Final answer:
Nurses in bed management should pair patients with non-contagious conditions; therefore, patients with reactive airway disease and exacerbation of chronic obstructive pulmonary disorder (COPD) can be roomed together, as these are chronic conditions without a contagious aspect.
Step-by-step explanation:
In the context of safety and infection control standards, nurses working in bed management should room patients together who have illnesses that are not likely to cause cross-infection. Considering the diagnoses presented, reactive airway disease and exacerbation of chronic obstructive pulmonary disorder (COPD) are appropriate to room together (Option A) since both conditions are chronic respiratory diseases without a contagious component like the conditions in the other options. In contrast, Clostridium difficile is highly infectious and requires isolation (Option B); tuberculosis is also highly contagious and requires respiratory isolation to prevent the spread (Option C); and a draining leg ulcer positive for methicillin-resistant Staphylococcus aureus (MRSA) represents a significant risk of cross-infection and requires contact precautions (Option D).