Here's Where You Come In ...

As an expert in the mathematics of voting, you are approached by Ace and offered a $25,000 consulting fee if you can show that Ace is really the number one cola.

The Borda method seems very natural here so you try modifying the point assignments to see if Ace ever comes in first. Of course, giving more points for a second place vote than a first place vote, or more for fourth place than second, and so on, would be deceptive and companies are never deceptive in their advertisements.

Try to find a point assignment in which Ace comes in first. Just enter your values in the blanks below (from first place to last place), hit "Calculate" and the computer will calculate the total points for each brand of cola.

Here's the table again:
 
 
 

 A
B C
C
D
B
A
D
B
A
C
D
B
A
B
D
C
A
D
C