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18 August, 03:02

Camile owns Crunch Code, a company that provides quick programming solutions. Clients send Crunch projects via their web page and Crunch bangs out the needed code as quickly as possible. Camile has five programmers who do all of the coding. On average, a project arrives once every 4.8 hours, with a standard deviation of 6.00 hours. Each project is assigned to one programmer and that programmer takes on average 19.2 hours to complete each project with a standard deviation of 19.2 hours.

How many uncompleted projects does Crunch Code have in the system on average at any given time? (Include projects waiting for a programmer as well as those being programmed.)

A. 3.45 projects

B. 6.96 projects

C. 12.56 projects

D. 98.72 projects

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Answers (1)
  1. 18 August, 06:13
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    B. 6.96 projects

    Explanation:

    Base on the scenario been described in the question. We use the following method to get the answer

    We have number of Servers as: m = 5

    Inter-arrival time: a = 4.8 hrs

    Service Time: p = 19.2

    CVa = 1.25

    CVp = 1

    Utilization: u = 0.8

    Expected waiting time: = 14.1951 hrs

    Number of projects being programmed: 4

    Number of projects waiting to be programmed = 2.9573

    Now, total Number of uncompleted given projects at any given time = 6.9573
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