PROBLEM 2 Professor Weejohs teaches two sections of business analytics, which combined will result in 120 final exams to be graded. Professor Weejohs has two assistants, AJ and Romel, who will grade the final exams. There is a 3-day period between the time the exam is administered and when final grades must be posted. During this period AJ has 12 hours available and Romel has 10 hours available to grade the exams. It takes AJ an average of 7.2 minutes to grade an exam, and it takes Romel 12 minutes to grade an exam; however, AJ’s exams will have errors that will require Professor Weejohs to ultimately regrade 10% of the exams, while only 6% of Romel’s exams will require regrading. Professor Weejohs wants to know how many exams to assign to each assistant to grade in order to minimize the number of exams to regrade. Required: a. Solve this model by using Solver in MS Excel. Generate the (1) answer and (2) sensitivity reports for this model. b. If Professor Weejohs could hire AJ or Romel to work 1 additional hour, which should he choose? What would be the effect of hiring the selected assistant for 1 additional hour?
PROBLEM 2 Professor Weejohs teaches two sections of business analytics, which combined will result in 120 final exams to be graded. Professor Weejohs has two assistants, AJ and Romel, who will grade the final exams. There is a 3-day period between the time the exam is administered and when final grades must be posted. During this period AJ has 12 hours available and Romel has 10 hours available to grade the exams. It takes AJ an average of 7.2 minutes to grade an exam, and it takes Romel 12 minutes to grade an exam; however, AJ’s exams will have errors that will require Professor Weejohs to ultimately regrade 10% of the exams, while only 6% of Romel’s exams will require regrading. Professor Weejohs wants to know how many exams to assign to each assistant to grade in order to minimize the number of exams to regrade. Required: a. Solve this model by using Solver in MS Excel. Generate the (1) answer and (2) sensitivity reports for this model. b. If Professor Weejohs could hire AJ or Romel to work 1 additional hour, which should he choose? What would be the effect of hiring the selected assistant for 1 additional hour?
Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter13: Decision Making Under Uncertainty
Section13.2: Utility Theory
Problem 15P
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PROBLEM 2
Professor Weejohs teaches two sections of business analytics, which combined will result in 120 final
exams to be graded. Professor Weejohs has two assistants, AJ and Romel, who will grade the final
exams. There is a 3-day period between the time the exam is administered and when final grades must
be posted. During this period AJ has 12 hours available and Romel has 10 hours available to grade the
exams. It takes AJ an average of 7.2 minutes to grade an exam, and it takes Romel 12 minutes to grade
an exam; however, AJ’s exams will have errors that will require Professor Weejohs to ultimately
regrade 10% of the exams, while only 6% of Romel’s exams will require regrading. Professor Weejohs
wants to know how many exams to assign to each assistant to grade in order to minimize the number
of exams to regrade.
Required:
a. Solve this model by using Solver in MS Excel. Generate the (1) answer and (2) sensitivity reports
for this model.
b. If Professor Weejohs could hire AJ or Romel to work 1 additional hour, which should he
choose? What would be the effect of hiring the selected assistant for 1 additional hour?
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