Additional Algo $7-6$ Inventory in a Process with Setups

A milling machine is used to process an automobile part. The processing time per part is $4$ minutes. After producing $190$ units of the part, the milling machine requires a $34$ minute maintenance process. Demand for the part is $12$ units per hour.

What is the maximum inventory of a part $($in units$)?$

Note: Do not round your intermediate calculations. Round your answer to $2$ decimal places.

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