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Brenda Opens a Pool and Spa Store in a Lively

question 86

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Brenda opens a pool and spa store in a lively shopping mall and finds business to be booming, but she often stocks out of key items customers want. She decides to experiment with inventory control methods such as using a fixed order quantity (FQS) and/or fixed order period (FPS) systems. The 28-ounce bottle of Super Algaecide (SA) is a high margin stock keeping unit (SKU) , but it stocks out frequently. Ten SA bottles come in each box, and she orders boxes from a vendor 160 miles away. Brenda is busy running the store and seldom has time to review store inventory status and order the right quantity at the right time. She collects the following data with respect to these SA sales.
 Demand =10 boxes per week  Store operates 50 weeks / year  Order cost =$40/ order  Lead time =3 weeks  Item cost =$80/ box  Std. deviation in weekly demand =6 Inventory-holding cost =15% per year  Service level =96%\begin{array} { l l } \text { Demand } = 10 \text { boxes per week } & \text { Store operates } 50 \text { weeks } / \text { year } \\\text { Order cost } = \$ 40 / \text { order } & \text { Lead time } = 3 \text { weeks } \\\text { Item cost } = \$ 80 / \text { box } & \text { Std. deviation in weekly demand } = 6 \\\text { Inventory-holding cost } = 15 \% \text { per year } & \text { Service level } = 96 \%\end{array}
-The average number of orders per year using the economic order quantity (EOQ) is:


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