Bosch Auto Parts produces blue brake shoes for the automotive industry. the firm's annual demand is 10,000 blue brake shoes; the firm operates 250 days in a year. The firm produces blue brake shoes at the rate of 100 per day. The price of each blue brake shoe is $7; the firm incurs and additional holding cost of $0.50 per blue brake shoe per year; the firm incurs a production setup cost of $50. the firm does not maintain any safety stock of the blue brake shoes. The optimal production quantity for the blue brake shoes is ______ units (round to two decimals)