Ok, so the resource allocation of the moon/earth society is completely broken and the moon-dwelling oligarchs sucked. Agreed.
But the end of the movie makes the computer system unable to differentiate between the handful of moon lords vs the unwashed masses on the earth’s surface. There are not enough resources to go around in Elysium. All that medicine and food from the moon bastards is gonna run out in about ten minutes and then the last bits of society will finish collapsing. Any hope of ever rebuilding a functioning society ends about a week after the end of that movie.