Professor Cook teaches Operations Management at an Ontario University. She is sc
ID: 415895 • Letter: P
Question
Professor Cook teaches Operations Management at an Ontario University. She is scheduled to give her class of 55 students a final exam on the last day of the exam week, and she is leaving town the same day. She is concerned about her ability to finish grading her exams. She estimates that with everything else she has to do she has only six hours to grade the exams. From past experience, she knows that the first exam will take her about 10 minutes to grade. She estimate that her learning curve to be 85%, and it will be fully realized after 10 exams (i.e., improvement will not be possible any more). Will she be able to get the exams graded before her departure? Please show your work to support your conclusion.
Explanation / Answer
Number of exams Professor Cook needs to grade = 55 ( for 55 students )
Time required to grade first exam ( given ) = 10 minutes
Learning rate ( given ) = 85%
Using data from learning curve table,
Time required to grade 10th exam = 5.83 minutes
Cumulative time required to grade 10 exams = 71.16 minutes
Since learning curve is fully realized after grading 10th exam, time required for each of exams from 11th till 55 will be 5.83 minutes
Thus, total time required to grade 11th till 55th exams = 5.83 x 45 = 262.35 minutes
Thus, total time required to grade all 55 exams
= Time required to grade first 10 exams + Time required to grade balance 45 exams
= 71.16 + 262.35
= 333.51 minutes
Maximum time available with Professor Cook to grade the exams = 6 hours = 480 minutes
Since,
Total time required to grade all 55 exams ( 333.51 minutes ) < Maximum time available with Professor Cook ( 480 minutes ), she will be able to grade the exams before her departure
PROFESSOR COOK WILL BE ABLE TO GRADE THE EXAMS BEFORE HER DEPARTURE
PROFESSOR COOK WILL BE ABLE TO GRADE THE EXAMS BEFORE HER DEPARTURE
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.