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ACCA · Question 04 · Working Capital Management

Section A

AgriNutrient Co requires 50,000 tonnes of raw phosphate annually for its fertilizer production. The cost of placing a bulk order is $200 per order. The annual holding cost is $5 per tonne.

Using the Economic Order Quantity (EOQ) model, what is the optimal order size for raw phosphate?

Answer options:

A.

1,000 tonnes

B.

1,414 tonnes

C.

2,000 tonnes

D.

4,000 tonnes

How to approach this question

Apply the EOQ formula: Square root of [(2 * Co * D) / Ch], where Co is the cost per order, D is annual demand, and Ch is the annual holding cost per unit.

Full Answer

C.2,000 tonnes✓ Correct
The EOQ formula is √((2 × Co × D) / Ch). Co (Order cost) = $200 D (Annual demand) = 50,000 tonnes Ch (Holding cost) = $5 EOQ = √((2 × 200 × 50,000) / 5) = √(20,000,000 / 5) = √4,000,000 = 2,000 tonnes.

Common mistakes

Forgetting to take the square root at the end of the calculation.

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