10-1
Chapter 10
Accounts Receivable
and Inventory
Management
10-2
Accounts Receivable and
Inventory Management
? Credit and Collection
Policies
? Analyzing the Credit
Applicant
? Inventory Management and
Control
10-3
Credit and Collection
Policies of the Firm
(1) Average
Collection Period
(2) Bad-debt
Losses
Quality of
Trade Account
Length of
Credit Period
Possible Cash
Discount
Firm
Collection
Program
10-4
Credit Standards
The financial manager should continually
lower the firm’s credit standards as long as
profitability from the change exceeds the
extra costs generated by the additional
receivables.
Credit Standards -- The minimum quality
of credit worthiness of a credit applicant
that is acceptable to the firm.
Why lower the firm’s credit standards?
10-5
Credit Standards
? A larger credit department
? Additional clerical work
? Servicing additional accounts
? Bad-debt losses
? Opportunity costs
Costs arising from relaxing
credit standards
10-6
Example of Relaxing
Credit Standards
Basket Wonders is not operating at full capacity
and wants to determine if a relaxation of their
credit standards will enhance profitability,
? The firm is currently producing a single
product with variable costs of $20 and selling
price of $25.
? Relaxing credit standards is not expected to
affect current customer payment habits.
10-7
Example of Relaxing
Credit Standards
? Additional annual credit sales of $120,000 and an
average collection period for new accounts of 3
months is expected.
? The before-tax opportunity cost for each dollar of
funds died-up in additional receivables is 20%.
Ignoring any additional bad-debt losses
that may arise,should Basket
Wonders relax their credit standards?
10-8
Example of Relaxing
Credit Standards
Profitability of ($5 contribution) x (4,800 units) =
additional sales $24,000
Additional ($120,000 sales) / (4 Turns) =
receivables $30,000
Investment in ($20/$25) x ($30,000) =
add,receivables $24,000
Req,pre-tax return (20% opp,cost) x $24,000 =
on add,investment $4,800
Yes! Profits > Required pre-tax return
10-9
Credit and Collection
Policies of the Firm
(1) Average
Collection Period
(2) Bad-debt
Losses
Quality of
Trade Account
Length of
Credit Period
Possible Cash
Discount
Firm
Collection
Program
10-10
Credit Terms
Credit Period -- The total length of time over
which credit is extended to a customer to
pay a bill,For example,net 30?requires full
payment to the firm within 30 days from the
invoice date.
Credit Terms -- Specify the length of time
over which credit is extended to a customer
and the discount,if any,given for early
payment,For example,?/10,net 30.
10-11
Example of Relaxing
the Credit Period
Basket Wonders is considering changing its
credit period from net 30 (which has resulted in
12 A/R turns per year) to net 60 (which is
expected to result in 6 A/R turns per year),
?The firm is currently producing a single product
with variable costs of $20 and a selling price of
$25.
?Additional annual credit sales of $250,000 from
new customers are forecasted,in addition to the
current $2 million in annual credit sales.
10-12
Example of Relaxing
the Credit Period
?The before-tax opportunity cost for each dollar
of funds died-up in additional receivables is
20%.
Ignoring any additional bad-debt losses
that may arise,should Basket Wonders
relax their credit period?
10-13
Example of Relaxing
the Credit Period
Profitability of ($5 contribution)x(10,000 units) =
additional sales $50,000
Additional ($250,000 sales) / (6 Turns) =
receivables $41,667
Investment in add,($20/$25) x ($41,667) =
receivables (new sales) $33,334
Previous ($2,000,000 sales) / (12 Turns) =
receivable level $166,667
10-14
Example of Relaxing
the Credit Period
New ($2,000,000 sales) / (6 Turns) =
receivable level $333,333
Investment in $333,333 - $166,667 =
add,receivables $166,666
(original sales)
Total investment in $33,334 + $166,666 =
add,receivables $200,000
Req,pre-tax return (20% opp,cost) x $200,000 =
on add,investment $40,000
Yes! Profits > Required pre-tax return
10-15
Credit and Collection
Policies of the Firm
(1) Average
Collection Period
(2) Bad-debt
Losses
Quality of
Trade Account
Length of
Credit Period
Possible Cash
Discount
Firm
Collection
Program
10-16
Credit Terms
Cash Discount -- A percent (%) reduction in
sales or purchase price allowed for early
payment of invoices,For example,? /
10?allows the customer to take a 2% cash
discount during the cash discount period.
Cash Discount Period -- The period of time
during which a cash discount can be taken for
early payment,For example,? / 10 allows a
cash discount in the first 10 days from the
invoice date.
10-17
Example of Introducing
a Cash Discount
A competing firm of Basket Wonders is
considering changing the credit period from net
60 (which has resulted in 6 A/R turns per year)
to?/10,net 60.
?Current annual credit sales of $5 million are
expected to be maintained.
?The firm expects 30% of its credit customers (in
dollar volume) to take the cash discount and
thus increase A/R turns to 8.
10-18
?The before-tax opportunity cost for each dollar
of funds died-up?in additional receivables is
20%.
Ignoring any additional bad-debt losses
that may arise,should the competing firm
introduce a cash discount?
Example of Introducing
a Cash Discount
10-19
Example of Using
the Cash Discount
Receivable level ($5,000,000 sales) / (6 Turns) =
(Original) $833,333
Receivable level ($5,000,000 sales) / (9 Turns) =
(New) $555,556
Reduction of $833,333 - $555,556 =
investment in A/R $277,777
10-20
Pre-tax cost of,02 x,3 x $5,000,000 =
the cash discount $30,000.
Pre-tax opp,savings (20% opp,cost) x $277,777 =
on reduction in A/R $55,555.
Yes! Savings > Costs
The benefits derived from released accounts
receivable exceed the costs of providing the
discount to the firm’s customers.
Example of Using the
Cash Discount
10-21
Seasonal Dating
? Avoids carrying excess inventory and the
associated carrying costs.
? Accept dating if warehousing costs plus the
required return on investment in inventory exceeds
the required return on additional receivables.
Seasonal Dating -- Credit terms that
encourage the buyer of seasonal products
to take delivery before the peak sales period
and to defer payment until after the peak
sales period.
10-22
Credit and Collection
Policies of the Firm
(1) Average
Collection Period
(2) Bad-debt
Losses
Quality of
Trade Account
Length of
Credit Period
Possible Cash
Discount
Firm
Collection
Program
10-23
Default Risk and
Bad-Debt Losses
Present
Policy Policy A Policy B
Demand $2,400,000 $3,000,000 $3,300,000
Incremental sales $ 600,000 $ 300,000
Default losses
Original sales 2%
Incremental Sales 10% 18%
Avg,Collection Pd.
Original sales 1 month
Incremental Sales 2 months 3 months
10-24
Default Risk and
Bad-Debt Losses
Policy A Policy B
1,Additional sales $600,000 $300,000
2,Profitability,(20% contribution) x (1) 120,000 60,000
3,Add,bad-debt losses,(1) x (bad-debt %) 60,000 54,000
4,Add,receivables,(1) / (New Rec,Turns) 100,000 75,000
5,Inv,in add,receivables,(.80) x (4) 80,000 60,000
6,Required before-tax return on
additional investment,(5) x (20%) 16,000 12,000
7,Additional bad-debt losses +
additional required return,(3) + (6) 76,000 66,000
8,Incremental profitability,(2) - (7) 44,000 (6,000)
Adopt Policy A but not Policy B.
10-25
Collection Policy
and Procedures
The firm should increase collection
expenditures until the marginal
reduction in bad-debt losses equals
the marginal outlay to collect,
Collection
Procedures
? Letters
? Phone calls
? Personal visits
? Legal action
Saturation
Point
Collection Expenditures
Ba
d-
De
bt
L
os
se
s
10-26
Analyzing the
Credit Applicant
? Obtaining information on the
credit applicant
? Analyzing this information to
determine the applicant’s
creditworthiness
? Making the credit decision
10-27
Sources of Information
? Financial statements
? Credit ratings and reports
? Bank checking
? Trade checking
?Company’s own experience
The company must weigh the amount
of information needed versus the time
and expense required.
10-28
Credit Analysis
? the financial statements of the firm
(ratio analysis)
? the character of the company
? the character of management
? the financial strength of the firm
? other individual issues specific to
the firm
A credit analyst is likely to utilize
information regarding:
10-29
Sequential
Investigation Process
The cost of investigation (determining
the type and amount of information
collected) is balanced against the
expected profit from an order.
An example is provided in the following
three slides 10-30 through 10-32.
10-30
Sample Investigation
Process Flow Chart (Part A)
* For previous customers only a Dun & Bradstreet reference book check.
Pending Order
Bad
past credit
experience
Dun & Bradstreet
report analysis*
RejectYesNoStage 1$5 Cost
Stage 2
$5 - $15
Cost
No prior experience whatsoever
10-31
Sample Investigation
Process Flow Chart (Part B)
Accept
Yes
No
Credit rating
limited and/or other
damaging information
unearthed?
No
Yes
Reject
Credit rating
fair and/or other
close to maximum
line of credit?
10-32
Sample Investigation
Process Flow Chart (Part C)
** That is,the credit of a bank is substituted for customer抯 credit.
Bank,creditor,and financial
statement analysis
Accept Reject
Accept,only upon
domestic irrevocable
letter of credit (L/C)**
Fair PoorGood
Stage 3
$30 Cost
10-33
Other Credit
Decision Issues
Line of Credit -- A limit to the amount of credit
extended to an account,Purchaser can buy on
credit up to that limit.
? Streamlines the procedure for shipping
goods.
Credit-scoring system -- A system used to
decide whether to grant credit by assigning
numerical scores to various characteristics
related to creditworthiness.
10-34
Inventory
Management and Control
?Raw-materials inventory
?In-transit inventory
?Finished-goods inventories
Inventories form a link between
production and sale of a product.
Inventory types:
10-35
Inventory
Management and Control
?Purchasing
?Production scheduling
?Efficient servicing of customer
demands
Inventories provide flexibility
for the firm in:
10-36
Appropriate
Level of Inventories
Employ a cost-benefit analysis.
Compare the benefits of economies of
production,purchasing,and product
marketing against the cost of the
additional investment in inventories.
How does a firm determine
the appropriate level of
inventories?
10-37
ABC Method of
Inventory Control
Method which controls
expensive inventory
items more closely than
less expensive items.
?Review A items most
frequently
?Review B and C items
less rigorously and/or
less frequently.
ABC method of
inventory control
0 15 45 100
Cumulative Percentage
of Items in Inventory
70
90
100
Cu
mu
lati
ve
Pe
rc
en
tag
e
of
In
ve
nto
ry
V
alu
e
A
B
C
10-38
How Much to Order?
? Forecast usage
? Ordering cost
? Carrying cost
Ordering can mean either the purchase or
production of the item.
The optimal quantity to order
depends on:
10-39
Total Inventory Costs
C,Carrying costs per unit per period
O,Ordering costs per order
S,Total usage during the period
Total inventory costs (T) =
C (Q / 2) + O (S / Q)
TIME
Q / 2
Q
Average
Inventory
IN
VEN
TO
RY
(in
un
its
)
10-40
Economic Order Quantity
The EOQ or
optimal
quantity
(Q*) is:
The quantity of an inventory item to order
so that total inventory costs are minimized
over the firm’s planning period.
Q* =
2 (O) (S)
C
10-41
Example of the
Economic Order
Quantity
Basket Wonders is attempting to determine the
economic order quantity for fabric used in the
production of baskets,
? 10,000 yards of fabric were used at a constant
rate last period.
? Each order represents an ordering cost of $200.
? Carrying costs are $1 per yard over the 100-day
planning period.
What is the economic order quantity?
10-42
Economic Order Quantity
We will solve for the economic order quantity
given that ordering costs are $200 per order,
total usage over the period was 10,000 units,
and carrying costs are $1 per yard (unit).
Q* = 2 ($200) (10,000)$1
Q* = 2,000 Units
10-43
Total Inventory Costs
EOQ (Q*) represents the minimum
point in total inventory costs.
Total inventory costs
Total Carrying Costs
Total Ordering Costs
Q* Order Size (Q)
Co
sts
10-44
When to Order?
Order Point -- The quantity to which inventory
must fall in order to signal that an order must
be placed to replenish an item.
Order Point (OP) = Lead time X Daily usage
Issues to consider:
Lead Time -- The length of time between the
placement of an order for an inventory item and
when the item is received in inventory.
10-45
Example of When to Order
Julie Miller of Basket Wonders has determined
that it takes only 2 days to receive the order of
fabric after the placement of the order.
When should Julie order more fabric?
Lead time = 2 days
Daily usage = 10,000 yards / 100 days
= 100 yards per day
Order Point = 2 days x 100 yards per day
= 200 yards
10-46
Example of When to Order
0 18 20 38 40
Lead
Time
200
2000
Order
PointUNI
TS
DAYS
Economic Order Quantity (Q*)
10-47
Safety Stock
Our previous example assumed certain demand
and lead time,When demand and/or lead time are
uncertain,then the order point is:
Order Point =
(Avg,lead time x Avg,daily usage) + Safety stock
Safety Stock -- Inventory stock held in reserve
as a cushion against uncertain demand (or
usage) and replenishment lead time.
10-48
Order Point
with Safety Stock
0 18 20 38
400
2000
Order
Point
UN
ITS
DAYS
2200
Safety Stock200
10-49
Order Point
with Safety Stock
UN
ITS
DAYS
Safety Stock
Actual lead
time is 3 days!
(at day 21)
2200
2000
Order
Point
400
200
0 18 21
The firm 揹 ips
into the safety stock
10-50
How Much Safety Stock?
? Amount of uncertainty in inventory demand
? Amount of uncertainty in the lead time
? Cost of running out of inventory
? Cost of carrying inventory
What is the proper amount
amount of safety stock?
Depends on the:
10-51
Just-in-Time
? A very accurate production and
inventory information system
? Highly efficient purchasing
? Reliable suppliers
? Efficient inventory-handling system
Just-in-Time -- An approach to inventory
management and control in which inventories
are acquired and inserted in production at the
exact times they are needed.
Requirements of applying this approach:
Chapter 10
Accounts Receivable
and Inventory
Management
10-2
Accounts Receivable and
Inventory Management
? Credit and Collection
Policies
? Analyzing the Credit
Applicant
? Inventory Management and
Control
10-3
Credit and Collection
Policies of the Firm
(1) Average
Collection Period
(2) Bad-debt
Losses
Quality of
Trade Account
Length of
Credit Period
Possible Cash
Discount
Firm
Collection
Program
10-4
Credit Standards
The financial manager should continually
lower the firm’s credit standards as long as
profitability from the change exceeds the
extra costs generated by the additional
receivables.
Credit Standards -- The minimum quality
of credit worthiness of a credit applicant
that is acceptable to the firm.
Why lower the firm’s credit standards?
10-5
Credit Standards
? A larger credit department
? Additional clerical work
? Servicing additional accounts
? Bad-debt losses
? Opportunity costs
Costs arising from relaxing
credit standards
10-6
Example of Relaxing
Credit Standards
Basket Wonders is not operating at full capacity
and wants to determine if a relaxation of their
credit standards will enhance profitability,
? The firm is currently producing a single
product with variable costs of $20 and selling
price of $25.
? Relaxing credit standards is not expected to
affect current customer payment habits.
10-7
Example of Relaxing
Credit Standards
? Additional annual credit sales of $120,000 and an
average collection period for new accounts of 3
months is expected.
? The before-tax opportunity cost for each dollar of
funds died-up in additional receivables is 20%.
Ignoring any additional bad-debt losses
that may arise,should Basket
Wonders relax their credit standards?
10-8
Example of Relaxing
Credit Standards
Profitability of ($5 contribution) x (4,800 units) =
additional sales $24,000
Additional ($120,000 sales) / (4 Turns) =
receivables $30,000
Investment in ($20/$25) x ($30,000) =
add,receivables $24,000
Req,pre-tax return (20% opp,cost) x $24,000 =
on add,investment $4,800
Yes! Profits > Required pre-tax return
10-9
Credit and Collection
Policies of the Firm
(1) Average
Collection Period
(2) Bad-debt
Losses
Quality of
Trade Account
Length of
Credit Period
Possible Cash
Discount
Firm
Collection
Program
10-10
Credit Terms
Credit Period -- The total length of time over
which credit is extended to a customer to
pay a bill,For example,net 30?requires full
payment to the firm within 30 days from the
invoice date.
Credit Terms -- Specify the length of time
over which credit is extended to a customer
and the discount,if any,given for early
payment,For example,?/10,net 30.
10-11
Example of Relaxing
the Credit Period
Basket Wonders is considering changing its
credit period from net 30 (which has resulted in
12 A/R turns per year) to net 60 (which is
expected to result in 6 A/R turns per year),
?The firm is currently producing a single product
with variable costs of $20 and a selling price of
$25.
?Additional annual credit sales of $250,000 from
new customers are forecasted,in addition to the
current $2 million in annual credit sales.
10-12
Example of Relaxing
the Credit Period
?The before-tax opportunity cost for each dollar
of funds died-up in additional receivables is
20%.
Ignoring any additional bad-debt losses
that may arise,should Basket Wonders
relax their credit period?
10-13
Example of Relaxing
the Credit Period
Profitability of ($5 contribution)x(10,000 units) =
additional sales $50,000
Additional ($250,000 sales) / (6 Turns) =
receivables $41,667
Investment in add,($20/$25) x ($41,667) =
receivables (new sales) $33,334
Previous ($2,000,000 sales) / (12 Turns) =
receivable level $166,667
10-14
Example of Relaxing
the Credit Period
New ($2,000,000 sales) / (6 Turns) =
receivable level $333,333
Investment in $333,333 - $166,667 =
add,receivables $166,666
(original sales)
Total investment in $33,334 + $166,666 =
add,receivables $200,000
Req,pre-tax return (20% opp,cost) x $200,000 =
on add,investment $40,000
Yes! Profits > Required pre-tax return
10-15
Credit and Collection
Policies of the Firm
(1) Average
Collection Period
(2) Bad-debt
Losses
Quality of
Trade Account
Length of
Credit Period
Possible Cash
Discount
Firm
Collection
Program
10-16
Credit Terms
Cash Discount -- A percent (%) reduction in
sales or purchase price allowed for early
payment of invoices,For example,? /
10?allows the customer to take a 2% cash
discount during the cash discount period.
Cash Discount Period -- The period of time
during which a cash discount can be taken for
early payment,For example,? / 10 allows a
cash discount in the first 10 days from the
invoice date.
10-17
Example of Introducing
a Cash Discount
A competing firm of Basket Wonders is
considering changing the credit period from net
60 (which has resulted in 6 A/R turns per year)
to?/10,net 60.
?Current annual credit sales of $5 million are
expected to be maintained.
?The firm expects 30% of its credit customers (in
dollar volume) to take the cash discount and
thus increase A/R turns to 8.
10-18
?The before-tax opportunity cost for each dollar
of funds died-up?in additional receivables is
20%.
Ignoring any additional bad-debt losses
that may arise,should the competing firm
introduce a cash discount?
Example of Introducing
a Cash Discount
10-19
Example of Using
the Cash Discount
Receivable level ($5,000,000 sales) / (6 Turns) =
(Original) $833,333
Receivable level ($5,000,000 sales) / (9 Turns) =
(New) $555,556
Reduction of $833,333 - $555,556 =
investment in A/R $277,777
10-20
Pre-tax cost of,02 x,3 x $5,000,000 =
the cash discount $30,000.
Pre-tax opp,savings (20% opp,cost) x $277,777 =
on reduction in A/R $55,555.
Yes! Savings > Costs
The benefits derived from released accounts
receivable exceed the costs of providing the
discount to the firm’s customers.
Example of Using the
Cash Discount
10-21
Seasonal Dating
? Avoids carrying excess inventory and the
associated carrying costs.
? Accept dating if warehousing costs plus the
required return on investment in inventory exceeds
the required return on additional receivables.
Seasonal Dating -- Credit terms that
encourage the buyer of seasonal products
to take delivery before the peak sales period
and to defer payment until after the peak
sales period.
10-22
Credit and Collection
Policies of the Firm
(1) Average
Collection Period
(2) Bad-debt
Losses
Quality of
Trade Account
Length of
Credit Period
Possible Cash
Discount
Firm
Collection
Program
10-23
Default Risk and
Bad-Debt Losses
Present
Policy Policy A Policy B
Demand $2,400,000 $3,000,000 $3,300,000
Incremental sales $ 600,000 $ 300,000
Default losses
Original sales 2%
Incremental Sales 10% 18%
Avg,Collection Pd.
Original sales 1 month
Incremental Sales 2 months 3 months
10-24
Default Risk and
Bad-Debt Losses
Policy A Policy B
1,Additional sales $600,000 $300,000
2,Profitability,(20% contribution) x (1) 120,000 60,000
3,Add,bad-debt losses,(1) x (bad-debt %) 60,000 54,000
4,Add,receivables,(1) / (New Rec,Turns) 100,000 75,000
5,Inv,in add,receivables,(.80) x (4) 80,000 60,000
6,Required before-tax return on
additional investment,(5) x (20%) 16,000 12,000
7,Additional bad-debt losses +
additional required return,(3) + (6) 76,000 66,000
8,Incremental profitability,(2) - (7) 44,000 (6,000)
Adopt Policy A but not Policy B.
10-25
Collection Policy
and Procedures
The firm should increase collection
expenditures until the marginal
reduction in bad-debt losses equals
the marginal outlay to collect,
Collection
Procedures
? Letters
? Phone calls
? Personal visits
? Legal action
Saturation
Point
Collection Expenditures
Ba
d-
De
bt
L
os
se
s
10-26
Analyzing the
Credit Applicant
? Obtaining information on the
credit applicant
? Analyzing this information to
determine the applicant’s
creditworthiness
? Making the credit decision
10-27
Sources of Information
? Financial statements
? Credit ratings and reports
? Bank checking
? Trade checking
?Company’s own experience
The company must weigh the amount
of information needed versus the time
and expense required.
10-28
Credit Analysis
? the financial statements of the firm
(ratio analysis)
? the character of the company
? the character of management
? the financial strength of the firm
? other individual issues specific to
the firm
A credit analyst is likely to utilize
information regarding:
10-29
Sequential
Investigation Process
The cost of investigation (determining
the type and amount of information
collected) is balanced against the
expected profit from an order.
An example is provided in the following
three slides 10-30 through 10-32.
10-30
Sample Investigation
Process Flow Chart (Part A)
* For previous customers only a Dun & Bradstreet reference book check.
Pending Order
Bad
past credit
experience
Dun & Bradstreet
report analysis*
RejectYesNoStage 1$5 Cost
Stage 2
$5 - $15
Cost
No prior experience whatsoever
10-31
Sample Investigation
Process Flow Chart (Part B)
Accept
Yes
No
Credit rating
limited and/or other
damaging information
unearthed?
No
Yes
Reject
Credit rating
fair and/or other
close to maximum
line of credit?
10-32
Sample Investigation
Process Flow Chart (Part C)
** That is,the credit of a bank is substituted for customer抯 credit.
Bank,creditor,and financial
statement analysis
Accept Reject
Accept,only upon
domestic irrevocable
letter of credit (L/C)**
Fair PoorGood
Stage 3
$30 Cost
10-33
Other Credit
Decision Issues
Line of Credit -- A limit to the amount of credit
extended to an account,Purchaser can buy on
credit up to that limit.
? Streamlines the procedure for shipping
goods.
Credit-scoring system -- A system used to
decide whether to grant credit by assigning
numerical scores to various characteristics
related to creditworthiness.
10-34
Inventory
Management and Control
?Raw-materials inventory
?In-transit inventory
?Finished-goods inventories
Inventories form a link between
production and sale of a product.
Inventory types:
10-35
Inventory
Management and Control
?Purchasing
?Production scheduling
?Efficient servicing of customer
demands
Inventories provide flexibility
for the firm in:
10-36
Appropriate
Level of Inventories
Employ a cost-benefit analysis.
Compare the benefits of economies of
production,purchasing,and product
marketing against the cost of the
additional investment in inventories.
How does a firm determine
the appropriate level of
inventories?
10-37
ABC Method of
Inventory Control
Method which controls
expensive inventory
items more closely than
less expensive items.
?Review A items most
frequently
?Review B and C items
less rigorously and/or
less frequently.
ABC method of
inventory control
0 15 45 100
Cumulative Percentage
of Items in Inventory
70
90
100
Cu
mu
lati
ve
Pe
rc
en
tag
e
of
In
ve
nto
ry
V
alu
e
A
B
C
10-38
How Much to Order?
? Forecast usage
? Ordering cost
? Carrying cost
Ordering can mean either the purchase or
production of the item.
The optimal quantity to order
depends on:
10-39
Total Inventory Costs
C,Carrying costs per unit per period
O,Ordering costs per order
S,Total usage during the period
Total inventory costs (T) =
C (Q / 2) + O (S / Q)
TIME
Q / 2
Q
Average
Inventory
IN
VEN
TO
RY
(in
un
its
)
10-40
Economic Order Quantity
The EOQ or
optimal
quantity
(Q*) is:
The quantity of an inventory item to order
so that total inventory costs are minimized
over the firm’s planning period.
Q* =
2 (O) (S)
C
10-41
Example of the
Economic Order
Quantity
Basket Wonders is attempting to determine the
economic order quantity for fabric used in the
production of baskets,
? 10,000 yards of fabric were used at a constant
rate last period.
? Each order represents an ordering cost of $200.
? Carrying costs are $1 per yard over the 100-day
planning period.
What is the economic order quantity?
10-42
Economic Order Quantity
We will solve for the economic order quantity
given that ordering costs are $200 per order,
total usage over the period was 10,000 units,
and carrying costs are $1 per yard (unit).
Q* = 2 ($200) (10,000)$1
Q* = 2,000 Units
10-43
Total Inventory Costs
EOQ (Q*) represents the minimum
point in total inventory costs.
Total inventory costs
Total Carrying Costs
Total Ordering Costs
Q* Order Size (Q)
Co
sts
10-44
When to Order?
Order Point -- The quantity to which inventory
must fall in order to signal that an order must
be placed to replenish an item.
Order Point (OP) = Lead time X Daily usage
Issues to consider:
Lead Time -- The length of time between the
placement of an order for an inventory item and
when the item is received in inventory.
10-45
Example of When to Order
Julie Miller of Basket Wonders has determined
that it takes only 2 days to receive the order of
fabric after the placement of the order.
When should Julie order more fabric?
Lead time = 2 days
Daily usage = 10,000 yards / 100 days
= 100 yards per day
Order Point = 2 days x 100 yards per day
= 200 yards
10-46
Example of When to Order
0 18 20 38 40
Lead
Time
200
2000
Order
PointUNI
TS
DAYS
Economic Order Quantity (Q*)
10-47
Safety Stock
Our previous example assumed certain demand
and lead time,When demand and/or lead time are
uncertain,then the order point is:
Order Point =
(Avg,lead time x Avg,daily usage) + Safety stock
Safety Stock -- Inventory stock held in reserve
as a cushion against uncertain demand (or
usage) and replenishment lead time.
10-48
Order Point
with Safety Stock
0 18 20 38
400
2000
Order
Point
UN
ITS
DAYS
2200
Safety Stock200
10-49
Order Point
with Safety Stock
UN
ITS
DAYS
Safety Stock
Actual lead
time is 3 days!
(at day 21)
2200
2000
Order
Point
400
200
0 18 21
The firm 揹 ips
into the safety stock
10-50
How Much Safety Stock?
? Amount of uncertainty in inventory demand
? Amount of uncertainty in the lead time
? Cost of running out of inventory
? Cost of carrying inventory
What is the proper amount
amount of safety stock?
Depends on the:
10-51
Just-in-Time
? A very accurate production and
inventory information system
? Highly efficient purchasing
? Reliable suppliers
? Efficient inventory-handling system
Just-in-Time -- An approach to inventory
management and control in which inventories
are acquired and inserted in production at the
exact times they are needed.
Requirements of applying this approach:
