees ticket sales which includes maintaining accurate records of ticket transactions. Press credentials and guest passes, often related to the admittance of individuals to a theater production, would logically fall under the realm of the box office manager as part of managing ticketing and access to the venue.
While the public relations office promotes the show in the media, and the marketing office strategizes the advertisement for the show, these departments are generally more concerned with outreach and advertising rather than the administrative details of ticket sales and access. Similarly, the literary department, house manager, and ushers serve different aspects of a production that do not primarily involve ticket sales records or credentials.