a. Determine the optimal quantity of coal to receive in each order. (Ans: 1200 tons) b. Determine the total inventory-related costs associated with the optimal ordering policy (do not include the cost of the coal). (Ans: TC= $2880) c. 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? (Ans= R=300 tons)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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14. 12 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.
a. Determine the optimal quantity of coal to receive in each order. (Ans: 1200 tons)
b. Determine the total inventory-related costs associated with the optimal ordering policy
(do not include the cost of the coal). (Ans: TC= $2880)
c. 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? (Ans= R=300 tons)
Transcribed Image Text:14. 12 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. a. Determine the optimal quantity of coal to receive in each order. (Ans: 1200 tons) b. Determine the total inventory-related costs associated with the optimal ordering policy (do not include the cost of the coal). (Ans: TC= $2880) c. 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? (Ans= R=300 tons)
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