S10.30 The Winter Garden hotel has 400 rooms. Every day, maids clean each room that was occupied the night before. If a client is checking out of the hotel, the maids completely clean the room to make it ready for the next client. This takes about 30 minutes. If a guest is staying another night, the maid just tidies up the room, which takes 15 minutes. Daily, each waitress reports for her 6-hour shift, then prepares her cart. She pushes the cart to her floor and begins to work. Typically, she must restock her cart once a day; She then pushes him back to the warehouse at the end of the day and puts away her work tools. Below is a time table: 1) Arrive at work and stock the cart (10 minutes). 2) Push the cart to her floor (10 minutes). 3) Take a morning break (15 minutes). 4) Stop to eat (30 minutes). 5) Restock the cart (20 minutes). 6) Take an afternoon break (15 minutes). 7) Push the cart to wash and store tools (20 minutes). Last night the hotel was full (all 400 rooms were occupied); Today 200 rooms will be vacated. These must be cleaned completely; the other 200 will just have to be fixed. a) How many daily minutes of room cleaning can each maid actually perform? b) How many minutes of cleaning will the Winter Garden need today? c) How many maids will be needed today to clean the hotel? d) If all the guests leave the hotel this morning, how many maids will be needed to clean the 400 rooms?