9. One of the products sold by Packard LaserJet Z99 printer. As purchasing manager, you have the following information for the printer: Average weekly demand (52 weeks per year): Standard deviation of weekly demand: 60 printers 12 printers 3 weeks Order lead time: Standard deviation of order DIS lead time: O (lead times are constant) Item cost: $120 per printer $2 Cost to place an order: Yearly holding cost per printer: $48 Desired service level during reordering period: 99% (z = 2.33) %3D a. () What is the economic order quantity for the printer? b. (**) Calculate annual ordering costs and holding costs (ignoring safety stock) for the EOQ. What do you notice about the two? c. (") Suppose OfficeMax currently orders 120 printers at a time. How much more or less would OfficeMax pay in holding and ordering costs per year if it ordered just 12 printers at a time? Show your work. d. (**) What is the reorder point for the printer? How much of the reorder point consists of safety stock? For parts e and f, use the following formula to consider the impact of safety stock (SS) on average inventory levels and annual holding costs: + Ss H e. (***) What is the annual cost of holding inventory including the safety stock? How much of this cost i due to the safety stock? f. (***) Suppose OfficeMax is able to cut the lead time to constant 1 week. What would the new safety stock leve be? How much would this reduce annual holding costs

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Chapter20: Inventory Management: Economic Order Quantity, Jit, And The Theory Of Constraints
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9. One of the products sold by OfficeMax is a Hewlett-
Packard LaserJet Z99 printer. As purchasing manager, you
have the following information for the printer:
Average weekly demand (52
weeks per year):
Standard deviation of weekly
demand:
60 printers
12 printers
Order lead time:
3 weeks
Standard deviation of order
DIS lead time:
O (lead times are
constant)
$120 per printer
Item cost:
Cost to place an order:
Yearly holding cost per printer: $48
Desired service level during
reordering period:
$2
99% (z = 2.33)
a. () What is the economic order quantity for the printer?
b. (*") Calculate annual ordering costs and holding costs
(ignoring safety stock) for the EOQ. What do you
notice about the two?
c. (*") Suppose OfficeMax currently orders 120 printers
at a time. How much more or less would OfficeMax
pay in holding and ordering costs per year if it ordered
just 12 printers at a time? Show your work.
d. (**) What is the reorder point for the printer? How
much of the reorder point consists of safety stock?
For parts e and f, use the following formula to consider
the impact of safety stock (SS) on average inventory
levels and annual holding costs:
Q.
+ Ss H
2
e. (***) What is the annual cost of holding inventory,
including the safety stock? How much of this cost is
due to the safety stock?
f. (***) Suppose OfficeMax is able to cut the lead time to a
constant 1 week. What would the new safety stock level
be? How much would this reduce annual holding costs?
Transcribed Image Text:9. One of the products sold by OfficeMax is a Hewlett- Packard LaserJet Z99 printer. As purchasing manager, you have the following information for the printer: Average weekly demand (52 weeks per year): Standard deviation of weekly demand: 60 printers 12 printers Order lead time: 3 weeks Standard deviation of order DIS lead time: O (lead times are constant) $120 per printer Item cost: Cost to place an order: Yearly holding cost per printer: $48 Desired service level during reordering period: $2 99% (z = 2.33) a. () What is the economic order quantity for the printer? b. (*") Calculate annual ordering costs and holding costs (ignoring safety stock) for the EOQ. What do you notice about the two? c. (*") Suppose OfficeMax currently orders 120 printers at a time. How much more or less would OfficeMax pay in holding and ordering costs per year if it ordered just 12 printers at a time? Show your work. d. (**) What is the reorder point for the printer? How much of the reorder point consists of safety stock? For parts e and f, use the following formula to consider the impact of safety stock (SS) on average inventory levels and annual holding costs: Q. + Ss H 2 e. (***) What is the annual cost of holding inventory, including the safety stock? How much of this cost is due to the safety stock? f. (***) Suppose OfficeMax is able to cut the lead time to a constant 1 week. What would the new safety stock level be? How much would this reduce annual holding costs?
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