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 5 Research 3 7 Service 1 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 1 4 Professor 2 1 For research: Professor 1 Professor 2 Professor 1 Professor 2 3 For service: Professor 1 Professor 2 Professor 1 6 Professor 2 You may use Excel for matrix multiplications and other calculations. a. Check the pairwise comparison matrices for consistency b. Which professor should receive a bigger raise? c. Does the AHP indicate how large a raise each professor should be given? [