The department of management science at Tech offers four sections of introductory quantitative methods in the fall semester, each taught by a different teacher. A group of students have developed the following criteria to rank the sections: time and day, grading history of the instructor, classroom atmosphere (i.e., relaxed or formal), amount of homework, and the teacher’s sense of humor. Following are the students’ preferences for these criteria:

Criterion Time/Day Grading Atmosphere Homework Jokes Time/day 1 2 7 3 8 Grading 1/2 1 6 3 9 Atmosphere 1/7 1/6 1 1/4 2 Homework 1/3 1/3 4 1 7 Jokes 1/8 1/9 1/2 1/7 1 Following are the students’ pairwise comparisons of the sections for the criteria:

Time/Day Section 1 2 3 4 1 1 3 5 7 2 1/3 1 2 5 3 1/5 1/2 1 3 4 1/7 1/5 1/3 1 Grading Section 1 2 3 4 1 1 1/7 1/8 2 2 7 1 2 6 3 8 1/2 1 5 4 1/2 1/6 1/5 1 Atmosphere Section 1 2 3 4 1 1 6 3 3 2 1/6 1 3 2 3 1/3 1/3 1 1 4 1/3 1/2 1 1 Homework Section 1 2 3 4 1 1 1/4 1/8 1/2 2 4 1 1/3 4 3 8 3 1 5 4 2 1/4 1/5 1 Jokes Section 1 2 3 4 1 1 1/5 3 4 2 5 4 6 7 3 1/3 1/6 1 3 4 1/4 1/7 1/3 1

a. Using AHP, rank the courses for the students.

b. Using this framework and these criteria, but with your own preferences for a course with multiple sections that you are familiar with at your school, develop a ranking of the sections. LO.1