800 units of certain item of stock are needed over each year period. If the unit cost is 400 and the cost of each order is 150, the carrying cost is 1.5%. Then the Economic Order Quantity (EOQ) is:

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OSSC JE Civil Mains (Re-Exam) Official Paper: (Held On: 3rd Sept 2023)
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  1. 120
  2. 160
  3. 200
  4. 240

Answer (Detailed Solution Below)

Option 3 : 200
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Detailed Solution

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Concept:

The Economic Order Quantity (EOQ) is a formula used to determine the optimal order quantity that minimizes the total cost of inventory, including ordering and holding costs.

Where:

  • DD = Annual demand (units/year)
  • SS = Ordering cost per order
  • HH = Holding or carrying cost per unit per year

Given Data:

  • Demand DD = 800 units/year
  • Ordering cost SS = 150
  • Carrying cost percentage = 1.5%
  • Unit cost = 400

Calculate Carrying Cost per Unit:

Substitute into the EOQ Formula:

The Economic Order Quantity (EOQ) is 200 units.

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