All advanced civilisations have to ask themselves how to best optimize their supply lines. Handing over that duty to AI would give an efficient and most importantly an impartial delivery system. People are just numbers to the machines, they don't pick favourites... or do they? What's the loophole?
The delivery drones could allocate resources based on the number of citizens. One package per head. However, this may not be efficient. A child has higher caloric needs than an older person. Different jobs require varying levels of effort. Individuals have varying metabolic rates and so on... So the drones would profile individuals over time to best serve their caloric needs and optimize resource allocation. This would usher in an age of abundance. However enough isn't always enough. The system might be perfect but the people aren't. There's always people trying to get a bigger share of the pie.
So the question stands: how do you abuse this system? How do you cheat the super smart hive-minded pizza delivery droids to get seconds? (Not just pizza. It's a joke.)
EDIT: The drones are tasked with "feed every human being" and are set permanently on [optimize]. Left to their own devices the drones will try out different tactics to best "feed every human being". [Optimize] makes sure that the drones improve themselves in order to "feed every human being". If humans get in its way, then it cannot "feed every human being". If it kills all humans, then it cannot "feed every human being". If food is insufficient, then it can no longer "feed every human being". If a person refuses to eat, then it takes the package away and feeds someone else (that person has been fed but they did not eat). If the last person on earth refuses to eat, it will have no choice but to force-feed that person so it can continue to "feed every human being". If a Karen complains that the drones delivered food to the baby but the baby did not eat, [optimize] will make sure the drones adapt accordingly. If a Karen complains about her allergies or that her child died of food poisoning, [optimize] will make sure the drones adapt accordingly. If a meteor threatens to kill 100% of all humans, [optimize] will make sure the drones adapt accordingly.