To graduate from Pace University with a major in operations research (OR), a student must complete at least two math courses, at least two OR courses, and at least two computer courses.Some courses can be used to fulfill more than one requirement:Calculus can fulfill the math requirementOperations Research can fulfill the math and OR requirementsData Structures can fulfill the computer and math requirementsBusiness Statistics can fulfill the math and OR requirementsComputer Simulation can fulfill the OR and computer requirementsIntroduction to Computer Programming can fulfill the computer requirementForecasting can fulfill the OR and math requirements.Complete this template (show all formulas) and use Solver to minimize the number of courses needed to satisfy the major requirements (there could be multiple optimal solutions). Please also paste any Solver window used as well - thanks!I will also attach a screenshot of the excel template for convinience and to help replicate. A1 Pace University2BCCalculus010DOR110EData Structure011FBus Stats110GSimulation1013 Inputs (requirements)4 OR5 Math6 Computer78 Decision Variables (binary)9 Courses taken1011 Objective = Minimize Output12 # courses taken131415161718 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;19 Data Structures can fulfill the computer and math requirements; Business Statistics can fulfill the math and OR requirements; Computer Simulation can fulfill the OR and20 computer requirements; Introduction to Computer Programming can fulfill the computer requirement; and Forecasting can fulfill the OR and math requirements. Note that21 this information has already been entered in the Template's inputs (green cells).22HIntro Comp Prog001IForecasting110JKLConstraints: number of courses≤<<To graduate from Pace University with a major in operations research (OR), a student must complete at least two math courses, at least two OR courses, and at least twocomputer courses.2324 Complete this template and use Solver to minimize the number of courses needed to satisfy the major requirements (there could be multiple optimal solutions).25

Answered: ses. Some courses can be used to…

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Publisher:WINSTON, Wayne L.

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To graduate from Pace University with a major in operations research (OR), a student must complete at least two math courses, at least two 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.

Complete this template (show all formulas) and use Solver to minimize the number of courses needed to satisfy the major requirements (there could be multiple optimal solutions). Please also paste any Solver window used as well - thanks!

I will also attach a screenshot of the excel template for convinience and to help replicate.

A
1 Pace University
2
B
C
Calculus
0
1
0
D
OR
1
1
0
E
Data Structure
0
1
1
F
Bus Stats
1
1
0
G
Simulation
1
0
1
3 Inputs (requirements)
4 OR
5 Math
6 Computer
7
8 Decision Variables (binary)
9 Courses taken
10
11 Objective = Minimize Output
12 # courses taken
13
14
15
16
17
18 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;
19 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
20 computer requirements; Introduction to Computer Programming can fulfill the computer requirement; and Forecasting can fulfill the OR and math requirements. Note that
21 this information has already been entered in the Template's inputs (green cells).
22
H
Intro Comp Prog
0
0
1
I
Forecasting
1
1
0
J
K
L
Constraints: number of courses
≤
<
<
To graduate from Pace University with a major in operations research (OR), a student must complete at least two math courses, at least two OR courses, and at least two
computer courses.
23
24 Complete this template and use Solver to minimize the number of courses needed to satisfy the major requirements (there could be multiple optimal solutions).
25

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We will first prepare input table.

1 if that course satisfy that subject and 0 if not .

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Follow-up Question

Thank you for the comprehensive answer and I agree with the methodology and the answer it produced. However, I am just wondering "how" the solution is feasable given the promt says it needs to take "at lease 2 courses in 3 subject areas." Even if the 3 subject selected fulfill the major/specialization requirements, wouldn't it be breaking the rules, if you will, that the studen wouldn't take enough courses in general to qualify for graduation?

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