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Mekkora az optimális rendelési mennyiség (db)?

To calculate the optimal order quantity (EOQ), we can use the Economic Order Quantity (EOQ) formula given in the image:

\[
q_{\text{opt}} = \sqrt{\frac{2 \cdot C_r \cdot Q}{C_k}}
\]

Where:
- \( C_r \) = 1200 Ft (ordering cost per order),
- \( Q \) = 21000 units per year (annual demand),
- \( C_k = c_b \times r \), where \( c_b = 200 \, \text{Ft/unit} \) and \( r = 1 \, \text{Ft/unit/year} \) (carrying cost per unit per year).

Now, let's calculate \( C_k \):
\[
C_k = 200 \times 1 = 200 \, \text{Ft/unit/year}.
\]

Substitute the values into the EOQ formula:
\[
q_{\text{opt}} = \sqrt{\frac{2 \cdot 1200 \cdot 21000}{200}} = \sqrt{\frac{50400000}{200}} = \sqrt{252000} \approx 502 \, \text{units}.
\]

So, the optimal order quantity is approximately **502 units**.

Would you like further details or have any questions? Here are 5 related questions for further exploration:

1. How does the EOQ model help reduce overall costs in inventory management?
2. What happens if the ordering cost increases—how will it affect the EOQ?
3. How does the holding cost per unit affect the frequency of ordering?
4. Could the EOQ formula be adjusted for quantity discounts?
5. How would an increase in demand impact the EOQ calculation?

**Tip:** The EOQ formula assumes constant demand and ordering costs, so it's important to adjust the model when these factors change.

Learn how to calculate the optimal order quantity (EOQ) for inventory management using the EOQ formula. This problem includes determining the EOQ for a company ordering packaging materials, with details on the ordering and carrying costs. Ideal for college-level students studying supply chain management or business.

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