1. A manufacturer's average work-in-process inventory for a certain part is 1,000 units. The workstation produces this part at the rate of 200 units per day. What is the average time a unit spends at this workstation?
2. The Wilcox Student Health Center has just implemented a new computer system and service process to \improve e±ciency." As pharmacy manager, you are con- cerned about waiting time and its potential impact on college students who \get no respect." All prescriptions (Rxs) go through the following process:
Drop-o® ! Fill Rx ! Pick-up ! Cashier
Assume that students arrive to drop-o® Rxs at a steady rate of 2 Rxs per minute, with an average of one Rx per student. The average number of students in process
(those who
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All data conform to planners' expectations except for one set { the classi¯cations made by the nurse practitioner. Assume that the triage nurse has been sending 91% of all patients to the Simple Prescriptions area when in fact only 90% should have been so classi¯ed. The remaining 1% are discovered when transferred to the emergency area by a doctor. Assume all other information from Problem 6 is valid. On average, how long does a patient stay in the ER? On average, how long does a Potential Admit stay in the ER? On average, how many patients are in the ER?
Answer to Q1:
We know that throughput R=200 units/day, and inventory I=1,000 units.
Thus, flow time T=I/R=1000/200=5 days. So the average time a unit spends at this workstation is 5 days.
Answer to Q2:
a)
R=2/min
R
I
T
Drop off
2/min
5
2.5 min
Fill Rx
2/min
40
20 min
Pick up
2/min
3
1.5 min
Cashier
2/min
6
3 min
b) Based on the chart above, we could calculate:
T(stay to pick up)= 2.5+20+1.5+3=27 minutes
So the average time in the pharmacy for those students who stay to pick-up their Rxs is 27 minutes.
c) For the students back to pick up in 3 hours:
T (back in 3 hours)=2.5+1.5+3=7 minutes
So the average time in the pharmacy for those students who pick-up 3 hours later is 7 minutes.
d) Average T= 0.05*27+0.95*7=8 minutes
So the average time that a student spends in the pharmacy is 8 minutes.
Answer to Q3:
1. What recommendations would you make to John Wolf with respect to structuring the supplier relationship process for the Wolf Motors dealership network?
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