There is a building with 50 floors. Every morning 100 guest, 2 on each floor, come to use a single elevator. The elevator has a max capacity of 10 users. The elevator begins on the 50th floor and travels down. Once the elevator achieves maximum capacity, the elevator travels only one additional floor. At this floor, everyone on the elevator exits and those waiting (who have not yet ridden in the elevator) get on the elevator, then the elevator continues with only these new riders. Everyone above the 1st floor desires to make it to the first floor while those on the first floor wish to make it to the fiftieth floor.

How many additional elevators should this building have (assume all elevators begin on the fiftieth floor)? Provide a quantifiable justification to support your answer (e.g. defend why 2 elevators are better than any other case, or 3, or 4 or...so on.)

Posted (edited)

There is a building with 50 floors. Every morning 100 guest, 2 on each floor, come to use a single elevator. The elevator has a max capacity of 10 users. The elevator begins on the 50th floor and travels down. Once the elevator achieves maximum capacity, the elevator travels only one additional floor. At this floor, everyone on the elevator exits and those waiting (who have not yet ridden in the elevator) get on the elevator, then the elevator continues with only these new riders. Everyone above the 1st floor desires to make it to the first floor while those on the first floor wish to make it to the fiftieth floor.

How many additional elevators should this building have (assume all elevators begin on the fiftieth floor)? Provide a quantifiable justification to support your answer (e.g. defend why 2 elevators are better than any other case, or 3, or 4 or...so on.)

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