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If monthly demand is 1,000 units, the ordering cost is $20 per order, and the holding cost is $1.50 per unit per year, which of the following is the optimal order quantity using EOQ model?

Question

If monthly demand is 1,000 units, the ordering cost is 20perorder,andtheholdingcostis20 per order, and the holding cost is 1.50 per unit per year, which of the following is the optimal order quantity using EOQ model?

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Solution

The Economic Order Quantity (EOQ) model is used to determine the optimal order quantity that minimizes total inventory costs. The formula for EOQ is:

EOQ = √((2DS)/H)

where: D = Demand rate (1,000 units per month or 12,000 units per year) S = Ordering cost (20perorder)H=Holdingcost(20 per order) H = Holding cost (1.50 per unit per year)

Substituting the given values into the formula, we get:

EOQ = √((212,00020)/1.5) EOQ = √((480,000)/1.5) EOQ = √(320,000) EOQ = 566.94 units

Therefore, the optimal order quantity using the EOQ model is approximately 567 units.

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