Jennifer owns Crunch Code, a company that provides quick programming solutions.

Question

Jennifer 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. Jennifer has 7 programmers who do all of the coding. On average, a project arrives once every 5.2 hours. Each project is assigned to one programmer and that programmer takes on average 18.2 hours to complete each project. Jennifer wants to know what fraction (as a percentage) of the time is each of her programmers busy coding? (Choose the answer closest to your calculations)

Explanation / Answer

Arrival rate (Lambda or A) = 5.2 hours or 1/5.2 per hour = 0.19 per hour

Service rate (Mu or S) = 18.2 hours or 1/18.2 per hour = 0.05 per hour

M = 7 (Servers)

Utilization % = A/(M*S)*100 = 0.19/(0.05*7)*100 = 54%

Ans: 50%

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