Use the attached template to find the solution. 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 requirements; 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 prerequisite 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.)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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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 requirements; 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 prerequisite 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.)

1
455 WNH
2
6
89 1012
A
OR
Math
7 Computer
Choosing college courses
33
34
X
10 Course taken
✓ fx
B
3 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
Calculus
12 Prerequisite constraints
13
14
15
16
17
18 Major requirement constraints
19
20 OR
21 Math
22 Computer
23
24 Total courses
25
26
27
28
29
30
31
€32
C
Courses taken
D
OR Data Structures
E
Required
!!!
Bus Stats
IM
F
81
Simulation
V
G
$ % 9
Intro to Comp Prog
Intro to Comp Prog
(Calculus for Bus Stats)
(Intro to Comp Prog for Simulation)
(Intro to Comp Prog for Data Structures)
(Bus Stats for Forecasting)
H
-0
.00
Forecasting
Forecasting
.00
0
1
Transcribed Image Text:1 455 WNH 2 6 89 1012 A OR Math 7 Computer Choosing college courses 33 34 X 10 Course taken ✓ fx B 3 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 Calculus 12 Prerequisite constraints 13 14 15 16 17 18 Major requirement constraints 19 20 OR 21 Math 22 Computer 23 24 Total courses 25 26 27 28 29 30 31 €32 C Courses taken D OR Data Structures E Required !!! Bus Stats IM F 81 Simulation V G $ % 9 Intro to Comp Prog Intro to Comp Prog (Calculus for Bus Stats) (Intro to Comp Prog for Simulation) (Intro to Comp Prog for Data Structures) (Bus Stats for Forecasting) H -0 .00 Forecasting Forecasting .00 0 1
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