(Solved): The Miami Central Hotel has 400 rooms. Every day, the housekeepers clean any room that was occupie ...

The Miami Central Hotel has 400 rooms. Every day, the housekeepers clean any room that was occupied the night before. If a guest is checking out of the hotel, the housekeepers give the room a thorough cleaning to get it ready for the next guest. This takes 30 minutes. If a guest is staying another night, the housekeeper only "refreshes" the room, which takes 15 minutes. Each day, each housekeeper reports for her 6.0-hour shift, then prepares her cart. She pushes the cart to her floor and begins work. She usually has to restock the cart once per day; then she pushes it back to the storeroom at the end of the day and delivers dirty laundry, etc. Here is a timetable: 1) Arrive at work and stock cart (0.10 hrs). 2) Push cart to floor $$(0.10\mathrm{hrs})$$. 3) Take morning break ( $$0.33\mathrm{hrs})$$. 4) Stop for lunch (0.50 hrs). 5) Restock cart ( $$0.30\mathrm{hrs})$$. 6) Take afternoon break ( $$0.33\mathrm{hrs})$$. 7) Push cart back to laundry and store items ( $$0.33\mathrm{hrs})$$. Last night, the hotel was full (all 400 rooms were occupied). People are checking out of 200 rooms. Their rooms will need to be thoroughly cleaned. The other 200 rooms will need to be refreshed. a) The number of minutes per day that each housekeeper can perform actual room cleaning is minutes (enter your response as a whole number). b) Based on the given occupancy and the guests checking out, the total number of minutes of room cleaning required by the Miami Central Hotel today is minutes (enter your response as a whole number). c) The number of housekeepers that are needed today to perform the room cleaning is housekeepers (round your response up to the next whole number). d) The number of housekeepers that would be needed by the hotel for performing thorough cleaning of all the rooms (assuming that all the guests check out) is housekeepers (round your response up to the next whole number).