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: 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 Professor 1 Professor 2 [14141] For research: Professor 1 Professor 2 Professor 1 Professor 2 [13311] For service: Professor 1 Professor 2 Professor 1 Professor 2 [16161] a. Use AHP and decide which professor should receive a bigger raige. ( 20 pts.) b. Check the 33 pairwise comparison matrix (for the objectives) for consistency. (Note that RI=0.58)(10pts.)