PA 16-11 Camile owns Crunch Code, a company that.. Camile owns Crunch Code, a co

Question

PA 16-11 Camile owns Crunch Code, a company that.. Camile owns Crunch Code, a company that provides quick programming solutions. Clients send Crunch projects via their webpage and Crunch bangs out the needed code as quickly as possible. Camile has 4 programmers who do all of the coding. On average, a project arrives once every 5.1 hours. Each project is assigned to one programmer and that programmer takes on average 18 hours to complete each project Camile wants to know what fraction (as a percent) of the time is each of her programmers busy coding? Round to nearest integer

Explanation / Answer

To be calculated:

Fraction of time each of the programmers is busy coding i.e. Average Utilization

Given values:

Number of programmers, m = 4

Inter-arrival time, a = 5.1 hours

Processing time, p = 18 hours

Solution:

Average utilization of the programmers is calculated as;

Average utilization = p / (a x m)

Average utilization = 18 / (5.1 x 4)

Average utilization = 18 / 20.4

Average utilization = 0.88 or 88%

The fraction of the time is each of Camile programmer is busy coding is 88%

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