Consider the following batch$-$flow process consisting of three pro$-$cess steps performed by three machines:

Work is processed in batches at each step. Before a batch is processed at a step, the machine at that step must be set up$.($During a setup, the machine is unable to process any product.$)$ Assume that there is a dedicated setup operator for each machine $($i$.$e$.,$ there is always someone available to perform a setup at each machine.$)$

Answer the following questions:

Question $1(1$ point$)$

What is the capacity of step $1$ if the batch size is $35$ parts?

Question $1$ options:

$4$ units per minute

$0\mathrm{.}25$ units per minute

$0\mathrm{.}82$ units per minute

$0\mathrm{.}903$ units per minute

Question $2(1$ point$)$

What is the capacity of the whole process if batch size is $35?$

Question $2$ options:

$0\mathrm{.}903$ units$/$minute

$1\mathrm{.}296$ units$/$minute

$0\mathrm{.}696$ units$/$minute

$2\mathrm{.}896$ units$/$minute

Question $3(2$ points$)$

If the demand is $1$ unit$/$minute$,$ what should be the batch size to meet the demand?

Question $3$ options:

$40$

$25$

$52\mathrm{.}94$

$53$

Question $4(1$ point$)$

For what batch size is step $2$ the bottleneck?

Question $4$ options:

For any batch size smaller than $100$ step $2$ is the bottleneck, and for any batch size larger than that step $1$ is the bottleneck

For any batch size smaller than $150$ step $2$ is the bottleneck, and for any batch size larger than that step $1$ is the bottleneck

For any batch size smaller than $200$ step $2$ is the bottleneck, and for any batch size larger than that step $1$ is the bottleneck

Step $2$ is never the bottleneck

Question $5(1$ point$)$

For what batch size is step $3$ the bottleneck?

Question $5$ options:

For any batch size smaller than $100$ step $3$ is the bottleneck, and for any batch size larger than that step $1$ is the bottleneck

For any batch size smaller than $150$ step $3$ is the bottleneck, and for any batch size larger than that step $1$ is the bottleneck

For any batch size smaller than $200$ step $3$ is the bottleneck, and for any batch size larger than that step $1$ is the bottleneck

Step $3$ is never the bottleneck