Granos, Inc. purchased new automated coffee vending machines, the Preso 2000. This Preso2000 requires a constant 45 seconds to produce a coffee. It has been estimated that customerswill arrive at the vending machine according to a Poisson distribution at an average of one every50 seconds. To help determine the amount of space needed for the line in front of the vendingmachine, Granos, Inc. would like to know the expected average time in the system, the averageline length (in costumers), and the average number of costumers in the system (both in line andat the vending machine).

Answered: Granos, Inc. purchased new automated…

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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given the following: A typical TSA agent at Piedmont Triad International Airport takes approximately 1.15 minutes to screeneach passenger that arrives at the security gate. During the day, a passenger arrives at the gate onaverage every 1.3 minutes. Both the service rate and arrival rate follow a Poisson distribution. Based onthis information and the assumption that only one screening line is open at the security gate, answer thefollowing questions with the given information: a) average number of passengers waiting in line to be screened is 7 b) average amount of time (in minutes) passengers spend waiting in line is .147 minutes c) average amount of time (in minutes) passengers spend in the screening system?.166 minutes 1. What is percent of the time does the typical TSA agent spend actively screening passengers? 2. Throughout the day, passenger arrival rates vary with the greatest number of passengers arriving about 45 minutes before a flight is expected to depart. If during this…
Please do not give solution in image formate thanku. The manager of the Safeway store (close to Santa Clara University) is considering improving the customer service level by reducing customers’ average waiting time for checkout. Based on the past year’s data, he knows that customers try to check out every 2 minutes, on average, and the standard deviation of the interarrival time is also 2 minutes. It takes on average 3 minutes to finish the checkout process. The standard deviation of the processing times is 3 minutes. The manager’s goal is to make sure the customers’ average waiting time is less than 0.5 minute. How many checkout cashiers should the manager use?
The owner of an automobile repair shop studied the waiting times for customers who arrive at the shop for an oil change. The following data with waiting times in minutes were collected over a one-month period. 2 5 22 6 5 0-4 5-9 10-14 (a) Develop a frequency distribution using classes of 0-4, 5-9, 10-14, 15-19, and 20-24. Class 15-19 20-24 Total 5 6 7 15 21 0-4 5-9 10-14 15-19 20-24 Class Total 0-4 5-9 10-14 Class 15-19 0-4 20-24 5-9 (b) Develop a relative frequency distribution using the classes in part (a). If required, round your answers to two decimal places. Relative Frequency 11 4 9 6 Class 16 10-14 15-19 12 21 8 20-24 9 10 Frequency 2 % 10 3 2 3 20 .1 .50 (c) Develop a cumulative frequency distribution using the classes in part (a) .15 .1 .15 1 M ✔ ✔ ✔ S (d) Develop a cumulative relative frequency distribution using the classes in part (a). If required, round your answers to two decimal places. 10 ✔ ✓ ✔ ✔ ✔ Cumulative Frequency Cumulative Relative Frequency X X (e) What…
Provide instead: 3 Positive and 3 negative outcomes for forecasting 3 Positive and 3 negative outcomes for queuing model
12 ed 1.00 An overhead crane of ABC Ltd. moves jobs from one machine to another and must be used every time a machine requires loading or unloading. The demand for service is random. Data taken by recording the elapsed time between service calls followed an exponential distribution having a mean of a call every 24 minutes. In a similar manner, the actual service time of loading or unloading took an average of 8 minutes. What is the average number of units in the system in the steady state? a) 0.6 Select one: O 1. c 02. a O 3. b O 4. d b) 0.9 c) 0.5 d) 0.7
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