Imagine the following scenario: Rufus and Cornelius are running in an election for Prime Minister. Cornelius has $1,000 to spend in advertising, while Rufus only has $500.

Imagine the following scenario: Rufus and Cornelius are running in an election for Prime Minister. Cornelius has $1,000 to spend in advertising, while Rufus only has $500.

There are 5 districts participating in this election. In order to win the election, a candidate must win 3 of 5 districts. Whichever candidate spends the most in advertising in a district will $always$ win that district.

Assume that Cornelius distributes his advertising budget equally among the 5 districts. Is it possible for Rufus to win the election?