Aggregate production in the next four quarters is set to be 300 units in each qu
ID: 443930 • Letter: A
Question
Aggregate production in the next four quarters is set to be 300 units in each quarter. Demand is 300, 250, 400, and 250 units respectively in each of the next four quarters. Beginning inventory is zero. If we are unable to meet the demand, it is not lost but backordered. Cost of holding one unit in inventory per quarter is $ 3, and the cost of having one unit of inventory backordered per quarter is $ 9. In the given production plan, what is the total cost of inventory (holding cost and backorder cost combined)? (For simplicity, assume that all shipments take place at the end of each quarter, not during the quarter)
Explanation / Answer
Quarter I II III IV Supply 300 300 300 300 Production Required 300 250 400 250 Actual production 300 300 300 300 Beginning Inventory 0 0 50 0 Ending Inventory 0 50 -50 0 Back Order 0 0 0 50 Holding Cost 0 0 $150 (3*50) 0 Backorder 0 0 0 $450 (50*9) Total 0 0 1$50 $450 Total Cost of Inventoryfor all Quarter $600