The purchasing manager for the Atlantic Steel Company must determine a policy for orderingcoal to operate 12 converters. Each converter requires exactly 5 tons of coal per day to operate,and the firm operates 360 days per year. The purchasing manager has determined that the orderingcost is $80 per order and the cost of holding coal is 20% of the average dollar value of inventoryheld. The purchasing manager has negotiated a contract to obtain the coal for $12 per ton forthe coming year. Determine the optimal quantity of coal to receive in each order.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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The purchasing manager for the Atlantic Steel Company must determine a policy for ordering
coal to operate 12 converters. Each converter requires exactly 5 tons of coal per day to operate,
and the firm operates 360 days per year. The purchasing manager has determined that the ordering
cost is $80 per order and the cost of holding coal is 20% of the average dollar value of inventory
held. The purchasing manager has negotiated a contract to obtain the coal for $12 per ton for
the coming year. Determine the optimal quantity of coal to receive in each order.

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Using the same information, how do I:

Determine the total inventory-related costs associated with the optimal ordering policy (do not include the cost of the coal).

and

 If 5 days of lead time are required to receive an order of coal, how much coal should be on hand when an order is placed? 

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