Final answer:
To reset the cycle in Cycle 1, typically in commercial trucking regulations, 36 consecutive hours of off-duty time must be taken.
Step-by-step explanation:
The question appears to pertain to regulations regarding driving hours, likely under a transportation or commercial trucking framework. In most jurisdictions, these regulations are in place to ensure that drivers have adequate rest and to prevent fatigue-related incidents. For Cycle 1 in commercial trucking in some countries, such as Canada, the rule typically requires 36 consecutive hours of off-duty time to reset the cycle.
If we are dealing with a mathematical simulation or an analogy to another type of cycle, the relevance of the 12 hours on or operating at half-power for 24 hours hints at an energy consumption or efficiency scenario. Without further context, it's challenging to provide a definitive answer, so it is assumed the question relates to the more common context of commercial driving regulations.