Kelly Spaugh, course scheduler of a technical college's business department, needs to assign instructors to courses next semester. As a criterion for judging who should teach each course, Kelly reviews the student evaluations of teaching for the past two years. Because each of the four professors taught each of the four courses at one time or another during the two-year period. Kelly is able to determine a course rating for each instructor. These ratings are shown in the table below. Find the best assignment of professors to courses to maximize the overall teaching ratings.
Course
Professor Statistics Management Finance Economics
Strausbaugh 70 60 80 75
Kelley 80 60 80 75
Davidson 65 55 80 60
Merkle 95 40 65 55