If the productivity standard at a 400-room hotel is 30 minutes to clean one guestroom, how many labor hours are needed to clean one guestroom at 80% occupancy?

To determine the number of labor hours needed to clean one guestroom at an 80% occupancy rate in a 400-room hotel, it’s essential to first understand the relationship between room occupancy, cleaning time, and labor hours.

When the hotel is at 80% occupancy, it means that out of the 400 rooms, only a proportion of them are occupied and need cleaning. To calculate the number of rooms that require cleaning, you multiply the total number of rooms by the occupancy rate:

400 rooms × 80% = 320 rooms.

Now, the productivity standard indicates that it takes 30 minutes to clean one guestroom. To convert this cleaning time into hours, you divide the 30 minutes by 60:

30 minutes ÷ 60 = 0.5 labor hours per room.

Now, to find the total labor hours necessary to clean all the occupied rooms, multiply the number of rooms that need cleaning by the labor hours required per room:

320 rooms × 0.5 hours/room = 160 labor hours.

Therefore, the total labor hours required to clean the guestrooms at 80% occupancy in this scenario is 160 hours, making it the correct choice.