Use this information to answer the following questions.
$\begin{array}{l|c}
\text { Number of Servers } & 1.0 \
\text { Arrival Rate } & 7.00 \
\text { Service Rate } & 10.00 \
\mathrm{P}(0) \text {, probability that there are no customers in the system } & 30 \% \
\mathrm{Lq} \text {, average length of the queue } & 1.63 \
\mathrm{~W} \text {, average time in the system } & 0.33 \
\mathrm{~L} \text {, average number of customers in the system } & 2.33 \
\mathrm{Wq}, \text { average time in the queue } & 0.23 \
\text { Utilization factor of the system } & 70 \% \
\hline
\end{array}$

-Refer to the table.If a second server was added with the same service rate,what would be the revised utilization factor of the system?
A)70%
B)50%
C)49%
D)35%
E)25%

Question

Use this information to answer the following questions.
 $\begin{array}{l|c}
\text { Number of Servers } & 1.0 \
\text { Arrival Rate } & 7.00 \
\text { Service Rate } & 10.00 \
\mathrm{P}(0) \text {, probability that there are no customers in the system } & 30 \% \
\mathrm{Lq} \text {, average length of the queue } & 1.63 \
\mathrm{~W} \text {, average time in the system } & 0.33 \
\mathrm{~L} \text {, average number of customers in the system } & 2.33 \
\mathrm{Wq}, \text { average time in the queue } & 0.23 \
\text { Utilization factor of the system } & 70 \% \
\hline
\end{array}$

-Refer to the table.If a second server was added with the same service rate,what would be the revised utilization factor of the system?
A)70%
B)50%
C)49%
D)35%
E)25%

Quizplus · Accepted Answer

The current utilization factor of the system is 70%. 
If a second server is added, the service rate doubles to 20.00 while the arrival rate remains the same at 7.00. 
The new utilization factor can be calculated as: 
Utilization factor = Arrival rate/ (number of servers * service rate) 
Utilization factor = 7.00 / (2 * 20.00) 
Utilization factor = 0.175 or 17.5% 
Therefore, the revised utilization factor after adding a second server is 35%, which is option D.

Use This Information to Answer the Following Questions -Refer to the Table