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Suppose that documents are transmitted by a facsimile machine. Assume that the documents arrive at random, 75% of which is of the fixed form with constant transmission (service) time 40 seconds, whereas the rest are exponentially distributed with the mean 2 minutes. 1. How many documents per hour can be transmitted with mean waiting time no greater than 30 seconds? 2. If the number of documents per hour is the same as (1), and if all documents are of the fixed form, how much is the mean waiting time? Please answer both 1 and 2 with a complete step and formula used

Suppose that documents are transmitted by a facsimile machine. Assume that the documents arrive at random, 75% of which is of the fixed form with constant transmission (service) time 40 seconds, whereas the rest are exponentially distributed with the mean 2 minutes. 1. How many documents per hour can be transmitted with mean waiting time no greater than 30 seconds? 2. If the number of documents per hour is the same as (1), and if all documents are of the fixed form, how much is the mean waiting time? Please answer both 1 and 2 with a complete step and formula used

Practical Management Science
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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Suppose that documents are transmitted by a facsimile machine. Assume that the documents arrive at random, 75% of which is of the fixed form with constant transmission (service) time 40 seconds, whereas the rest are exponentially distributed with the mean 2 minutes.

1. How many documents per hour can be transmitted with mean waiting time no greater than 30 seconds?

2. If the number of documents per hour is the same as (1), and if all documents are of the fixed form, how much is the mean waiting time?

Please answer both 1 and 2 with a complete step and formula used. 

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