19 Awarding the Heisman Trophy Find a b and c in the followi

19. Awarding the Heisman Trophy. Find a, b, and c. in the following table summarizing the voting for the 2011 Heisman Trophy, which was awarded to Robert Griffin III.

Solution

Let us use Borda Count Method

BS(Robert Griffin) = 3(405)+2a+1(136) = 1687 =>1215+2a+136 = 1687 => 2a=1687- 1351=336 => a = 336/2= 168

BS(Andrew) = 3(b)+2(250)+166 = 1407 => 3b+500+166=1407 => 3b = 1407-666=741 => b = 741/3=247

BS(Trent Richardson) = 3(138)+2(207)+c = 978 => 414+414+c = 978=> c=978-828=150