The registration advisors at a small Midwestern university (SMU) help 4,200 students develop their class schedules and register for classes each semester. Each advisor works for 10 hours a day during the registration period. SMU currently has 10 advisors. While advising an individual student can take anywhere from 2 to 30 minutes, it takes an average of 12 minutes per student. During the registration period, the 10 advisors see an average of 300 students a day on a first-come, firstserved basis. The head of the registration advisors at SMU has decided that the advisors must finish their advising in 2 weeks (10 working days) and therefore must advise 420 students a day. However, the average waiting time given a 12-minute advising period will result in student complaints, as will reducing the average advising time to 10 minutes. SMU is considering two alternatives: a. Hire two more advisors for the 2-week (10-working day) advising period. This will increase the available number of advisors to 12 and therefore lower the average waiting time. b. Increase the number of days that the advisors will work during the 2-week registration period to 6 days a week. If SMU increases the number of days worked to 6 per week, then the 10 advisors need only see 350 students a day to advise all of the students in 2 weeks. Q.If advisors earn $100 per day, which alternative would be cheaper for SMU (assume that if advisors work 6 days in a given workweek, they will be paid time and a half for the sixth day)?
The registration advisors at a small Midwestern university (SMU) help 4,200 students develop their class schedules and register for classes each semester. Each advisor works for 10 hours a day during the registration period. SMU currently has 10 advisors. While advising an individual student can take anywhere from 2 to 30 minutes, it takes an average of 12 minutes per student. During the registration period, the 10 advisors see an average of 300 students a day on a first-come, firstserved basis.
The head of the registration advisors at SMU has decided that the advisors must finish their advising in 2 weeks (10 working days) and therefore must advise 420 students a day. However, the average waiting time given a 12-minute advising period will result in student complaints, as will reducing the average advising time to 10 minutes. SMU is considering two alternatives:
a. Hire two more advisors for the 2-week (10-working day) advising period. This will increase the available number of advisors to 12 and therefore lower the average waiting time.
b. Increase the number of days that the advisors will work during the 2-week registration period to 6 days a week. If SMU increases the number of days worked to 6 per week, then the 10 advisors need only see 350 students a day to advise all of the students in 2 weeks.
Q.If advisors earn $100 per day, which alternative would be cheaper for SMU (assume that if advisors work 6 days in a given workweek, they will be paid time and a half for the sixth day)?
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