Problem: Compare and contrast both utilitarian and deontological approaches to the question of whether 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 distinguishes the use of placebos in this case from the use of placebos in controlled experiments, (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.