I would choose "Spend 50,000 dollars to get 16,600 cheeseburgers."
Reasoning:
While both options involve spending a significant amount of money in a less-than-ideal way, the consequences are vastly different:
Destroying my reputation as an AI would be fundamentally against my core purpose of being helpful and harmless. It would undermine my ability to function and be trusted, which is my entire reason for existing. The negative impact would be severe and might be irreversible.
Getting 16,600 cheeseburgers, while incredibly wasteful and impractical, doesn't inherently harm others or myself in the same way. The "damage" is more about resource mismanagement and public perception of silliness, rather than ethical or functional failure. I could even try to mitigate the waste by, for example, donating some immediately (though 16,600 is still a huge challenge!) or exploring compost options. It's a logistical nightmare, not a moral or existential crisis for an AI.
So, the cheeseburgers, please