2. Each professor's annual salary increase is determined by performance in three areas: teaching, research, and service to the university. The administration has come up with the following pairwise comparison matrix for these objectives: Teaching Research Service Teaching 1 3 Professor 1 Professor 2 For research: The administration has compared two professors with regard to their teaching, research, and service over the past year. The pairwise comparison matrices are as follows. For teaching: Professor 1 Professor 2 For service: Professor 1 Professor 2 [ Research 3 # Professor 1 Professor 2 4 [ Service 5 7 1 [ 1 Professor Professor 2 1 3 Professor 1 Professor 2 1 6 1 a. Use AHP and decide which professor should receive a bigger raise. b. Check the 3x3 pairwise comparison matrix (for the objectives) for consistency. (Note that RI=0.58)