Question: 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 more popular wine variety, Yolo, is also very stable at 31764 bottles. The costs of Yolo is $ 93 per bottle. The cost of placing an order, the annual holding cost rate and the lead time are the same as Xylo, and, again, Fineze only pays for the goods when the shipment arrives at their distribution center.
What is the optimal order quantity of Yolo? Round it up to the closest integer.
How many weeks are there between each optimal order quantity of Yolo? Leave your answer with two decimal places.