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Questions · Q9

Q.Calculate the Economic Order Quantity (EOQ) from the following data, and verify your answer:
Annual usage: 2,400 units
Ordering cost per order: ₹100
Carrying cost per unit per annum: ₹3

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Formula: EOQ = √(2AO ÷ C), where A = Annual usage in units, O = Ordering cost per order, C = Carrying cost per unit per annum.

Substituting the given data (A = 2,400 units, O = ₹100, C = ₹3):

EOQ = √( (2 × 2,400 × 100) ÷ 3 )

= √( 480,000 ÷ 3 )

= √160,000

= 400 units

Verification (independent re-computation using the cost-equality property): At the EOQ, total ordering cost for the year should equal total carrying cost for the year.

  • Number of orders = Annual usage ÷ EOQ = 2,400 ÷ 400 = 6 orders. Ordering cost = 6 × ₹100 = ₹600.
  • Average stock = EOQ ÷ 2 = 400 ÷ 2 = 200 units. Carrying cost = 200 × ₹3 = ₹600. …

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