9. (Weber, 1990) Consider the following two groups of words:

Group 1 Group 2 AREA ERST FORT FOOT HOPE HEAT SPAR PAST THAT PROF TREE STOP All the words in groups 1 and 2 can be formed from the nine letters A, E, F, H, 0, P, R, S, and T. Develop a model to assign a unique numeric value from 1 through 9 to these letters such that the difference between the total scores of the two groups will be as small as possible. [Note: The score for a word is the sum of the numeric values assigned to its individual letters.]