[9-41] Roscoe Davis, chairman of a colleges business department, has decided to
ID: 3419912 • Letter: #
Question
[9-41] Roscoe Davis, chairman of a colleges business department, has decided to apply a new method in assigning professors to courses next semester. As a criterion for judging who should teach each course, Professor Davis reviews the past two 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 twoyear period, Davis is able to record a course rating for each instructor. These ratings are shown in the table. Find the best assignment of professors to courses to maximize the overall teaching rating.
PLEASE PROVIDE A DETAIL SOLUTION.
Course
Professor
Statistics
Management
Finance
Economics
Anderson
90
65
95
40
Sweeney
70
60
80
75
Williams
85
40
80
60
McKinney
55
80
65
55
Course
Professor
Statistics
Management
Finance
Economics
Anderson
90
65
95
40
Sweeney
70
60
80
75
Williams
85
40
80
60
McKinney
55
80
65
55
Explanation / Answer
We want to maximize the overall rating which can be done by selecting the best rated professor in the subject,
we need to maximize
Z = Stats rating + Management rating + Finance Rating + Economics Rating with the constratint that each professor takes only one course
hence the best possible combination will be
Finance - Anderson
Statistics - Williams
Management - McKinney
Economics - Sweeney
Hence the overall score wil be equal to 95 + 85 + 80 + 75 = 335
Hence average score will be equal to 335/4 = 83.75
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