Final answer:
The optimal nurse response is to encourage the wife to take care of herself while ensuring continuous bedside support for the patient, reflecting a compassionate approach to hospice care.
Step-by-step explanation:
The best response by the nurse in this scenario is balancing both empathy and practicality. Response three, "You need to take care of yourself; go home and shower, and I'll stay at his bedside while you are gone," acknowledges the wife's need for self-care while ensuring that the patient is not left alone. It's crucial in a hospice setting, where the focus is on providing a death with dignity and comfort, to support both the patient and their family members during this challenging time.