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In the context of container technology architecture, the tier that operates and manages containers according to the instructions provided by the orchestrator is the one labeled as Hosts. This tier, also known as the compute tier, consists of the machines or servers that run the containerized applications. The orchestrator communicates with the hosts to deploy, manage, and scale containers based on resource availability and specific directives.

The orchestrator's role is to provide coordination and management, but it’s the hosts that execute the actual container workloads, making them vital components in the architecture.

As for the other tiers, the orchestrator is responsible for the overall management and scheduling of containers, while the registry is where container images are stored and retrieved, and the network tier handles communication between containers and services. Thus, the hosts serve as the operational layer that carries out the orchestrator's tasks, validating why this choice is the correct one.