PA $5-5($Static$)$ Consider the following four$-$step assembly...

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Consider the following four$-$step assembly operation with quality problems. All resources are staffed by one employee.

The first resource has a processing time of $5$ minutes per unit.

The second resource has a processing time of $6$ minutes per unit.

The third resource has a processing time of $3$ minutes per unit. With a $30$ percent probability, the flow unit coming out of the third resource has to be reworked. In that case, the operations at the first, second, and third resources are repeated. You can assume that $($a$)$ rework always succeeds $($i$.$e$.,$ a unit going through the rework loop will always work after the third resource$)$ and $($b$)$ the processing times for units in rework are the same as for regular units.

The fourth resource has a processing time of $4$ minutes per unit.

a$.$ Where in the process is the bottleneck?

Step $1$

Step $2$

Step $3$

Step $4$

b$.$ What is the capacity of the process?

Note: Round your answers to $2$ decimal places.

Capacity

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