2002 Gauss 7 Problem 14

The first six letters of the alphabet are assigned values A = 1, B = 2, C = 3, D = 4, E = 5, and F = 6. The value of a word equals the sum of the values of its letters. For example, the value of BEEF is 2 + 5 + 5 + 6 = 18. Which of the following words has the greatest value?

\textbf{(A)}\ \text{BEEF}\quad \textbf{(B)}\ \text{FADE}\quad \textbf{(C)}\ \text{FEED}\quad \textbf{(D)}\ \text{FACE}\quad \textbf{(E)}\ \text{DEAF}

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Gauss contests here.