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The monthly usage for a component supplied to a medical equipment manufacturing plant is $4505$ parts. There are $24$ working days in the month, and the effective operating time of the plant is $330$ minutes per day. Currently, the defect rate for the component is $3\mathrm{.}7\%,$ and the equipment used to produce the part is down for repairs an average of $23$ minutes per day. What is the Takt time of this part? Write your answer to two decimal places.