Question
Professor Wang teaches two sections of operations management, which combined will result in 130 final exams to be graded. Professor Wang has two graduate assistants
Professor Wang teaches two sections of operations management, which combined will result in 130 final exams to be graded. Professor Wang has two graduate assistants (GAs), James and Ann, who will grade the final exam. There is a 3-day period between the time the exam is administered and when final grades must be posted. During this period James has 14 hours available and Ann has 12 available hours to grade the exams. It takes James an average of 8.4 minutes to grade an exam, and it takes Sarah 15 minutes to grade an exam; however, Jamess exams will have errors that will require Professor Wang to ultimately re-grade 12% of his exams, while only 5% of Anns exams will require re-grading. Professor Wang wants to know how many exams to assign to each GA to grade in order to get all of them graded, but she also wants to minimize the number of exams that she will be required to re-grade. Formulate an LP Model for the problem, and determine the optimal number of exams that should be assigned to each GA to grade? Solve it using the Simplex Method. What is the minimum number of exams that the Professor is required to re-grade?
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