The 100 people decide to use coins made from an abundantly available mineral. 10

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The 100 people decide to use coins made from an abundantly available mineral. 10,000 coins are minted and each person initially receives 100 coins (Everyone starts off with the same purchasing power). Each coin is called a Percunium. We will assume everyone is honest, and no one tries to counterfeit Percunium. Eventually, the 100 people decide that they want more denominations. They unanimously decide to introduce 10,000 new coins of Percunium into the system exactly one month from now. You have been given the responsibility of distributing the 10,000 new coins of Percunium such that each person's purchasing power is unchanged after the distribution process. Assume that you know each person's store of Percunium at the time of the distribution: Person 1 has x1 coins, Person 2 has x2 coins,...., Person 100 has x100 coins. Figure out the method you will use to distribute the 10,000 new Percunium such each person's purchasing power remains unchanged after the distribution.

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