Johnny Chew recently accepted an offer from SUSS Business School to major in Business Analytics. He is now planning his course schedule for the upcoming academic year. The academic year at SUSS is divided into two semesters, and Johnny has a wide range of courses to choose from. He has shortlisted twenty potential courses that align with his interests and are beneficial for future job skills. His interest in each course is rated on a scale of 3 to 5, while the relevance to job skills is rated between 1 and 10, as indicated in the fifth and sixth columns of Table 1.
Johnny is allowed to take at most five courses in each semester. In determining his course schedule, Johnny needs to consider the following:
• Johnny can only take a course if he has completed or is concurrently taking all courses that are prerequisites for the course. The prerequisites for all twenty courses are shown in the fourth column of Table 1.
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• In the upcoming Jan semester, Johnny must take at least three of the following five courses: Quantitative Methods (course 1), Business Application & Modeling (course 2), Economic Theory (course 3), Data Mining I (course 6), and Business Communications (course 20)
• If Johnny takes Text Mining (course 8), he will not be allowed to take Natural Language Processing (course 14), because these two courses cover fairly similar contents.
• Johnny would like to take at least one course in Digital Marketing (course 12 and/ or 13) and at least one course in Supply Chain Management (course 10 and/ or 11).
