Final answer:
The production switcher should be situated near the video monitors in the control room for efficient monitoring and quick decision-making during broadcasts.
Step-by-step explanation:
The production switcher should be located close to the video monitors in the control room. This setup is essential because the production switcher is used to switch between different video feeds and to compose the final program output, which needs to be closely monitored in real-time. Therefore, proximity to the video monitors allows for immediate feedback and ease of communication with other control room personnel. Furthermore, having the switcher close to the monitors facilitates quick decision-making and adjustments, which are key in a live broadcast environment.