The quantitative methods department head at a major midwestern university will be scheduling faculty to teach courses during the coming autumn term. Four core courses need to be covered. The four courses are at the undergraduate (UG), master of business administration (MBA), master of Science (MS), and doctor of philosophy (Ph.D.) levels. Four professors will be assigned to the courses, with each professor receiving one of the courses. Student evaluations of professors are available from previous terms. Based on a rating scale of 4 (excellent), 3 (very good), 2 (average), 1 (fair), and 0 (poor), the average student evaluations for each professor are shown. Professor D does not have a Ph.D. and cannot be assigned to teach Ph.D. level course. The department head needs to make a teaching assignment by maximizing the student evaluation ratings.     Courses Professor UG MBA MS Ph.D A 2.8 2.2 3.3 3.0 B 3.2 3.0 3.6 3.6 C 3.3 3.2 3.5 3.5 D 3.2 2.8 2.5 --   Prepare the objective function for this scenario. List down all the constraints to be considered.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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  1. The quantitative methods department head at a major midwestern university will be scheduling faculty to teach courses during the coming autumn term. Four core courses need to be covered. The four courses are at the undergraduate (UG), master of business administration (MBA), master of Science (MS), and doctor of philosophy (Ph.D.) levels. Four professors will be assigned to the courses, with each professor receiving one of the courses. Student evaluations of professors are available from previous terms. Based on a rating scale of 4 (excellent), 3 (very good), 2 (average), 1 (fair), and 0 (poor), the average student evaluations for each professor are shown. Professor D does not have a Ph.D. and cannot be assigned to teach Ph.D. level course. The department head needs to make a teaching assignment by maximizing the student evaluation ratings.

 

 

Courses

Professor

UG

MBA

MS

Ph.D

A

2.8

2.2

3.3

3.0

B

3.2

3.0

3.6

3.6

C

3.3

3.2

3.5

3.5

D

3.2

2.8

2.5

--

 

  1. Prepare the objective function for this scenario.
  2. List down all the constraints to be considered.
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