Explanation:

The Omni-Channel Supervisor tab is the primary tool within the Lightning Service Console that allows supervisors and managers to monitor the real-time status of their agents and the work they are handling.

Real-time Monitoring:
This tab provides a live view of which agents are online, their current status (e.g., Available, Busy, On Break), and the cases or work items they are actively engaged with. This is crucial for a contact center manager to understand agent availability and workload distribution.
Workload Management:
Managers can see the queue backlog and reassign work items if an agent becomes unavailable or if a specific queue is getting overloaded.
Agent Management:
It provides visibility into an agent's capacity and how many work items they are handling, enabling managers to make informed decisions about routing and agent assignments.

Why the other options are incorrect:
A. Omni-Channel Analytics: While Omni-Channel Analytics provides valuable insights, it's focused on historical data and trends (e.g., average handle time, case volume over time). It does not provide the real-time view of agent availability that a manager needs to see who is ready to accept a new case right now.
B. Omni-Channel Utility component: The Omni-Channel Utility component is what agents use to manage their own status (e.g., set themselves to Available or Busy) and accept new work items. It is not a management tool for supervisors to monitor the entire team. It's the agent's interface, not the manager's dashboard.