The Doctor's Dilemma is a play by George Bernard Shaw first staged in 1906. It is a problem play about the moral dilemmas created by limited medical resources, and the conflicts between the demands of private medicine as a business and a vocation. The eponymous dilemma of the play is that of the newly honoured doctor Sir Colenso Ridgeon, who has developed a revolutionary new cure for tuberculosis. However, his private medical practice, with limited staff and resources, can only treat ten patients at a time. From a group of fifty patients he has selected ten he believes he can cure and who, he believes, are most worthy of being saved. However, when he is approached by a young woman, Jennifer Dubedat, with a deadly ill husband, Louis Dubedat, he admits he can, at a stretch, save one more patient, but that the individual in question must be shown to be most worthy of being saved.

References:
https://en.wikipedia.org/wiki/The_Doctor%27s_Dilemma_(play)