Item$3$

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Item$3$

Additional Algo $5-13$ Rework

A manufacturing process consists of three processes. Step $1$ requires $3$ minutes per unit, step $2$ requires $5$ minutes per unit, and step $3$ requires $6$ minutes per unit. $40\%$ of units that complete the third step require rework, which means those units must start the process over at step $2($processing times are the same for units being reworked$)$ and rework is always successful. Demand at the shop is $0\mathrm{.}4$ units per minute.

What is the capacity of the shop $($in units per minute$)?$

Note: Round your answer to $3$ decimal places.