CWD Business systems maintains a successful Telecom sales department for Top up call credit in which a clerk takes orders by telephone. If the clerk is occupied on one line, incoming phone calls to the department are answered automatically by an answering machine and asked to wait. As soon as the clerk is free, the party that has waited the longest is transferred and answered first. Calls come in at a rate of about 15 per hour. The clerk is capable of taking an order in an average of 3 minutes. Calls tend to follow a Poisson distribution, and service times tend to be exponential. The clerk is paid $15 per hour, but because of lost goodwill and sales, CWD loses about $30 per hour of customer time spent waiting for the clerk to take an order.
CWD Business systems maintains a successful Telecom sales department for Top up call credit in which a clerk takes orders by telephone. If the clerk is occupied on one line, incoming phone calls to the department are answered automatically by an answering machine and asked to wait. As soon as the clerk is free, the party that has waited the longest is transferred and answered first. Calls come in at a rate of about 15 per hour. The clerk is capable of taking an order in an average of 3 minutes. Calls tend to follow a Poisson distribution, and service times tend to be exponential. The clerk is paid $15 per hour, but because of lost goodwill and sales, CWD loses about $30 per hour of customer time spent waiting for the clerk to take an order.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![4. CWD Business systems maintains a successful Telecom sales department for Top up call
credit in which a clerk takes orders by telephone. If the clerk is occupied on one line,
incoming phone calls to the department are answered automatically by an answering
machine and asked to wait. As soon as the clerk is free, the party that has waited the
longest is transferred and answered first. Calls come in at a rate of about 15 per hour. The
clerk is capable of taking an order in an average of 3 minutes. Calls tend to follow a
Poisson distribution, and service times tend to be exponential. The clerk is paid $15 per
hour, but because of lost goodwill and sales, CWD loses about $30 per hour of customer
time spent waiting for the clerk to take an order.
Part B
CWD is considering adding a second clerk to take calls. The store would pay that person the
same $15 per hour.
Using appropriate formula for the multiple channel model, answer the following questions:
wait for service (Pw)?
g. What is the probability that there is exactly 2 customers in the system
h. Should it hire another clerk? Explain by showing the cost savings -](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fad0ac84e-0550-43a0-af29-56c9639f04a2%2F686d7c82-ab65-4517-bbea-f05086fd322f%2Fwqqvim_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. CWD Business systems maintains a successful Telecom sales department for Top up call
credit in which a clerk takes orders by telephone. If the clerk is occupied on one line,
incoming phone calls to the department are answered automatically by an answering
machine and asked to wait. As soon as the clerk is free, the party that has waited the
longest is transferred and answered first. Calls come in at a rate of about 15 per hour. The
clerk is capable of taking an order in an average of 3 minutes. Calls tend to follow a
Poisson distribution, and service times tend to be exponential. The clerk is paid $15 per
hour, but because of lost goodwill and sales, CWD loses about $30 per hour of customer
time spent waiting for the clerk to take an order.
Part B
CWD is considering adding a second clerk to take calls. The store would pay that person the
same $15 per hour.
Using appropriate formula for the multiple channel model, answer the following questions:
wait for service (Pw)?
g. What is the probability that there is exactly 2 customers in the system
h. Should it hire another clerk? Explain by showing the cost savings -
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