Final answer:
The fuels preventive maintenance supervisor reports to the technical director for technical supervision of equipment inspection and maintenance, paralleling the director's role in overseeing building and safety in productions.
Step-by-step explanation:
The fuels preventive maintenance supervisor is typically responsible for ensuring the proper inspection and maintenance of equipment related to fuels management. In the context provided, where roles such as the technical director, costume shop manager, and master electrician are mentioned, it can be inferred that the individual responsible for the technical supervision of operators' equipment inspection and maintenance could be the technical director. The technical director is in charge of overseeing the building of the set and maintaining the safety of the production, which parallels the supervisory role required for equipment inspection and maintenance. Therefore, the fuels preventive maintenance supervisor is likely to report to the technical director, who ensures that all technical aspects of a production, including equipment maintenance, meet the necessary standards and regulations.