a. The average time that catalog customers must wait before thier calls are transferred to the order clerk = _ mintues (round tour response to two decimal places)

b. the average number of callers waiting to place an order = _ (round tour response to two decimal places .)

c. the total present cost per hour = _ per hour

(round tour response to two decimal places. )

d. after adding the second clerk , the aberage time that catalog customers must wait before thier calls are transferred to the order clerk =_ (round tour response to two decimal places.)

average of 40 minutes. Calls tend to follow a Poston distribupen and service times tend to be negative exdonertial Janson's Department Store in Stark, Ohio, maintains a successful cotalog sales department in which a clerk takes orders by telephcne. If the clerk is occupled on one line, inco automatically by a recording machine and asked to wait. As soon as the clerk is free, the party who has waited the longest is tranciorred and serviced frint. Calls corne in at a fa average of 4.0 minutes, Calls tend to follow a Poisson distribution, and service times tend to be negative exponential. The cost of the clerk is $10 per hour, but because of lost goodwill and sales, Janson's loses about $27 por hour of customer time spent wailing for the clerk to take an order. a) The average time that catalog customers must wait before their calls are transferred to the order clerk = minutes (round your mesponse fo fivo dhcimar plicos) alog sales department in which a clerk takes orders by telephone. If the clerk is occupied on one line, incoming phone calls to the catalog department aro answored the clerk is free, the party who has waited the longest is transferred and serviced first. Calls come in at a rate of about 11 per hour. The clerk can take an order in an d service times tend to be negative exponential. 1 sales, Janson's loses about $27 per hour of customer time spent waiting for the clerk to take an order. Qils are transferred to the order clerk = (minutes (round your response fo two decimal places). Janson's Department Store in Stark, Ohio, maintains a successful catalog sales department in which a clork takes orders by talnghone. If the clork is occupied on one line, incoming plone automatically by a recording machine and asked to walt. As soon as the clerk is free, the party who has waited the longest is transiomed and serviced frat Calls come in at a rate of aticut 1 average of 4.0 minutes. Calls tend to follow a Polsson distribution, and service times tend to be negative exponential. The cost of the clork is $10 per hour, but because of lost goodwill and sales, Janson's loses about $27 per hour of customer tme spent wailing for the clerk to take an order. a) The average time that catalog customers must wait before their calls are tranderred to the order cherk = minudes (round your maponse to fivo decimar plicenal. arerage of 40 mindes. Cedis tend to foliow a Pelsson dirtribution, and service tines lesd is bo nogatire expenerted Wq=() Lq=()2 The average number of callers waiting to place an order = Janson's Department Siore in Stark, Ohio, maintains a successful catalog sales department in which a clerk takes orders by telephone. If the clerk is occupied on one line, incoming phone calls to the catalog department are answered automatically by a recording machine and asked to wait. As soon as the clerk is free, the party who has walted the longest is transferred and serviced first. Calls come in at a rate of about 18 per hour. The clerk can take an order in an average of 2.0 minutes. Calls tend to follow a Poisson distribution, and The cost of the clerk is $8 per hour, but because of lost goodwill and sales, Janson's loses about $30 per hour of customer time spent waiting for the clerk to take an crder. The queueing model to be used = The number of customers served per hour ()=30 per hour (Response should be rounded to nearest 2nd decimal place) For MN/1 queuing model, the relationship for finding the Average Time in the Queve is: Wq=() The average time that catalog customeris must wait before their cals are transferred to the order clerk =3.00 minutes (Response should be rounded to nearest and docimal place) For MM1 queuing model, the relationship for finding the Averago Nunber in the Quove is: sin=()2 The average number of calers wating to place an order =0.90 callers (Response should be rounded to nearest 2nd decima/ place) The per hour total cost = Service cost + Waising cost Where wating cost = A of artivals por hour x wasing cost per hour x average wat time per customer The total present cost per hour =$35.00 per hour (Response should be rounded to neareet 2nd decimal place) Janson's is considering adding a second clark to take calls. This would change the queung mode to Amer adding the second derk, the awerage time that catalog customers must wait befoee their cals are trantlorred lo the order clekk = 0.1900 " minutes (Response should bo rounded to nearest and decinal place) The queueing model to be used = The number of customers served per hour ()=30 per hour (Response should be rounded to nearest 2 nd decimal place) For M/M/1 queuing model, the relationship for finding the Average Time in the Queue is: Wq=() The average time that catalog customers must wait before their calls are transferred to the order clerk =3.00min (Response should be rounded to nearest 2nd decimal place) For M/M/1 queuing model, the relationship for finding the Average 'Number in the Queve is: Lq=()2 The average number of callers waiting to place an order =0.90 callers (Response should be rounded to nearest 2nd decimal place) The per hour total cost = Service cost + Waiting cost Where waiting cost = \# of arrivals per hour waiting cost per hour average wait time per customer The total present cost per hour =$35.00 per hour (Response should be rounded to nearest 2 nd decimal place) Janson's is considering adding a second clerk to take calls. This would change the queuing mode to After adding the second clerk, the average time that catalog customers must wait before their calls are transferred to t (Response should be rounded to nearest 2nd decimal place) ccessful catalog sales department in which a clerk takes orders by telephone. If the clerk is occupied on one line, incoming natically by a recording machine and asked to wait. As soon as the clerk is free, the party who has waited the longest is pout 18 per hour. The clerk can take an order in an average of 2.0 minutes. Calls tend to follow a Poisson distribution, and podwill and sales, Janson's loses about $30 per hour of customer time spent waiting for the clerk to take an order. hour ace) Average Time in the Queve is: ore their calls are transferred to the order clerk =3.00 minutes place) Average Number in the Queve is: Her =0.90 callers number of customers served per hour ()=30 per hour sponse should be rounded to nearest 2 nd decimal place) M/M/1 queuing model, the relationship for finding the Average Time in the Queve is: Wq=() average time that catalog customers must wait before their calls are transferred to the order clerk =3.00 minutes sponse should be rounded to nearest 2nd decimal place) r M/M/1 queuing model, the relationship for finding the Average Number in the Queue is: Lq=()2 The number of customers served per hour ()=30 per hour Response should be rounded to nearest 2nd decimal place) For M/M/1 queuing model, the relationship for finding the Average Time in the Queve is: WQ=() The average time that catalog customers must wait before their calls are transferred to the order clerk =3.00 minutes (Response should be roundod to nearest 2nd decimal place) For M/1 queuing model, the relationship for finding the Average Number in the Queve is: Lq=()2 The average number of callers waiting to place an order =0.90 callers (Response should be rounded to nearest 2nd decimal place) The per hour total cost = Service cost + Waiting cost Where waiting cost = \# of arrivals per hour waiting cost per hour average wait time per custamer The total present cost per hour =$35.00 per hour (Response should be rounded to nearest 2nd decimal place) Janson's is considering adding a second clerk to take calls. This would change the queuing mode to After adding the second clerk, the average time that catalog customers must wait before their calls are transferred to the order clerk= (Response should be rounded to nearest 2nd decimal place) After adding a second clerk to take calls and assuming that the store's cost would be the same $8 per hour. The total cost = $17.78 per hour (Response should be rounded to nearest 2nd decimal place) By hiring the second clerk, the total per hour cost change for Jansor's = $ per hour average of 40 minutes. Calls tend to follow a Poston distribupen and service times tend to be negative exdonertial Janson's Department Store in Stark, Ohio, maintains a successful cotalog sales department in which a clerk takes orders by telephcne. If the clerk is occupled on one line, inco automatically by a recording machine and asked to wait. As soon as the clerk is free, the party who has waited the longest is tranciorred and serviced frint. Calls corne in at a fa average of 4.0 minutes, Calls tend to follow a Poisson distribution, and service times tend to be negative exponential. The cost of the clerk is $10 per hour, but because of lost goodwill and sales, Janson's loses about $27 por hour of customer time spent wailing for the clerk to take an order. a) The average time that catalog customers must wait before their calls are transferred to the order clerk = minutes (round your mesponse fo fivo dhcimar plicos) alog sales department in which a clerk takes orders by telephone. If the clerk is occupied on one line, incoming phone calls to the catalog department aro answored the clerk is free, the party who has waited the longest is transferred and serviced first. Calls come in at a rate of about 11 per hour. The clerk can take an order in an d service times tend to be negative exponential. 1 sales, Janson's loses about $27 per hour of customer time spent waiting for the clerk to take an order. Qils are transferred to the order clerk = (minutes (round your response fo two decimal places). Janson's Department Store in Stark, Ohio, maintains a successful catalog sales department in which a clork takes orders by talnghone. If the clork is occupied on one line, incoming plone automatically by a recording machine and asked to walt. As soon as the clerk is free, the party who has waited the longest is transiomed and serviced frat Calls come in at a rate of aticut 1 average of 4.0 minutes. Calls tend to follow a Polsson distribution, and service times tend to be negative exponential. The cost of the clork is $10 per hour, but because of lost goodwill and sales, Janson's loses about $27 per hour of customer tme spent wailing for the clerk to take an order. a) The average time that catalog customers must wait before their calls are tranderred to the order cherk = minudes (round your maponse to fivo decimar plicenal. arerage of 40 mindes. Cedis tend to foliow a Pelsson dirtribution, and service tines lesd is bo nogatire expenerted Wq=() Lq=()2 The average number of callers waiting to place an order = Janson's Department Siore in Stark, Ohio, maintains a successful catalog sales department in which a clerk takes orders by telephone. If the clerk is occupied on one line, incoming phone calls to the catalog department are answered automatically by a recording machine and asked to wait. As soon as the clerk is free, the party who has walted the longest is transferred and serviced first. Calls come in at a rate of about 18 per hour. The clerk can take an order in an average of 2.0 minutes. Calls tend to follow a Poisson distribution, and The cost of the clerk is $8 per hour, but because of lost goodwill and sales, Janson's loses about $30 per hour of customer time spent waiting for the clerk to take an crder. The queueing model to be used = The number of customers served per hour ()=30 per hour (Response should be rounded to nearest 2nd decimal place) For MN/1 queuing model, the relationship for finding the Average Time in the Queve is: Wq=() The average time that catalog customeris must wait before their cals are transferred to the order clerk =3.00 minutes (Response should be rounded to nearest and docimal place) For MM1 queuing model, the relationship for finding the Averago Nunber in the Quove is: sin=()2 The average number of calers wating to place an order =0.90 callers (Response should be rounded to nearest 2nd decima/ place) The per hour total cost = Service cost + Waising cost Where wating cost = A of artivals por hour x wasing cost per hour x average wat time per customer The total present cost per hour =$35.00 per hour (Response should be rounded to neareet 2nd decimal place) Janson's is considering adding a second clark to take calls. This would change the queung mode to Amer adding the second derk, the awerage time that catalog customers must wait befoee their cals are trantlorred lo the order clekk = 0.1900 " minutes (Response should bo rounded to nearest and decinal place) The queueing model to be used = The number of customers served per hour ()=30 per hour (Response should be rounded to nearest 2 nd decimal place) For M/M/1 queuing model, the relationship for finding the Average Time in the Queue is: Wq=() The average time that catalog customers must wait before their calls are transferred to the order clerk =3.00min (Response should be rounded to nearest 2nd decimal place) For M/M/1 queuing model, the relationship for finding the Average 'Number in the Queve is: Lq=()2 The average number of callers waiting to place an order =0.90 callers (Response should be rounded to nearest 2nd decimal place) The per hour total cost = Service cost + Waiting cost Where waiting cost = \# of arrivals per hour waiting cost per hour average wait time per customer The total present cost per hour =$35.00 per hour (Response should be rounded to nearest 2 nd decimal place) Janson's is considering adding a second clerk to take calls. This would change the queuing mode to After adding the second clerk, the average time that catalog customers must wait before their calls are transferred to t (Response should be rounded to nearest 2nd decimal place) ccessful catalog sales department in which a clerk takes orders by telephone. If the clerk is occupied on one line, incoming natically by a recording machine and asked to wait. As soon as the clerk is free, the party who has waited the longest is pout 18 per hour. The clerk can take an order in an average of 2.0 minutes. Calls tend to follow a Poisson distribution, and podwill and sales, Janson's loses about $30 per hour of customer time spent waiting for the clerk to take an order. hour ace) Average Time in the Queve is: ore their calls are transferred to the order clerk =3.00 minutes place) Average Number in the Queve is: Her =0.90 callers number of customers served per hour ()=30 per hour sponse should be rounded to nearest 2 nd decimal place) M/M/1 queuing model, the relationship for finding the Average Time in the Queve is: Wq=() average time that catalog customers must wait before their calls are transferred to the order clerk =3.00 minutes sponse should be rounded to nearest 2nd decimal place) r M/M/1 queuing model, the relationship for finding the Average Number in the Queue is: Lq=()2 The number of customers served per hour ()=30 per hour Response should be rounded to nearest 2nd decimal place) For M/M/1 queuing model, the relationship for finding the Average Time in the Queve is: WQ=() The average time that catalog customers must wait before their calls are transferred to the order clerk =3.00 minutes (Response should be roundod to nearest 2nd decimal place) For M/1 queuing model, the relationship for finding the Average Number in the Queve is: Lq=()2 The average number of callers waiting to place an order =0.90 callers (Response should be rounded to nearest 2nd decimal place) The per hour total cost = Service cost + Waiting cost Where waiting cost = \# of arrivals per hour waiting cost per hour average wait time per custamer The total present cost per hour =$35.00 per hour (Response should be rounded to nearest 2nd decimal place) Janson's is considering adding a second clerk to take calls. This would change the queuing mode to After adding the second clerk, the average time that catalog customers must wait before their calls are transferred to the order clerk= (Response should be rounded to nearest 2nd decimal place) After adding a second clerk to take calls and assuming that the store's cost would be the same $8 per hour. The total cost = $17.78 per hour (Response should be rounded to nearest 2nd decimal place) By hiring the second clerk, the total per hour cost change for Jansor's = $ per hour