Question

Camille owns Crunch Code, a company that provides quick programming solutions. Clients send projects to Crunch via their web page and a programmer develops the needed code as quickly as possible. Camille 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

Answer 1

waiting time expected (1-U) 19 2)( 1 252 +12) ( 0 8Jd5+1)-1 = 14.2hr

# programmers ( n) 2 interarrival (t) 3 processing( p) 4 sigma (t) 5 sigma (p) 6 CVt 1 4.8 19.2 6 19.2 FB4/B2 B5/B3 B3/(B1 B2) 14.2 -B9/B2 B1*B8 SUM(B10:B11) 8 utilization (U) 9 expected waiting (W) 10 # program waiting 11 # program on work 12 Total

1 # programmers (n) 2 interarrival (t) 3 4.8 19.2 6 19.2 1.25 processing(p) 4 sigma (t) 5 sigma (p) 6 CVt 7 CVp 8 utilization (U) 9 expected waiting (W)14.2 10 # program waiting 2.95833 11 # program on work 12 Total 0.8 4 6.96