Kellam Images prints snack food bags on long rolls of plastic film. The plant operates $250$ days a year. The daily production rate is $6000$ bags, and the daily demand is $3500$ bags sold at $$2$ each. The cost to set up the design for printing is $$300.$ The holding cost is estimated at $1\%$ of the price of a bag per day. To get accurate final answers, do not round your intermediate results to less than $2$ decimal places. What is the optimal production order quantity? Round your final answer to the nearest integer.