Question $15(1$ point$)$

A service process is described by the above flowchart. After going through

workstation A$,$ an order needs to be processed by one of the three lines, B$1-$C$1-$

D$1,$ B$2-$C$2-$D$2,$ or B$3-$C$3-$D$3($in other words, they are substitutable$).$ Finally, all

orders need to go through workstation $E.$

The capacities of the individual workstations are given as follows:

Workstation A has a capacity of $2$ orders$/$hour

Workstation B$1,$ B$2,$ and B$3$ have the same capacity of $2$ orders$/$hour

Workstation C$1,$ C$2,$ and C$3$ have the same capacity of $3$ orders$/$hour

Workstation D$1,$ D$2,$ and D$3$ have the same capacity of $2$ orders$/$hour

Workstation $E$ has a capacity of $6$ orders$/$hour

If the input rate to the service process is $1$ order$/$hour$,$ what is the utilization of

workstation C$2?$

Note:

Please do not include the $\%$ symbol in the answer box.

Round your answer to $2$ decimal places if it is not a whole number. For

example, if you calculated the utilization as $0\mathrm{.}56789=56\mathrm{.}789\%,$ round it to

$56\mathrm{.}79\%.$ Then, drop the $\%$ symbol, and enter $56\mathrm{.}79$ in the answer box.

Your Answer: