Daniel Glaser, chairman of the College of San Antonio’sbusiness department, needs to assign professors to courses nextsemester. 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 eachinstructor. These ratings are shown in the following table.a) Find the assignment of professors to courses to maximize theoverall teaching rating.b) Assign the professors to the courses with the exception thatProfessor Fisher cannot teach statistics. PXPROFESSOR COURSE STATISTICS MANAGEMENT FINANCE ECONOMICSW. W. Fisher 90 65 95 40D. Golhar 70 60 80 75Z. Hug 85 40 80 60N. K. Rustagi 55 80 65 55

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 18PT: To allocate annual bonuses, a manager must choose his top four employees and rank them first to...
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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 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. PX
PROFESSOR

COURSE

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. Rustagi 55 80 65 55

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