Wong Enterprises used a Continuous Review System (i.e., Q System) for controlling inventory for a specific end-item. The firm operates 5 days per week and 52 weeks a year and the end-item has the following characteristics:
Demand (D) = 20,020 units/year
Ordering Costs (S) = $40/order
Holding Costs = $1/unit/six months
Leadtime (L) = 10 days
Cycle Service Level = 94.95%
Assume that Demand is normally distributed; with Standard Deviation of weekly demand = 100 units.
Current on-hand inventory is 1040 units, with no scheduled receipts and no backorders.
Q#1. The EOQ for this item is:
Q#2. The average time, P (in weeks), between orders is: (round to the nearest week)
Q#3. The safety stock for the Q system is:
Q#4. The safety stock for the P system is:
Q#5. The reorder point, R, in the Q system is (in units):
Q#6. Annual Holding Costs equal (in Dollars):
Q#7. Annual Costs for placing orders is (in Dollars):
Q#8. Assuming that a withdrawal of 15 units just occurred, will you place an order?
Q# 9. Assume that we are now operating a P system. Then, the target level, T, is (in units):
Q# 10. The difference between the safety stock for the P system and the Q system is (in units):
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