Final answer:
The client with an apical pulse of 116, a respiratory rate of 26, and a BP of 94/62 should be assigned to the most experienced RN due to potential hemodynamic instability that requires complex care and close monitoring.
Step-by-step explanation:
The charge nurse is making shift assignments for the medical floor and needs to decide which client should be assigned to the most experienced RN. Among the options given, the client with an apical pulse of 116, a respiratory rate of 26, and a BP of 94/62 should be assigned to the most experienced RN. This client's vital signs indicate potential hemodynamic instability, and therefore, they may require more complex care and close monitoring that an experienced RN could provide.
The other clients described, while they do need care, present with less critical conditions in comparison. The client with CHF being discharged is stable enough to go home, the client with liquid BMs and vomiting may require monitoring for dehydration, and the client with chest pain on inspiration and a nonproductive cough could be managed by an RN with a moderate level of experience.