The more I think about it, the more hard this is a philosophical question.
The basic scenario, there are two people, John and Jim. John's life is in danger. He will definitely die, unless you murder Jim, in which case he will definitely live. Is it morally acceptable to kill Jim?
What if John is on the verge of finding the cure for cancer and Jim is a murderer?
What if John is 5 and Jim is 70?
What if killing Jim only has a 1/2 chance to save John?
What if there are 10 Johns? 1000 Johns? 1000000 Johns?
What is the relative valuation between one man murdered and one man let die by inaction?
Does that make it okay to kidnap people off the street and harvest their organs to save other lives?
If you reduce the question to utilitarianism and suggest that the moral value of any decision is a mathematical calculation of the consequences, then it follows that it is a moral necessity to sacrifice some to save others, and which sacrifices you make become the result of sabermetric analysis of the total value of a person's life.
While you could logically argue for that point of view, in practice it starts to resemble a scifi dystopia awfully fast, because it inherently does not consider all humans as equal and does not respect a person's ownership of their own life. Any solution to the equation that does not have those issues forces you to let John die because he's the one whose life is currently in danger.