Final answer:
Takeoff with up to 500 lb of fuel in the auxiliary tank is permitted, provided there is at least 250 lb of fuel in each wing tank and 500 lb of fuel in the tail tank.
Step-by-step explanation:
According to the given information, you are allowed to take off with up to 500 lb of fuel in the auxiliary tank. However, there are certain requirements for the fuel distribution in the other tanks.
To meet the fuel distribution requirements, you must ensure that there is at least 250 lb of fuel in each wing tank and 500 lb of fuel in the tail tank.
In summary, you can take off with a maximum of 500 lb of fuel in the auxiliary tank, but you must have at least 250 lb of fuel in each wing tank and 500 lb of fuel in the tail tank. This ensures a balanced distribution of fuel for safe and efficient flight.