Final answer:
The term that best describes what Yan's hotel is experiencing when it has only had a 50 percent capacity of guests and many of the rooms are empty is a deficit.
Step-by-step explanation:
The term that best describes what Yan's hotel is experiencing when it has only had a 50 percent capacity of guests and many of the rooms are empty is deficit. A deficit refers to the annual budget shortfall between revenues and expenditures. In this case, the hotel is not able to generate enough revenue to cover its expenses, resulting in empty rooms and a financial shortfall.