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. Inputs (requirements) Calculus OR Data Structure Bus Stats Simulation Intro Comp Prog Forecasting OR 0 1 0 1 1 0 1 Math 1 1 1 1 0 0 1 Computer 0 0 1 0 1 1 0 Constraints: number of courses Needs to be filled in ≥ Needs to be filled in Needs to be filled in ≥ Needs to be filled in Needs to be filled in ≥ Needs to be filled in Decision Variables (binary) Courses Taken Needs to be filled in Needs to be filled in Needs to be filled in Needs to be filled in Needs to be filled in Needs to be filled in Objective = Minimize Output # courses taken (Solution) Needs to be filled in

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter6: Optimization Models With Integer Variables

Section6.4: Fixed-cost Models

Problem 16P

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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.

Inputs (requirements)	Calculus	OR	Data Structure	Bus Stats	Simulation	Intro Comp Prog	Forecasting
OR	0	1	0	1	1	0	1
Math	1	1	1	1	0	0	1
Computer	0	0	1	0	1	1	0

Constraints: number of courses
Needs to be filled in	≥	Needs to be filled in
Needs to be filled in	≥	Needs to be filled in
Needs to be filled in	≥	Needs to be filled in

Decision Variables (binary)
Courses Taken	Needs to be filled in	Needs to be filled in	Needs to be filled in	Needs to be filled in	Needs to be filled in	Needs to be filled in

Objective = Minimize Output
# courses taken (Solution)	Needs to be filled in

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

Expert Solution

Step 1

Given requirement-

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