Q.2) Partially completed products arrive at a workstation in a manufacturing operation at a meanrate of 40 per hour (Poisson distributed). The processing time at the workstation averages 1.2minutes per unit (exponentially distributed). The manufacturing company estimates that eachunit of in process inventory at the workstation costs $31 per day (on the average). However, thecompany can add extra employees and reduce the processing time to 0.90 minute per unit at acost of $52 per day. Determine whether the company should continue the present operation oradd extra employees.

Average cost is the per unit cost of production which is calculated by dividing the total cost of…

Answered: Q.2) Partially completed products…

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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Customers arrive to a local bakery with an average time between arrivals of5 minutes. However, there is quite a lot of variability in the customers’ arrivals, asone would expect in an unscheduled system. The single bakery server requires anamount of time having the exponential distribution with mean 4.5 minutes to servecustomers (in the order in which they arrive). No customers leave without service.d. Calculate the probability a customer will spend more than an hour at the bakery(time in queue plus service time).
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A supermarket manager notices that there are 20 customers at the checkouts andalso knows that arrivals to the checkout at that time of day are at a rate of abouttwo per minute. About how long are customers spending in the checkout process(queueing and being served) on average?
[Queuing Theory - Operations Research] RBMC Industry manufactures a special printing according to customer specifications with respect to the number of sheets the machine can produce per hour. With this, there is a $50 increase in the production rate x. A shop owner is considering buying one of these machines. From his past experiences, the owner estimates that the arrival rate is three per hour and each order averages 500 sheets. Contracts signed by the owner, and the customer says that there will be a penalty of 10$ per late order per hour. It is assumed that the actual production time is exponential. (a) Formulate the cost model as a function of the production rate x. (b) Determine the optimal production rate the owner should specify in his purchase of the machine from RBMC. Hint: Get the derivative of the cost function.
Customers arrive to a local bakery with an average time between arrivals of5 minutes. However, there is quite a lot of variability in the customers’ arrivals, asone would expect in an unscheduled system. The single bakery server requires anamount of time having the exponential distribution with mean 4.5 minutes to servecustomers (in the order in which they arrive). No customers leave without service.c. How many customers are in the bakery on average?
Subject - account Please help me. Thankyou.
Please do not give solution in image formate thanku. A new shopping mall is considering setting up an information desk manned by one employee. Based upon information obtained from similar information desks, it is believed that people will arrive at the desk at a rate of 20 per hour. It takes an average of 2 minutes to answer a question. It is assumed that the arrivals follow a Poisson distribution and answer times are exponentially distributed. Required: (g) Assume that the information desk employee earns $10 per hour. The cost of waiting time, in terms of customer unhappiness with the mall, is $12 per hour of time spent waiting in line. Find the total expected costs over an 8-hour day.
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5. The DMV Licensing office has a single line for customers waiting for the next available clerk. There are two clerks who work at the same rate. On average customers arrive every 8 minutes and the average service rate is 5 per hour for each of the two clerks. The arrival rate of customers follows a Poisson distribution, while the service time follows an exponential distribution. d.) Because the state has received less than expected tax receipts, the DMV is thinking of cutting one position. Is this a good idea? Why?
Please do not give solution in image format thanku Customers checking out at Food Mart arrive in a single-line queue served by two cashiers at a rate ofeight per hour according to a Poisson distribution. Each cashier processes customers at a rate of eightper hour according to an exponential distribution.1. If, on average, customers spend 30 minutes shopping before getting in the checkout line, what isthe average time a customer spends in the store?2. What is the average number of customers waiting for service in the checkout line?3. What is the probability that a customer must wait?4. What assumption did you make to answer this question? I need this in Excel format please. Can you also include a small interpretation with the answers ?
True or False? In a waiting line system, the average system time Wₛ must be longer than the average waiting time Wq

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