You
and 9 of your wealthy friends attend a political fundraiser. You
each can donate up to $1,000,000 to the candidate. Let M be the sum
of all 10 donations; it is convenient to write
M=Mi+M-i,
where Mi is the donation by person i, and M-i
is
the sum of the donations by the other people. Suppose Adelsoros
wants to have as much money as possible be donated. He will still
offer to donate $1,000,000 as long as the sum...