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12 February, 11:46

A stainless steel knife set is one item it stocks. Demand (2,400 sets per year) is relatively stable over the entire year. Whenever new stock is ordered, a buyer must ensure that numbers are correct for stock on-hand and then phone in a new order. The total cost involved to place an order is about $5. RW figures that holding inventory in stock and paying for interest on borrowed capital, insurance, and so on, add up to about $4 holding cost per unit per year. Analysis of the past data shows that the standard deviation of demand from retailers is about four units per day for a 365-day year. Lead time to get the order is seven days. What is the economic order quantity?

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  1. 12 February, 12:29
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    Annual demand (D) = 2,400 sets

    Holding cost (H) = $4

    Ordering cost (Co) = $5

    EOQ = √2 x 2,400 x $5

    $4

    EOQ = 77 units

    Explanation:

    Economic order quantity (EOQ) is the square root of 2 multiplied by annual demand and ordering cost per order divided by the holding cost per item per annum. EOQ is the quantity of stock that is bought each time a replenishment order is placed.
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