Problem 2 MUST SHOW ALL WORK Chapter 9: A store has collected the following info
ID: 447440 • Letter: P
Question
Problem 2 MUST SHOW ALL WORK
Chapter 9: A store has collected the following information on one of its products:
Demand = 6,760 units/year
Standard deviation of weekly demand = 18 units
Ordering costs = $40/order
Holding costs = $2/unit/year
Cycle-service level = 90%
Lead-time = 3 weeks
Number of weeks per year = 52 weeks
If the firm uses the continuous review system to control the inventory, what would be its order quantity and reorder point?
Assume that the firm decided to change to the periodic review system to control the item’s inventory. The time between reviews, P, is calculated using the EOQ model. For the most recent review, an inventory clerk checked the inventory of this item and found 500 units. There were no scheduled receipts or backorders at the time. Determine how many units should the firm order.
Explanation / Answer
economic order quantity = under root of 2*annual demand*unit cost 0f purchase/ cost of holding = underroot of 2*6760*40/2 = 520 units
weekly demand = 6760/52 = 130 units
demand in 3 weeks = 390 units
reorder point = expected demand during lead time + safety stock = 3*130+ ss
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