Determine how to minimize the number of courses needed to satisfy the major requirements

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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Use the attached excel sheet to answer the following question.

To graduate from Southeastern University with a major in operations research (OR), a student must complete at least three math courses, at least three OR courses, and at least two computer courses. Some courses can be used to fulfill more than one requirement: Calculus can fulfill the math requirement; Operations Research can fulfill the math and OR requirements; Data Structures can fulfill the computer and math requirements; Business Statistics can fulfill the math and OR requirements; Computer Simulation can fulfill the OR and computer require- ments; Introduction to Computer Programming can fulfill the computer requirement; Forecasting can fulfill the OR and math requirements; and Data Mining can fulfill the OR, math, and computer requirements. Some courses are prerequisites for others: Calculus is a prereq- uisite for Business Statistics; Introduction to Computer Programming is a prerequisite for Computer Simulation and for Data Structures; and Business Statistics is a prerequisite for Forecasting and Data Mining. Determine how to minimize the number of courses needed to satisfy the major requirements. (Hint: Because Calculus is a prerequisite for Business Statistics, for example, you will need a constraint that ensures that the decision variable for Calculus is greater than or equal to the decision variable for Business Statistics.) 

EA
S
1 Choosing college courses
N345
2
B
6 Math
ni 7 Computer
8
9
10 Course taken
ta
a 12 Prerequisite constraints
23456
13
14
te 15
A
OR
►
Ready
B
16
17
IS 18 Major requirement constraints
19
20 OR
21 Math
22 Computer
23
24 Total courses
25
26
In 27
28
29
30
31
de 32
me 33
ofl
Requirements (along side) that are met by taking available courses (along top) (1 if it fills reqt, 0 if not)
Calculus
OR
Data Structures
Bus Stats
Simulation
P6-40
5
Calculus
Courses taken
C
P6-44
+
OR
Data Structures
E
Required
|
Bus Stats
F
Simulation
G
Intro to Comp Prog
Intro to Comp Prog
% 9
(Calculus for Bus Stats)
(Intro to Comp Prog for Simulation)
(Intro to Comp Prog for Data Structures)
(Bus Stats for Forecasting)
H
Forecasting
Forecasting
.00
00 0
5.000
1
Fo
Ce
+
Transcribed Image Text:EA S 1 Choosing college courses N345 2 B 6 Math ni 7 Computer 8 9 10 Course taken ta a 12 Prerequisite constraints 23456 13 14 te 15 A OR ► Ready B 16 17 IS 18 Major requirement constraints 19 20 OR 21 Math 22 Computer 23 24 Total courses 25 26 In 27 28 29 30 31 de 32 me 33 ofl Requirements (along side) that are met by taking available courses (along top) (1 if it fills reqt, 0 if not) Calculus OR Data Structures Bus Stats Simulation P6-40 5 Calculus Courses taken C P6-44 + OR Data Structures E Required | Bus Stats F Simulation G Intro to Comp Prog Intro to Comp Prog % 9 (Calculus for Bus Stats) (Intro to Comp Prog for Simulation) (Intro to Comp Prog for Data Structures) (Bus Stats for Forecasting) H Forecasting Forecasting .00 00 0 5.000 1 Fo Ce +
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