A company has tool cribs where workers draw parts. Two workers have applied for the position of distributing parts to the other workers. Adriana is fresh out of trade school and expects$5 per hour. Her average service time is four minutes. Braxton is a veteran who expects $11 per hour. His average service time is two minutes. A worker's time is figured at $11 perhour. Workers arrive to draw parts at an average rate of 13 per hour.(a) What is the average time a worker would spend in the system under each applicant? (Give your answers in minutes. Round your answers to three decimal places.)minutes on average in the system. Under Braxton, a worker would spendminutes on average in theUnder Adriana, a worker would spendsystem.(b) Which applicant should be hired? (Give your answers in dollars per hour. Round your answers to two decimal places.)The total cost under Adriana would be $per hour, and the total cost under Braxton would be $times into account, Braxtonshould be hired.====222252222200000005555per hour. Taking this and the average waiting

Average time in system refers to the average amount of time a worker spends in the system, which…

Answered: What is the average time a worker would…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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A server operates with 70% utilization. The coefficient of variation for the service process is 0.6 and the coefficient of variation of the arrival process is 1. The average processing time is 3 minutes. What is the average time a customer spends in the system according to the single-server queue model? A. 9 minutes B. 6 minutes C. 3 minutes D. 7.5 minutes Consider an Erlang loss system. The average processing time is 6 minutes. The average interarrival time is 3 minutes. The number of servers is 9. What is the capacity of the system? A. 0.8 customers per minute B. 1.5 customers per minute C. 1.1 customers per minute D. 2.4 customers per minute
Consider a bank branch that has three distinct customer arrival patterns throughout the day, as measured by average arrival rates (below). Morning (8:30 - 11:30): arrival 1 = 47 per hour. %3D Lunch (11:30 - 1:30): arrival 2 = 70 per hour. Afternoon (1:30 - 4:00): arrival 3 = 30 per hour. Regardless of the time of day, the average time it takes for a teller to serve customers is 3.17 minutes. Because of competition with other banks in the area, management has developed an internal goal to keep the average customer wait before service to be less than 4 minutes. With that in mind, answer the following: a. During the morning period, what is the minimum number of tellers that the bank needs to hire to achieve the 4-minute service goal mentioned above? [ Select] b. During lunch, what is the minimum number of tellers that the bank needs to hire to achieve the 4 minute service goal mentioned above? [ Select ] c. In the afternoon, what is the minimum number of tellers that the bank
A server operates with 90 % utilization. Coefficient of variation of service process is 0.6. Coefficient of variation of arrival process is 0.8. Average processing time is 4 minutes. What is the average time a customer spends in the system using the single server queuing model ? Show all formulas used, calculations and results.
Customers send emails to a help desk that has three employees who answer theemails (and this is their only responsibility). Customer requests arrive accordingto a Poisson process with a rate of 30 per hour. It takes on average 4 minutes towrite a response email; the standard deviation of this service times is 2 minutes.b. What is the average time an email spends waiting before an employee startsworking on it? What is the average time to complete the emails requests (fromthe time the email is sent to when it is answered)?
A call center receives 25 callers per minute on average. On average, a caller spends1 minute on hold and 3.5 minutes talking to a service representative. On average, howmany callers are “in” the call center (meaning that they are either on hold or talking to aservice representative)?
What is the average utilization of the servers in a system that has three servers? On average 15 customers arrive every 15 minutes. It takes a server exactly three minutes to wait on each customer.
Please do not give solution in image format thanku Dan himself came to your store and wanted to know how long customers were waiting in line (this is very important to Dan!). Report the time customers wait in your queue if you have 2 cashiers open, 55 customers come into the store per hour and your cashiers take 1.9 minutes per customer to ring them up.
In a waiting line situation, arrivals occur at a rate of 2 per minute, and the service times average 18 seconds. Assume the Poisson and exponential distributions. a. What is λ? b. What is μ? c. Find probability of no units in the system. d. Find average number of units in the system. e. Find average time in the waiting line. f. Find average time in the system. g. Find probability that there is one person waiting. h. Find probability an arrival will have to wait. Please show a corrct solution and answer. Thank you.
What is the theoretical distribution which describes the service time in queuing theory? A. Negative exponential B. Six sigma limits C. Bell curve D. Poisson
Firms that desire high service levels where customers have short wait times should target server utilization levels at no more than this percentage.
Passengers arrive at the immigration counter at a rate of one every 4 minutes, and processing their documents takes an average of 10 minutes each. There are 6 employees on duty. If a passenger isn't served immediately, how long on average would the passenger have to wait for service? a. 1.429 minutes b. 3.571 minutes c. 2.857 minutes d. 0.5 minutes
A car wash takes a constant time of 5.2 minutes in its automated car wash cycle. Autos arrive following a poisson distribution at the rate of 8 per hour. The owner wants to know: (a) the average waiting time in line. (b) the average length of the line. (c) the average utilization rate. (d) the average time in the system. (e) the average number of customers in the system.

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