15.9Daniel Glaser, chairman of the College of San Antonio\'s business department
ID: 366953 • Letter: 1
Question
15.9Daniel 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 profes- sors 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 a) Find the assignment of professors to courses to maximize the overall teaching rating b) Assign the professors to the courses with the exception that Professor Fisher cannot teach statistics. COURSE PROFESSOR STATISTICS MANAGEMENT FINANCE ECONOMICS W. W. Fisher D. Golhar Z. Hug N. K. Rustagi 40 75 60 65 95 85 80 0Explanation / Answer
The rating table is as below:-
Course
Professor
Statistics
Management
Finance
Economics
W.W. FISHER
90
65
95
40
D. GOLHAR
70
60
80
75
Z. HUG
85
40
80
60
N.K. RUSTOGI
55
80
65
55
In order to find the best assignment, we will find the maximum rating for each professor and assign that subject to him
Thus he above table will be in the form as below:-
Assigned Positions
Total
Professor
Statistics
Management
Finance
Economics
W.W. FISHER
0
0
1
0
1
D. GOLHAR
0
0
0
1
1
Z. HUG
1
0
0
0
1
N.K. RUSTOGI
0
1
0
0
1
Total
1
1
1
1
4
So the effective rating will be as below:-
Rating = 1*95 + 1*75+ 1*85+ 1*80
Rating =335
Course
Professor
Statistics
Management
Finance
Economics
W.W. FISHER
90
65
95
40
D. GOLHAR
70
60
80
75
Z. HUG
85
40
80
60
N.K. RUSTOGI
55
80
65
55
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