All business students are required to take a capstone course, BUAD 455, the last semester of their senior year. This course consists primarily of a semester- long case project that pulls together all the business disciplines to test the students' knowledge in the major business areas of management, marketing, finance, accounting, quantitative methods, and operations. A difficult task for the course instructor is dividing the students in a class into equitable teams that will enhance the learning process and engender team-work. The project teams should be relatively equal in terms of student ability and performance. Further, the teams should reflect different functional skills; that is, the teams should include a mix of different majors. Also, the college would like the teams to be diverse in terms of gender and nationalities in order to prepare the students for working with diverse individuals when diverse individuals when they graduate and take a job. Consider one course section of BUAD 455 with 18 students. The instructor wants to divide the class into six project teams of three members each. The instructor's main objective for the teams is that they be relatively equal in terms of academic capability. Since the only means of assessing capability is a student's grade point average (GPA), the instructor has determined that one way to achieve this objective is for the teams to have a minimum average GPA of 2.80 while also striving to achieve the maximum overall average team GPA possible. It is also important that the teams have a mix of members with different majors to enhance the teams' functional capabilities, but the instructor does not want there to be more than two of the same major on any single team. In order to achieve some degree of diversity among team members the instructor wants there to be at least one female and one international student on each team, but not more than two females or two international students on a team. Following is a table that shows the break-down of GPAs, majors, gender, and internationality of each student in the class.

Some are both female and international, and that student 2 is a double major, You are to fill in yourself for Student 18, Please include your GPA, Gender, if you?re an international student, and major(s). Formulate and solve an integer linear programming model for this problem to determine project terms that will meet the instructor?s guidelines?

Student 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 GPA 3.04 2.35 2.26 2.15 3.23 3.95 2.87 2.65 3.12 3.08 3.35 2.78 2.56 2.91 3.40 3.12 2.75 Your GPA Gender M M M M FFMFMME EL M F F F M M Your Gender International ( yes or no) Yes No Yes Yes No No No No No Yes Yes No Yes No Yes Yes Yes Your Status Major MGT FIN/ ACCT MGT MKTG MGT FIN FIN FIN FIN MKTG MKTG ACCT MKTG ACCT MGT FIN ACCT Your Major