Final answer:
The auxiliary and utility hydraulic pump low pressure lights usually go out when the system's pressure reaches the manufacturer-designed minimum operational pressure threshold, often in the range of 3,000 to 3,500 psi.
Step-by-step explanation:
The subject of this question is squarely within the field of Engineering, specifically relating to the operation of hydraulic systems in aircraft or machinery. The auxiliary and utility hydraulic pump low pressure lights typically go out when the hydraulic system's pressure reaches a certain level, signifying that the hydraulic pumps are operating within the normal pressure range. While the exact pressure at which these lights go out can vary depending on the specific design of the system, it is generally around the system's minimum operational pressure threshold as designed by the manufacturer, which could be in the range of 3,000 to 3,500 psi (pounds per square inch) for many aircraft systems.