Please show work: The pharmacist at Arnold Palmer Hospital, Wende Huehn-Brown, r
ID: 365227 • Letter: P
Question
Please show work:
The pharmacist at Arnold Palmer Hospital, Wende Huehn-Brown, receives 6 requests for prescriptions each hour, Poisson distributed. It takes her a mean time of 5 minutes to fill each, following a negative exponential distribution. The waiting line table is provided below and also we know that so we know that Wq = Lq / .
Using the table, the average number of prescriptions in the queue = prescriptions (round your response to two decimal places).
b) Using the given relationship, the average time a prescription spends in the queue = minutes (round your response to two decimal places).
c) Wende decides to hire a second pharmacist, Ajay Aggerwal, whom she went to school with and who operates at the same speed in filling prescriptions. Using thetable, the average number of prescriptions in the queue =prescriptions (round your response to two decimal places).
Using the given relationship, the average time a prescription spends in the queue after Wende has hired Ajay Agarwal = minutes (round your response to two decimal places.
This Question: 1 pt 9 of 10 (7 complete) This Quiz: 10 pts possible Question Help * The pharmacist at Amold Palmer Hospital, Wende Huehn-Brown, receives 6 requests for prescriptions each hour, Poisson distributed. It takes her a mean time of 5 minutes to fill each, following a negative exponential distribution. The waiting line table is provided below and also we know that W Click the icon to view the waiting line table. a) Using the table, the average number of prescriptions in the queue prescriptions (round your response to two decimal places) b) Using the given relationship, the average time a prescription spends in the queue-minutes (round your response to two decimal places) c) Wende decides to hire a second pharmacist, Ajay Aggerwal, whom she went to school with and who operates at the same speed in filling prescriptions. Using the able, the average number of prescriptions in the queue- prescriptions round your response to t o decimal places) Using the given relationship, the average tine a prescription spends in the queue after Wende has hired A ay Agarwal· minutes round your response to two decimal places). Enter your answer in each of the answer boxes.Explanation / Answer
L.L. Bean faced severe problems. It was the peak selling season, and the service level to incoming calls was simply unacceptable. Widely known as a high-quality outdoor goods retailer, about 65% of L.L. Bean’s sales volume is generated through telephone orders via its toll-free service centers located in Maine. Here is how bad the situation was: During certain periods, 80% of the calls received a busy signal, and those who did not often had to wait up to 10 minutes before speaking with a sales agent. L.L. Bean estimated it lost $10 million in profit because of the way it allocated telemarketing resources. Keeping customers waiting “in line” (on the phone) was costing $25,000 per day. On exceptionally busy days, the total orders lost because of queuing problems approached $500,000 in gross revenues. Developing queuing models similar to those presented here, L.L. Bean was able to set the number of phone lines and the number of agents to have on duty for each half hour of every day of the season. Within a year, use of the model resulted in 24% more calls answered, 17% more orders taken, and 16% more revenues. The new system also meant 81% fewer abandoned callers and an 84% faster answering time. The percent of callers spending less than 20 seconds in the queue increased from 25% to 77%. Needless to say, queuing theory changed the way L.L. Bean thought about telecommunications.