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    Economic Order Quantity (EOQ) Calculator

    Find the order size that minimizes total inventory cost (ordering + holding)

    Economic order quantity

    200units

    Orders per year

    6

    Days between orders

    60.83

    Total ordering cost

    60SAR

    Total holding cost

    60SAR

    Total annual cost

    120SAR

    Cost vs. order quantity

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    How does it work?

    EOQ (Economic Order Quantity) answers 'how much should I order each time?' Order too little and you pay too many ordering / shipping fees; order too much and you tie up cash in holding cost. The Wilson formula finds the order size where these two costs cross — the lowest total annual inventory cost.

    The Wilson formula

    Three inputs, one square root, one optimum order size:

    EOQ = √( (2 × D × S) ÷ H ) where D = annual demand, S = cost per order, H = holding cost per unit per year

    Worked example

    Annual demand 1,200 units, ordering cost 10 SAR per order, holding cost 0.60 SAR per unit per year:

    1. EOQ = √((2 × 1,200 × 10) ÷ 0.60) = √40,000 = 200 units
    2. Orders per year = 1,200 ÷ 200 = 6 orders
    3. Total ordering cost = 6 × 10 = 60 SAR
    4. Total holding cost = (200 ÷ 2) × 0.60 = 60 SAR
    5. Total annual inventory cost = 120 SAR — the minimum

    Practical tips

    • Ordering cost is your fixed cost per PO — staff time, freight, customs paperwork. Don't include the goods themselves.
    • Holding cost ≈ 20–30% of unit cost per year (storage + insurance + obsolescence). Don't underestimate.
    • EOQ assumes constant demand and instant replenishment — it's a starting point; adjust for seasonality manually.
    • If the EOQ doesn't fit your supplier's minimum order quantity, round up — the cost curve is gentle near the optimum.
    • Recompute EOQ each year as demand, ordering, and holding costs change.

    Frequently Asked Questions

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