Jane$$s Basic Boutique sells approximately a constant $820$ pairs of basic black flats every $3$ months. Jane$$s current policy is to order $200$ pairs each time she places an order. It cost Jane $$85$ to place the order and her annual holding cost rate is $35\%$ of the cost per pair. Answer the following questions if the cost per pair is $$56.$

What is the$$optimal order quantity for this Boutique?

Round up to the next whole value.