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Consider a manufacturing line of four workstations and four machines. The machine in

Workstation $2$ has an average process time of $4$ hours per job. The other machines are identical

with an average process time of $2$ hours. Answer the following questions with the assumption

that the process times are deterministic and there is no variation:

$($a$)$ What are the $r_b$ and $T_0$ for the described manufacturing line?

$r_b$:$,T_0$:

$($b$)$ Assume that we add an identical second machine to Workstation $2.$ What is the value of $r_b$

and $T_0?$

$r_b$:$,T_0$:

In maximum three sentences, explain the effect of adding that machine on the performance of

the line:

$($c$)$ Assume that the single machine in Workstation $2$ is speeded up$.$ The new process time is $2$

hours. What is the value of $r_b$ and $T_0?$

$r_b$:$,T_0$:

In maximum three sentences, explain the effect of that adjustment on the performance of the

line:

$($d$)$ What will be the value of $r_b$ and $T_0$ if we add an identical second machine to Workstation $1?$

In maximum sentences, explain the effect of adding that machine on the performance of the

line:

$($e$)$ How about speeding up the single machine in Workstation $1$ twice as fast?

$r_b$:$,T_o$:

maximum three sentences, explain the effect of that adjustment on the performance of the

line:

Baskin$-$Robbins $($BR$)$ has a line that produces half$-$gallon ice cream packs. All the stations in

this line are single$-$machine and the line is nearly balanced. Suppose that BR hired you as the

production manager to evaluate the performance of the line. You have estimated that the

bottleneck rate to be $2,337$ packs per $19-$hour day and the raw process time to be $0\mathrm{.}5$ hours.

The actual production rate of this line is $1,900$ packs per day with the average cycle time of $2\mathrm{.}9$

hours.

$($a$)$ Estimate the average WIP for this line:

WIP:

$($b$)$ Compare the performance of this line to the minimum expected performance: