Final answer:
The correct answer for the approval of time trades involving personnel of unequal rank is most likely B. Shift Supervisor, who manages personnel and resources during a shift and has the authority to make such approvals.
Step-by-step explanation:
When it comes to all time trades that involve personnel of unequal rank or personnel not permanently assigned to the station, such transactions generally need to be supervised and approved by someone in a position of authority within the organization. Although practices can vary by organization, the approval is typically required by either a Personnel Manager or a Shift Supervisor. However, in this context, which seems to be related to a fire department or a similar emergency service, it's most likely that the correct answer is B. Shift Supervisor. The Shift Supervisor is responsible for the management of personnel and resources during a shift and would have the authority to approve trades involving personnel. It's less likely to be the Personnel Manager, as they usually handle broader HR functions, or the Fire Chief, as this person is in charge of the entire department and may not be involved in day-to-day staffing decisions. The Union Representative might be involved in discussions about trades or swaps but doesn't usually have the authority to approve them.