Problem $3.$ Tesla operates a manufacturing facility. The process produces $1,600$ vehicles each week. It takes a car about $5$ days to move from the beginning of the process to the end. The plant operates for $16$ hours per day, $5$ days a week. On average, how many vehicles are being produced in this facility $($simultaneously in the process$)?($please keep $4$ decimal places if it is not integer number$)$