Given an annual usage value of 400 units, the procurement cost is ₹20 per order, cost per piece is ₹100 and cost of carrying inventory is 10%. Calculate the EOQ.

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RRB JE ME 22 Apr 2025 Shift 1 CBT 2 Official Paper
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  1. 60
  2. 40
  3. 30
  4. 50

Answer (Detailed Solution Below)

Option 2 : 40
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Detailed Solution

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Concept:

EOQ (Economic Order Quantity) is calculated using the formula:

\( EOQ = \sqrt{\frac{2AD}{H}} \)

Where:

  • A = Annual demand = 400 units
  • D = Ordering cost = ₹20
  • H = Holding cost per unit per year = 10% of ₹100 = ₹10

Calculation:

\( EOQ = \sqrt{\frac{2 \times 400 \times 20}{10}} = \sqrt{\frac{16000}{10}} = \sqrt{1600} = 40 \)

 

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