Mill’s Principle of Utility

A patient comes in complaining of a bad cold. You give them some treatments, and get ready to send them on their way, since they are otherwise quite healthy. However, you remember that you have five patients in the other room who desperately need new organs – heart, kidney, lung, pancreas, and intestines. From the patient’s record, you see that the cold patient is a match for all five patients, but the cold patient cannot live without these organs.
a. At first glance, what would Kant’s Formula of Ends require you to do, based on the Module 2 reading? Why?
b. At first glance, what would Mill’s Principle of Utility require you to do, based on the Module 2 reading? Why?
c. This is a classic thought experiment that raises some problems for the Principle of Utility. What are the problems, and how could Mill get around them?