You work at Fineze, a retailer that sells wine of various quality and prices. Fineze orders two types of wine, Xylo and Yolo, from a France wine distributor. The cost of placing an order is $ 500 and the annual holding cost rate of Fineze is 14.0 %. The lead time is 2 weeks and Fineze only pays for the goods when the shipment arrives at their distribution center. Assume that there are 48 weeks in a year.
The annual demand for the less popular wine variety, Xylo, is very stable at 5665 bottles. The costs of Xylo is $ 30 per bottle.
What is the optimal order quantity of Xylo? Round it up to the closest integer.
How many weeks are there between each optimal order quantity of Xylo? Leave your answer with two decimal places.