The utilization of baggers isFood Goblin Supermarkets use both cashiers and baggers to serve customers at check out. During the first 7 hours of each workday (Monday-Friday), 6 cashiers and 2 baggers serve approximately25 customers per hour. A cashier and a bagger who require approximately 6 minutes at checkout and 4 minutes at bagging serve each customer.a. The utilization of cashiers is 41.7%. (Enter your response rounded to one decimal place.)%. (Enter your response rounded to one decimal place.)v an examplePart 2 of 3Get more help.O Points: 0 of 3Clear allCheck answerO

Time available per hour = 60 minutes Number of Baggers employed = 2 baggers Time required for…

Answered: Food Goblin Supermarkets use both…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section12.5: Analytic Steady-state Queueing Models

Problem 9P

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Please do not give solution in image formate thanku. Food Goblin Supermarkets use both cashiers and baggers to serve customers at check out. During the first 4 hours of each workday (Monday–Friday), 4 cashiers and 2 baggers serve approximately 25 customers per hour. A cashier and a bagger who require approximately 5 minutes at checkout and 3 minutes at bagging serve each customer. Calculate the utilization of cashiers and baggers
Ted Glickman, the administrator at D.C. General Hospital emergency room faces the problem of providing treatment for patients who arrive at different rates during the day. There are 4 doctors available to treat patients when needed. If not needed, they can be assigned other responsibilities (such as doing lab tests, reports, X-ray diagnoses) or else rescheduled to work at other hours. It is important to provide quick and responsive treatment, and Ted feels that, on the average, patients should not have to sit in the waiting area for more than 4 minutes before being seen by a doctor. Patients are treated on a first-come, first-served basis and see the first available doctor after waiting in the queue. The arrival pattern for a typical day is as follows: Time Arrival Rate 9 A.M.−3 P.M. 8 patients/hour 3 P.M.−8 P.M. 3 patients/hour 8 P.M.−midnight 13 patients/hour Arrivals follow a Poisson distribution, and treatment times, 12…
At the Smalltown post office, patrons wait in a singleline for the first open window. An average of 100 patronsper hour enter the post office, and each window can servean average of 45 patrons per hour. The post office estimatesa cost of 10¢ for each minute a patron waits in line andbelieves that it costs $20 per hour to keep a window open.Interarrival times and service times are exponential.a To minimize the total expected hourly cost, howmany windows should be open?b If the post office’s goal is to ensure that at most 5%of all patrons will spend more than 5 minutes in line,how many windows should be open?
Bectol, Inc. is building a dam. A total of 10 million cuft of dirt is needed to construct the dam. A bulldozer is usedto collect dirt for the dam. Then the dirt is moved via dumpersto the dam site. Only one bulldozer is available, and it rentsfor $100 per hour. Bectol can rent, at $40 per hour, as manydumpers as desired. Each dumper can hold 1,000 cu ft ofdirt. It takes an average of 12 minutes for the bulldozer toload a dumper with dirt, and each dumper an average of fiveminutes to deliver the dirt to the dam and return to the bulldozer. Making appropriate assumptions about exponen-tiality, determine how Bectol can minimize the total expected cost of moving the dirt needed to build the dam.
A small bank is trying to determine how many tellers toemploy. The total cost of employing a teller is $100 perday, and a teller can serve an average of 60 customersper day. On average, 50 customers arrive per day at thebank, and both service times and interarrival times areexponentially distributed. If the delay cost per customerday is $100, how many tellers should the bank hire?

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