Food 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%. (Enter your response rounded to one decimal place.)an exampleGet more help.0Clear allCheck answer

Time required for cashier per customer = Tr = 6 minutes Time available for each cashier per hour =…

Answered: Food Goblin Supermarkets use both…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section: Chapter Questions

Problem 59P

See similar textbooks

Similar questions

1. A multiple channel queuing system with a Poisson arrival rate, and an exponential service time distribution has an average arrival rate of 2.5 customers per hour and an average service time of eighty minutes per customer. A queuing system is described as unstable or overloaded if its utilization rate is greater than, or equal to one. For the system just described, what is the minimum number of servers required to retain stability i.e., to avoid overloading? A. 2 B. 3 C. 1 D. 4
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 crew of mechanics at the Department of Transportation garage make minor repairs to snowplows during the winter. The snowplows break down at an average rate of 4 vehicles per day and breakdowns are distributed according to the Poisson distribution. The mechanic can service an average of 10 vehicles per day with a repair time distribution that approximates a negative exponential distribution. Assume an 8 hour day. What is the system utilization? Group of answer choices 0.60 0.17 0.40 0.67
A supermarket is trying to decide how many cashregisters to keep open. Suppose an average of 18 customersarrive each hour, and the average checkout time for acustomer is 4 minutes. Interarrival times and service timesare exponential, and the system may be modeled as anM/M/s/GD/∞/∞ queuing system. It costs $20 per hour tooperate a cash register, and a cost of 25¢ is assessed foreach minute the customer spends in the cash register area.How many registers should the store open?
as the staff director of a new hospital, you are planning to hire cardiologists rehabilitation and infectious diseased specialists. according to recent data, each cardiology case averages $ 12,000 in revenue, each physical rehabilitation case $19,000, and each infectious diseased case, $14,000. you judge that each specialist you employed will expand the hospital caseload by about 10 patients per week. You already have 3 cardiologists and rehabilitation specialists bring in one government researched per year, while each infectious diseased specialist brings in three. Your board of directors would like your weekly revenue to be as large as possible. How many of each kind of specialist should you hire? a. State the LP in standard form, defining all variables? b. Solve the LP with the online solver and attach it. In a complete sentence, state your solution to the problem, How many of each kind of specialist should you hire? c. let's say you completely misjudged the number of patients each…
create an exercise involving obtaining parts per hour of work. Example: (This is an example, do not answer) A factory that produces computer mice works in a quiet and regular manner since it does not sell its product to large companies, nor is its demand very variable.It produces 280 mice per month, of which 270 are conforming products. In October 2019, 23 days were worked. Its standard operating time is 7 hours a day, with a 30-minute lunch break. In addition, in the mornings the machines must be allowed to warm up for 20 minutes. The machines are operated in this manner from Monday to Friday. When they reach the production of 250 mice, they take a "break" to review the production so far. This waiting time (kanban) takes them 4 hours. Determine the total number of parts produced during the month of October 2019. Now, create another example of parts per hour of work:
A milling department has 10 machines. Each operates an average of eight hours before requiring adjustment, which takes an average of 3.43 hours. While running, each machine can produce 50 pieces an hour. Use Table 1, Table 2 and Table 3. a. With one adjuster, what is the net average hourly output per machine? (Round your answer to 1 decimal place.) Number of Pieces ?? per machine b. If machine downtime cost is $75 per hour and adjuster cost is $31 per hour, how many adjusters would be optimal? Multiple Choice 1 2 3 4 5
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?
Knott’s Industries manufactures standard and super premium backyard swing sets. Currently it has four identical swing-set-making machines, which are operated 250 days per year and 8 hours each day. A capacity cushion of 20 percent is desired. The following information is also known: Standard Model Super PremiumModel Annual Demand Standard Processing Time Average Lot Size Standard Setup Time per Lot 20,000 7 min 50 30 min 10,000 20 min 30 45 min a. Does Knott’s have sufficient capacity to meet annual demand?b. If Knott’s was able to reduce the setup time for the Super Premium Model from 45 minutes to 30 minutes, would there be enough current capacity to produce 20,000 units of each type of swing set?
Cakes baked by the Freshfood Bakery are transported fromthe ovens to be packaged by one of three wrappers. Eachwrapper can wrap an average of 120 cakes per hour (Poissondistributed). The cakes are brought to the wrappers at therate of 300 per hour (Poisson distributed). If a cake sitslonger than 5 minutes before being wrapped, it will not befresh enough to meet the bakery’s quality control standards.Does the bakery need to hire another wrapper?
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…
From 3:00 P.M. to 8:00 P.M. the local Big-W Supermarket hasa steady arrival of customers. Customers finish shopping andarrive at the checkout area at the rate of 80 per hour (Poissondistributed). It is assumed that when customers arrive at thecash registers they will divide themselves relatively evenly sothat all the checkout lines are even. The average checkouttime at a register is seven minutes (exponentially distributed).The store manager’s service goal is for customers to be out ofthe store within 12 minutes (on average) after they completetheir shopping and arrive at the cash register. How many cashregisters must the store have open in order to achieve themanager’s service goal?

SEE MORE QUESTIONS

Recommended textbooks for you

Practical Management Science

Operations Management

ISBN:

9781337406659

Author:

WINSTON, Wayne L.

Publisher:

Cengage,

Practical Management Science

Operations Management

ISBN:

9781337406659

Author:

WINSTON, Wayne L.

Publisher:

Cengage,

SEE MORE TEXTBOOKS