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 selection 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. However, the situation is complicated when an old friend and colleague reveals, he too, needs treatment. Sir Colenso must choose which patient he will save: a kindly, altruistic poor medical colleague, or an extremely gifted but also very unpleasant, womaniser, bigamist and amoral young artist. Sir Colenso falls instantly in love with the young and vivacious Mrs Dubedat and this makes it even harder for the doctor to separate his motives for the decision of who shall live. Shaw was a vegetarian who opposed research on animals. The play is also a satire about the ignorance and lack of compassion of vivisectors.
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