Section $2$

Subway $($tocated near the McNcese campus$)$ is analyzing its simplified, two$-$step procesn for a glven time period. A customer artives and wraits in the saruwich quev: $($where a single server in an M$/$MA layout trakes the entire sandwhch$-$bread, meat, veggies, etc $),$ then proceeds to an M$/$Mrt pavmerit queue fwropping, packaging. and payment$)$ before exiting the system. The manager has provided us with an arrival rate of $x=0\mathrm{.}4$ customers per minute and then folowing metrics:

Subway queuing metrics

Sandwich queue Payment queue

Queue struciunt

one M$/$M$/$t queue

one M$/$M$/1$ queue

Arrivai rate

A per minute

$$ per minute

Service time

$E[T]=2$ minutes

E$[$T$]=1\mathrm{.}25$ minutes

What is the mean service rate fisandwich $($in customers per minute$)$ for the sandwich queue?

$$ a$.0\mathrm{.}3$ customers per minute

t$.0\mathrm{.}8$ customers per minute

c$.0\mathrm{.}5$ customers per minute

Clear my choice

What is the mean number of customers in line for the sandwich queue, E$[$Lq$,$ sandwich$]?$

a$.8\mathrm{.}1$ customers

b$.3\mathrm{.}2$ customers

c$.1\mathrm{.}5$ customers

Clear my choice

Determine the distribution of the variable $L_{\text{s}\text{a}\text{n}\text{d}\text{w}\text{i}\text{c}\text{h}}$ for the sandwich queue.