During the early morning hours, customers arrive at abranch post office at an average rate of 45 per hour(Poisson), while clerks can handle transactions in anaverage time (exponential) of 4 minutes each.If clerk cost is $30 per hour and customer waiting timerepresents a "cost" of $20 per hour, how many clerks canbe justified on a cost basis?Select one:O a. 3O b. 6O c. 4O d. 5

Find the Given details below: Given details: Arrival rate 45 customer/hour Service rate 4…

Answered: During the early morning hours,…

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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Give typed full explanation In an M/D/2 system, a. the service time is exponentially distributed, b. the service time is a constant, c. the interarrival time is exponentially distributed, d. the interarrival time is a constant
Amanda Fall is starting up a new house painting business, Fall Colors. She has been advertisingin the local newspaper for several months. Based on inquiries and informal surveys of the localhousing market, she anticipates that she will get painting jobs at the rate of four per week(Poisson distributed). Amanda has also determined that it will take a four-person team ofpainters an average of 0.7 week (exponentially distributed) for a typical painting job. Determine the number of teams of painters Amanda needs to hire so that customers will have to wait no longer than 2 weeks to get their houses painted.
Please do not give solution in image formate thanku During the early morning hours, customers arrive at a branch post office at an average rate of 57 per hour (Poisson), while clerks can provide services at a rate of 19 per hour. If clerk cost is $50.14 per hour and customer waiting time represents a cost of $46 per hour, how many clerks can be justified on a cost basis a. 8 b. 4 c. 7 d. 6 e. 5
During the early morning hours, customers arrive at a branch post office at an average rate of 45 per hour (Poisson), while clerks can handle transactions in an average time (exponential) of 4 minutes each. Find: (a) The average number of customers waiting for service if 5 clerks are used. (b) The minimum number of clerks needed to keep the average waiting time in the system to under 5 minutes. (c) If clerk cost is $40 per hour and customer waiting time represents a “cost” of $30 per hour, how many clerks can be justified on a cost basis? Please show work.
11. Leo manages a receiving station for rice. Farmers deliver their loads of rice from 7 am to 7 pm. Leo can process them at a rate of 4.5 tons an hour, and on a heavy day, a total of 96 tons can be expected. The station has room to hold only 15 tons of rice in inventory prior to processing. Once this space is filled, the farmers’ trucks must wait to dump their contents. What is the throughput (flow) rate after 7 pm (in tons/hr)?
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?
The Waterfall Buffet in the lower level of the National ArtGallery serves food cafeteria-style daily to visitors andemployees. The buffet is self-service. From 7:00 A.M. to9:00 A.M. customers arrive at the buffet at a rate of eight perminute; from 9:00 A.M. to noon, at four per minute; fromnoon to 2:00, at 14 per minute; and from 2:00 P.M. to closing at 5:00 P.M., at eight per minute (Poisson distributed).All the customers take about the same amount of time toserve themselves and proceed to the buffet. Once a customer goes through the buffet, it takes an average of0.4 minute (exponentially distributed) to pay the cashier.The gallery does not want a customer to have to wait longerthan four minutes to pay. How many cashiers should beworking at each of the four times during the day?
1. Calculate the average customer arrival rate and service rate per hour. 2. Calculate the probability of zero patients in the system (P0), probability of one patient (P1), and probability of two or more patients simultaneously arriving during the night shift. 3. Using a criterion that if the probability is greater than 1 percent, a backup OR team should be employed, make a recommendation to hospital administration. I'm not sure how to find the answers to the empty boxes.
RideShare offers short-term rentals of vehicles that are kept in small lots in urbanneighborhoods with plenty of potential customers. With one lot, it has eight cars. Theinterarrival time of potential demand for this lot from its base of customers is 40 minutes.The average rental period is five hours. If a customer checks availability of vehicles in thislot online and finds that they are all rented for the desired time, the customer skips rentingand finds alternative arrangements. However, because customers pay a monthly fee tosubscribe to this service, RideShare does not want customers to be disappointed too often.a. What is the offered load?b. What is the implied utilization?c. What is the capacity of the process (rentals per hour)?d. What is the probability that all eight cars are rented at the same time?e. How many customers are served every hour?f. What is the utilization of the cars?g. How many cars should it have in this lot to ensure that it serves at least 90 percent ofdemand?
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Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.6 customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. The consultant averages 10 minutes with each customer. (a) Compute the operating characteristics of the customer waiting line, assuming Poisson arrivals and exponential service times. (Round your answers to four decimal places. Report time in hours.) ?=?=Lq=L=Wq= hW= hPw= (b) Service goals dictate that an arriving customer should not wait for service more than an average of 5 minutes. Is this goal being met? (Round your answer to one decimal place.) Wq (in minutes) = min, which is than the desired wait time, so the goal met. What action do you recommend? (Select all that apply.) Increase the mean service rate.Decrease the mean service rate.There is no need to change the current operating parameters.Hire another…
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