Sandy Dillon, an MBA student at the University of South Carolina. faces a di- lemma as she begins to plan her study schedule for a fall weekend. On Monday she must turn in a written paper in her Organizational Behavior class, as well as take exams in Financial Management and Quantitative Methods II (Management Sci- ence). She is approximately three-fourths finished with her paper and estimates that if she hands it in as is she will receive a grade of 70. With another 4 hours of work she feels that she would receive a grade of 85. and with 8 hours of work she feels she would get a grade of 100. Without studying at all for the Financial Management test she feels that she would score 60. With an additional 5 hours of study she feels she would score 80, and with an additional 10 hours of study she feels she would score 100. Quantitative Methods II is Sandy's hardest course. Without studying for the test she predicts she would score With an additional 10 hours of study she feels she would score 70, and with an additional 20 hours of study she feels she would score 100. The paper will be counted as 50 percent of the final grade in Organizational Behavior, the exam will be counted as 25 percent of the final grade in Financial Management, and the exam will be counted as 20 percent of the final grade in Quantitative Methods II. All three courses are 3-credit-hour courses. Sandy estimates that she has at most 20 hours of study time available on the weekend, since she also has a date for the South Carolina versus Clemson football game. Formulate Sandy's decision situation as a linear programming problem in which tin allocated maximize her overall grade point average, while still achieving at least a grade of 70 in each of the three assignments (i.e., paper and exams). Sandy Dillon, an MBA student at the University of South Carolina. faces a di- lemma as she begins to plan her study schedule for a fall weekend. On Monday she must turn in a written paper in her Organizational Behavior class, as well as take exams in Financial Management and Quantitative Methods II (Management Sci- ence). She is approximately three-fourths finished with her paper and estimates that if she hands it in as is she will receive a grade of 70. With another 4 hours of work she feels that she would receive a grade of 85. and with 8 hours of work she feels she would get a grade of 100. Without studying at all for the Financial Management test she feels that she would score 60. With an additional 5 hours of study she feels she would score 80, and with an additional 10 hours of study she feels she would score 100. Quantitative Methods II is Sandy's hardest course. Without studying for the test she predicts she would score With an additional 10 hours of study she feels she would score 70, and with an additional 20 hours of study she feels she would score 100. The paper will be counted as 50 percent of the final grade in Organizational Behavior, the exam will be counted as 25 percent of the final grade in Financial Management, and the exam will be counted as 20 percent of the final grade in Quantitative Methods II. All three courses are 3-credit-hour courses. Sandy estimates that she has at most 20 hours of study time available on the weekend, since she also has a date for the South Carolina versus Clemson football game. Formulate Sandy's decision situation as a linear programming problem in which tin allocated maximize her overall grade point average, while still achieving at least a grade of 70 in each of the three assignments (i.e., paper and exams)
