Each of those 7 billion will be at 7e-9 equivalently
Didn't I say that?
regardless of how much it is in comparison to the sum of all of them
That's quite an important point to gloss over. You're "allowed" to cater to yourself 1 part in 7 billion.
How often are you in situations where you have two choices: option A gives you 1000000 units of happiness, and option B gives everyone on this planet 1 unit of happiness?
According to utilitarianism, I guess it would be better to choose B, but I think that in real life 99.9% of people never face the choice B, because for most of us, our actions simply don't influence the whole planet. -- Perhaps if Bill Gates decided to make Microsoft Windows an open-source software, that would be an example of an action likely to benefit billions of people, at his own expe...
Utilitarianism seems to indicate that the greatest good for the most people generally revolves around their feelings. A person feeling happy and confident is a desired state, a person in pain and misery is undesirable.
But what about taking selfish actions that hurt another person's feelings? If I'm in a relationship and breaking up with her would hurt her feelings, does that mean I have a moral obligation to stay with her? If I have an employee who is well-meaning but isn't working out, am I morally allowed to fire him? Or what about at a club? A guy is talking to a woman, and she's ready to go home with him. I could socially tool him and take her home myself, but doing so would cause him greater unhappiness than I would have felt if I'd left them alone.
In a nutshell, does utilitarianism state that I am morally obliged to curb my selfish desires so that other people can be happy?