06 Jun '05 16:40

Tutankhamun wants to build a Great Pyramid for his after-life. It must be composed of cubical stone blocks and its base must be square. Each level of the Pyramid will be 1 block shorter per side than the level below it. Tutankhamun has available a workforce of 35,000 slaves. Each morning the available labor pool is divided into workgroups of 17 slaves each. Any remaining slaves that cannot form a full workgroup will get the day off, but are available for work the following day. Each workgroup can lay 1 block of the Pyramid each day. However, the pitiless desert heat causes the death of 1 member of each workgroup per day. Work stops on the Pyramid when it can be shown that there will not be sufficient slaves available to raise the Pyramid another level.

1. How many levels will it have?

2. How many of the original slaves will survive the construction?

3) How many days will it take to construct the Pyramid?

1. How many levels will it have?

2. How many of the original slaves will survive the construction?

3) How many days will it take to construct the Pyramid?