Daniel? Glaser, chairman of the College of San? Antonio's business? department, needs to assign professors to courses next semester. As a criterion for judging who should teach each? course, Professor Glaser reviews the past 2? years' teaching evaluations? (which were filled out by? students). Since each of the four professors taught each of the four courses at one time or another during the? 2-year period, Glaser is able to record a course rating for each instructor. These ratings are shown in the following table
Course
Professor Statistics Management Finance Economics
W.W. Fisher 70 60 80 75
D. Golhar 85 40 80 60
Z. Hug 55 80 65 55
N. K. Rustagi 65 75 70 50
a. find the assignment of professors to courses to maximize the overall teaching ratings
b. Assign the professors to courses with the exception that professor fisher cannot teach statistics.