# optimal quantity of coal to receive in each order

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.

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

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?

https://brainmass.com/math/optimization/optimal-quantity-coal-receive-each-order-350801

#### Solution Summary

Determine the optimal quantity of coal to receive in each order. Determine the total inventory-related costs associated with the optimal ordering policy (do not include the cost of the coal). 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?