Inventory control calculation (EOQ context): given gross requirements = 2,000, on-hand inventory = 3,000, reorder point = 500, and EOQ = 1,300, what is the order quantity this period?

Difficulty: Medium

Correct Answer: zero

Explanation:


Introduction / Context:
In a continuous-review EOQ system, a new order of fixed size Q is placed when the inventory position falls to or below the reorder point (ROP). If the on-hand and on-order inventory comfortably exceed current needs and the ROP, no replenishment is triggered this period. Correctly applying these rules prevents overstocking and unnecessary holding costs.


Given Data / Assumptions:

  • Gross requirements this period = 2,000 units.
  • On-hand at start = 3,000 units; assume no outstanding backorders.
  • Reorder point = 500 units; EOQ = 1,300 units.
  • Standard EOQ/ROP policy with immediate recognition of demand.


Concept / Approach:
Under EOQ with ROP triggering, you only place an order when inventory position ≤ ROP. First, consume the gross requirement from on-hand. Then compare the resulting level to ROP. If still above ROP, do not place an order. Order quantity in such a case is zero, regardless of EOQ—EOQ is the lot size only when a reorder is actually triggered.


Step-by-Step Solution:

Compute projected on-hand after demand: 3,000 − 2,000 = 1,000. Compare to ROP: 1,000 > 500 → no reorder signal. Since no signal, do not issue the EOQ lot this period. Therefore, order quantity = 0.


Verification / Alternative check:
In continuous review, the order decision hinges on inventory position versus ROP, not on EOQ alone. Because projected on-hand remains above the threshold, the system defers ordering.


Why Other Options Are Wrong:

  • 3,000 or 2,000 or 7,000: none are policy-based outcomes; they ignore the ROP trigger logic.
  • None of the above: incorrect because zero is a valid policy output and is listed.


Common Pitfalls:
Blindly ordering EOQ each period; EOQ specifies lot size at reorder, not a standing order every cycle. Always check ROP first.


Final Answer:
zero

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