A company is planning to purchase 10,000 units of a particular item in the year ahead. The item is purchased in boxes each containing 10 units of the item, at a price of €400 per box. The cost of holding an item in inventory for a year (including insurance, interest and space costs) is 10% of the purchase price. The cost of placing and receiving orders is to be estimated from cost data collected relating to similar orders, where costs of €7,000 were incurred on 25 orders. It should be assumed that ordering costs change in proportion to the number of orders placed. 5% should be added to the above ordering costs to allow for inflation. Assume that usage of the item will be even over the year. Required: (a) Calculate the economic order quantity (EOQ) in boxes which minimises total costs (b) Outline when and why it is appropriate to use economic batch quantity (EBQ)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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A company is planning to purchase 10,000 units of a particular item in the year ahead. The item is purchased in boxes each containing 10 units of the item, at a price of €400 per box. The cost of holding an item in inventory for a year (including insurance, interest and space costs) is 10% of the purchase price. The cost of placing and receiving orders is to be estimated from cost data collected relating to similar orders, where costs of €7,000 were incurred on 25 orders. It should be assumed that ordering costs change in proportion to the number of orders placed. 5% should be added to the above ordering costs to allow for inflation. Assume that usage of the item will be even over the year. Required:

(a) Calculate the economic order quantity (EOQ) in boxes which minimises total costs

(b) Outline when and why it is appropriate to use economic batch quantity (EBQ)

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