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 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 Choosing college courses 2 3 4 5 OR 6 Math 7 Computer 8 9 10 Course taken 22222222 11 12 Prerequisite constraints 13 14 15 16 17 A 19 20 OR 21 Math 22 Computer 23 26 18 Major requirement constraints Courses taken 24 Total courses 25 27 29 B 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 fx P6-40 Calculus PG-44 C + D OR Data Structures Required Geography Bus Stats Simulation G Sort Filter 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 Forecasting Forecasting Clear Reapply Advanced Text to Columns 48. What Analys 1 Choosing college courses 2 3 4 5 OR 6 Math 7 Computer 8 9 10 Course taken 22222222 11 12 Prerequisite constraints 13 14 15 16 17 A 19 20 OR 21 Math 22 Computer 23 26 18 Major requirement constraints Courses taken 24 Total courses 25 27 29 B 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 fx P6-40 Calculus PG-44 C + D OR Data Structures Required Geography Bus Stats Simulation G Sort Filter 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 Forecasting Forecasting Clear Reapply Advanced Text to Columns 48. What Analys