Final answer:
To determine if it is legally possible to accept the assignment, we need to consider the rules and regulations regarding duty time and rest requirements for flight crew members.
Step-by-step explanation:
The question pertains to the legality of accepting an assignment to deadhead to LAX after completing a set of flights. To determine if it is legally possible, we need to consider the rules and regulations regarding duty time and rest requirements for flight crew members.
According to FAA regulations, flight crew members are subject to duty time limitations to ensure they have adequate rest. The maximum duty period for a flight crew member is generally limited to 14 hours. However, there are exceptions and specific rules depending on various factors such as time zone changes and recovery time. To determine if you can legally accept the assignment, we need more information about your previous duty time and rest before accepting the deadhead to LAX.
If your previous duty time and rest complied with the regulations and you have enough time left within the maximum duty period, it is possible to legally accept the assignment. On the other hand, if your previous duty time has exceeded the limits or if you don't have sufficient rest time remaining, accepting the assignment would not be legal.