The GIIC -Company must determine a policy for ordering coal to operate 15 smelters. Each smelter requires exactly 5 tons of coal per day to operate, and the firm operates 360 days per year. The purchasing manager has negotiated a contract to obtain the coal for 5 BD per ton for the coming year. The purchasing manager has determined that the ordering cost is 40 BD per order, and the cost of holding coal is 20% per ton of its value. i. Determine the optimal quantity of coal to receive in each order. ii. Determine the total inventory-related costs associated with the optimal ordering policy (do not include the cost iii. If five days' lead time is required to receive an order of coal, how much coal should be on hand when an of the coal). order is placed? iv. Optimal quantity 1837.11 Tons, Total cost 1837.11 BD, Inventory during LT 275 Tons i. Optimal quantity 1469.694 Tons, Total cost 1469.694 BD, Inventory during LT 375 Tons i. Optimal quantity 734.85 Tons, Total cost 1649.694 BD, Inventory during LT 150 Tons v. Optimal quantity 1649.694 Tons, Total cost 1837.11 BD, Inventory during LT 150 Tons ii. Optimal quantity 1649.694 Tons, Total cost 27000 BD, Inventory during LT 275 Tons

Practical Management Science
6th Edition
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The GIIC -Company must determine a policy for ordering coal to operate 15 smelters. Each smelter requires exactly 5 tons of coal per day to operate, and the firm operates 360
days per year. The purchasing manager has negotiated a contract to obtain the coal for 5 BD per ton for the coming year. The purchasing manager has determined that the
ordering cost is 40 BD per order, and the cost of holding coal is 20% per ton of its value.
i. Determine the optimal quantity of coal to receive in each order.
ii. Determine the total inventory-related costs associated with the optimal ordering policy (do not include the cost
ii. If five days' lead time is required to receive an order of coal, how much coal should be on hand when an
iv. Optimal quantity 1837.11 Tons, Total cost 1837.11 BD, Inventory during LT 275 Tons
of the coal).
order is placed?
i. Optimal quantity 1469.694 Tons, Total cost 1469.694 BD, Inventory during LT 375 Tons
ii. Optimal quantity 734.85 Tons, Total cost 1649.694 BD, Inventory during LT 150 Tons
v. Optimal quantity 1649.694 Tons, Total cost 1837.11 BD, Inventory during LT 150 Tons
ii. Optimal quantity 1649.694 Tons, Total cost 27000 BD, Inventory during LT 275 Tons
Transcribed Image Text:The GIIC -Company must determine a policy for ordering coal to operate 15 smelters. Each smelter requires exactly 5 tons of coal per day to operate, and the firm operates 360 days per year. The purchasing manager has negotiated a contract to obtain the coal for 5 BD per ton for the coming year. The purchasing manager has determined that the ordering cost is 40 BD per order, and the cost of holding coal is 20% per ton of its value. i. Determine the optimal quantity of coal to receive in each order. ii. Determine the total inventory-related costs associated with the optimal ordering policy (do not include the cost ii. If five days' lead time is required to receive an order of coal, how much coal should be on hand when an iv. Optimal quantity 1837.11 Tons, Total cost 1837.11 BD, Inventory during LT 275 Tons of the coal). order is placed? i. Optimal quantity 1469.694 Tons, Total cost 1469.694 BD, Inventory during LT 375 Tons ii. Optimal quantity 734.85 Tons, Total cost 1649.694 BD, Inventory during LT 150 Tons v. Optimal quantity 1649.694 Tons, Total cost 1837.11 BD, Inventory during LT 150 Tons ii. Optimal quantity 1649.694 Tons, Total cost 27000 BD, Inventory during LT 275 Tons
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