Compare and contrast both utilitarian and deontological approaches to the question of the extent to which it would be ethically permissible for physicians to prescribe placebos to patients they suspect of having psychosomatic pain.

1. Compare and contrast both utilitarian and deontological approaches to the question of the extent to which it would be ethically permissible for physicians to prescribe placebos to patients they suspect of having psychosomatic pain. Be sure to clearly explain (a) what the relevant facts to the case are (b) whether the practice of prescribing placebos in this case involves deception and why, (c) whether the practice of prescribing placebos in this case could be justified via the principle of double effect, and (d) how the hedonic calculus and the categorical imperative apply to the case and why.