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9.17 Inventory Model Mathematics Problem (146/92) -- Corporate Finance

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9.17 Inventory Model Mathematics Problem

9.17 Inventory Model Mathematics Problem This has been another optimization problem. We have derived the following formula in Chapter 9.16, “Economic Ordering Quantity (EOQ) Model Inventory Optimal Order Quantities Model” : Q* = [(2 F S) ÷ (C P)] 0.5 Example: (S) Projected annual unit sales = 10,000 (C) Total carrying cost per unit of inventory = 25% (P) Unit inventory purchase price = $5 (F) Fixed order costs = $500 Solution: | Q* | = [(2 × $500 × 10,000) ÷ (0.25 × $5)] 1/2 | | = [$10,000,000 ¸ $1.25] 1/2 | | | ≈ 2,828 units | Question: Every how many days will the firm have to re-order inventory? Answer: (10,000) ÷ (2,828) ~ 3.5 times a year – or about every 102 days
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