When Bentham came up with his Hedonic Calculus, he had developed a theory that allowed you to work out what was right or wrong in any given situation.
Euthanasia might lead to the greatest happiness for one person and yet lead to greater unhappiness in another situation.
What is right or wrong is relative to the situation, it is whatever has the best consequences (teleological).
Mill, and many since, have adapted Bentham's 'act' utilitarianism, claiming that we need to make laws based on the principle of utility (choose the laws that lead to the greater good) and then follow those laws.
This means I have a duty to, for example, tell the truth because it generally leads to greater happiness, even if in this case it will lead to more unhappiness.
This is deontological, because it deals with the duty to follow rules. It can be seen as absolutist because there are no exceptions to the rules (if you were allowed to break the rules, this would be act utilitarianism).
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