A business undergraduate student must register for the next semester on or before the drop date. The student meets instructors and assesses potential grades and study-hour requirements. There are eight courses offered in his major. The following table shows how many hours the student needs to study per week to get minimum marks in each course.

Of the courses offered, the student can take at most six and at least four courses to maintain his/ her full-time status. Since Operations Management and Supply Chain Management are assigned at the same time slot, the student cannot take both courses together. The student does not like to study more than 35 hours in a week.
a. Formulate an integer programming model for this problem that will help the student to maximize marks earned and solve it using computer.
b. Formulate an integer programming model for this problem that will help the student to minimize study hours and solve it using computer.
c. Compare the results of the two models.

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Course descriptions Management Science Supply Chain Management Human Resource Management Operations Management Entrepreneurship Leadership MIS Business Process Simulation Course number 1 2 3 4 5 6 7 8 Expected min. marks 90 70 80 85 75 80 80 90 Study hours 6 5 4 6 7 5 7 6