Transcribed Image Text: Barbara Flynn's company has compiled the following
12.5
ata on a small set of products:
ITEM
A
B
C
D
E
ANNUAL DEMAND
ITEM NUMBER
E102
D23
D27
R02
R19
$107
$123
U11
U23
V75
100
75
50
200
150
Perform an ABC analysis on her data. PX
12.6 Lynn Fish opened a new beauty-products retail store.
There are numerous items in inventory, and Lynn knows that
there are costs associated with inventory. However, because her
time is limited, she cannot carefully evaluate the inventory policy
for all products. Lynn wants to classify the items according to dol-
lars invested in them. The following table provides information
about the 10 items that she carries:
UNIT COST
$300
100
50
100
65
UNIT COST
$4
$16
$8
$2
$8
$12
$1
$7
$1
$14
DEMAND (UNITS)
800
2,400
700
1,000
200
500
1,200
800
Use ABC analysis to classify these items into categories A, B,
and C. PX
1,500
2,500
Problems 12.7-12.40 relate to Inventory Models for Independent Demand
• 12.7
William Beville's computer training school, in
Richmond, stocks workbooks with the following characteristics:
Demand D= 19,500 units/year
Ordering cost S = $25/order
Holding cost H = $4/unit/year
a) Calculate the EOQ for the workbooks.
b) What are the annual holding costs for the workbooks?
c) What are the annual ordering costs? PX
12.8 If D=8,000 per month, S = $45 per order, and
H = $2 per unit per month,
a) What is the economic order quantity?
b) How does your answer change if the holding cost doubles?
c) What if the holding cost drops in half? PX
12.9
Leilani Lavender's law office has traditionally ordered
ink refills 60 units at a time. The firm estimates that carrying cost
is 40% of the $10 unit cost and that annual demand is about 240
units per year. The assumptions of the basic EOQ model are
thought to apply.
a) For what value of ordering cost would its action be optimal?
b) If the true ordering cost turns out to be much greater than your
answer to (a), what is the impact on the firm's ordering policy?
CHAPTER 12 INVENTORY MANAGEMENT 523
• 12.10
Matthew Liotine's Dream Store sells beds and as-
sorted supplies. His best-selling bed has an annual demand of 400
units. Ordering cost is $40; holding cost is $5 per unit per year.
a) To minimize the total cost, how many units should be ordered
each time an order is placed?
b) If the holding cost per unit was S6 instead of $5, what would
be the optimal order quantity? PX
• 12.11
Southeastern Bell stocks a certain switch connector at
its central warehouse for supplying field service offices. The yearly
demand for these connectors is 15,000 units. Southeastern esti-
mates its annual holding cost for this item to be $25 per unit. The
cost to place and process an order from the supplier is $75. The
company operates 300 days per year, and the lead time to receive
an order from the supplier is 2 working days.
a) Find the economic order quantity.
b) Find the annual holding costs.
c) Find the annual ordering costs.
d) What is the reorder point? PX
12.12 Lead time for one of your fastest-moving products is
21 days. Demand during this period averages 100 units per day.
a) What would be an appropriate reorder point?
b) How does your answer change if demand during lead time doubles?
c) How does your answer change if demand during lead time
drops in half?
• 12.13 Annual demand for the notebook binders at Duncan's
Stationery Shop is 10,000 units. Dana Duncan operates her busi-
ness 300 days per year and finds that deliveries from her supplier
generally take 5 working days.
a) Calculate the reorder point for the notebook binders that she
stocks.
b) Why is this number important to Duncan?
..12.14 Thomas Kratzer is the purchasing manager for the
headquarters of a large insurance company chain with a central
inventory operation. Thomas's fastest-moving inventory item has
a demand of 6,000 units per year. The cost of each unit is $100,
and the inventory carrying cost is $10 per unit per year. The aver-
age ordering cost is $30 per order. It takes about 5 days for an
order to arrive, and the demand for 1 week is 120 units. (This is a
corporate operation, and there are 250 working days per year.)
a) What is the EOQ?
b) What is the average inventory if the EOQ is used?
c) What is the optimal number of orders per year?
d) What is the optimal number of days in between any two orders?
e) What is the annual cost of ordering and holding inventory?
f) What is the total annual inventory cost, including the cost of
the 6,000 units? PX
.. 12.15 Jordin Henry's machine shop uses 2,500 brackets during
the course of a year. These brackets are purchased from a supplier
90 miles away. The following information is known about the brackets:
2,500
$1.50
$18.75
2 days
250
Annual demand:
Holding cost per bracket per year:
Order cost per order:
Lead time:
Working days per year:
a) Given the information, what would be the economic order
quantity (EOQ)?
b) Given the EOQ, what would be the average inventory? What
would be the annual inventory holding cost?