S UPPLY C HAIN
M ANAGEMENT , F ACILITY C APACITY , L OCATION , AND
L AYOUT
Unit III
S
UPPLY CHAIN MANAGEMENT A supply chain is the interrelated series of processes within a firm or across different firms that produces a service or product to the satisfaction of customers.
SCM is the synchronization of a firm’s processes with those of its suppliers and customers to match flow of materials, services, and information with demand.
W
HAT IS AS
UPPLYC
HAIN?
All stages involved, directly or indirectly, in fulfilling a customer request
Includes manufacturers, suppliers, transporters, warehouses, retailers, and customers
Within each company, the supply chain includes all functions involved in fulfilling a customer request (product development, marketing, operations, distribution, finance, customer service)
W
HAT IS AS
UPPLYC
HAIN?
The different stages of supply chain are:
Customers
Retailers
Wholesalers/distributors
Manufacturers
Component/Raw material suppliers
All stages may not be present in all supply chains (e.g., no retailer or distributor for Dell)
A supply chain is dynamic.
It involves constant flow of information, products and funds at different stages.
F
LOWS IN AS
UPPLYC
HAINFigure 1-2
S
UPPLYC
HAIN FOR SERVICES
SC design for services is driven by the need to provide support for the essential elements of various services it delivers.
SC plays an integrated role in its
ability to meet competitive priorities
such as top quality, delivery speed,
and customization.
S
ERVICES
UPPLYC
HAINHome
customers Commercial
customers Flowers-on-Demand florist
Packaging Flowers:
Local/Internati onal
Arrangem materials ent FedEx
delivery service
Local delivery
service
Internet service Maintenan
ce services
S
UPPLYC
HAIN FORM
ANUFACTURING
The purpose of SC design for manufacturers is to control inventory by managing the flow of materials.
A typical manufacturer spends more than 60% of its total income on purchased services and materials. This percentage is only 30-40% in case of a service provider.
Manufacturers can reap large profits
with a small reduction in the cost of
materials by focusing on their SCs.
M
ANUFACTURINGS
UPPLYC
HAINEast Coast West Coast East Europe West Europe Retail
USA Ireland Distribution
centers Manufacturer
USA Assembly
Poland USA Canada Australia Malaysia
Tier 3 Raw
materia ls
Germany Mexico USA China
Tier 2 Components
Germany Mexico USA
Tier 1 Major
subassemblies
T
HEO
BJECTIVE OF AS
UPPLYC
HAIN Maximize overall value created
Supply Chain Surplus
= Customer Value – Supply Chain Cost
The value a supply chain generates is the
difference between what the final product is
worth to the customer and the costs the
supply chain incurs in filling the customer’s
request.
T
HEO
BJECTIVE OF AS
UPPLYC
HAIN Example: a customer purchases a wireless router from Best Buy for $60 (revenue)
Supply chain incurs costs (information,
storage, transportation, components, assembly, etc.)
Difference between $60 and the sum of all of these costs is the supply chain profit
Supply chain profitability is total profit to be shared across all stages of the supply chain
Success should be measured by total supply chain profitability, not profits at an individual stage
P
ROCESSV
IEW OF AS
UPPLYC
HAIN Cycle View: processes in a supply chain are divided into a series of cycles, each performed at the interfaces between two successive supply chain stages
Push/Pull View: processes in a supply chain are divided into two categories depending on whether they are executed in response to a customer order (pull) or in anticipation of a customer order (push)
C
YCLEV
IEW OFS
UPPLYC
HAINP
ROCESSESP
USH/P
ULLV
IEW OFS
UPPLYC
HAINSP
USH/P
ULLV
IEW OFS
UPPLYC
HAINP
ROCESSES Supply chain processes fall into one of two categories depending on the timing of their execution relative to customer demand
Pull: execution is initiated in response to a customer order (reactive)
Push: execution is initiated in anticipation of customer orders (speculative)
Push/pull boundary separates push processes from pull processes
S
TRATEGICO
PTIONS FORS
UPPLYC
HAIND
ESIGN Efficient supply chains - These supply chains works best in environments where demand is highly predictable. The focus is on efficient service, material and information flows.
Make-to-stock (MTS)
Responsive supply chains – These supply chains are designed to react quickly to demand.
Assemble-to-order (ATO)
Make-to-order (MTO)
Design-to-order (DTO)
E
NVIRONMENTSFactor Efficient Supply
Chains Responsive Supply Chains
Demand Predictable, low forecast
errors Unpredictable, high forecast errors Competitive
priorities Low cost, consistent quality, on-time
delivery
Development speed, fast delivery times,
customization, volume flexibility, variety, top
quality service/product New-
introduction
Infrequent Frequent
Contribution
margins Low High
Product
variety Low High
D
ESIGNF
EATURESFactor Efficient Supply
Chains Responsive Supply Chains
Operation
strategy Make-to-stock or
standardized services or products; emphasize
high volumes
Assemble-to-order, make- to-order, or customized
service or products;
emphasize variety Capacity
cushion Low High
Inventory
investment Low; enable high
inventory turns As needed to enable fast delivery time
Lead time Shorten, but do not
increase costs Shorten aggressively Supplier
selection Emphasize low prices, consistent quality, on-
time delivery
Emphasize fast delivery time, customization, variety, volume flexibility,
top quality
S
UPPLYC
HAIND
ESIGNSComponent
Supplier Manufacturer Finished Goods Inventory
Customer
Supply to forecasted demand
Supply to forecast
Ship to order Customer order Order based on
forecast Order based on
forecast
Make-to-Stock Strategy
S
UPPLYC
HAIND
ESIGNSComponent Supplier
Standardized Component
Inventory
Fabrication Customer
Supply as needed
Customer order Order based on
forecast
Assemble-to-Order Strategy
Assembly
Supply as needed
Supply to Forecasted
Demand
C APACITY P LANNING
•
Capacity is the maximum rate of output of a process or a system.•
Capacity planning helps in meeting current and future demand.•
Acquisition of new capacity requires extensive planning, significant expenditure of resources and time.•
Capacity decisions involve long term issues like firm’s economies, and trade-offs between customer service and capacity utilization.M
EASURES OFC
APACITY ANDU
TILIZATION No single measure of capacity is best for all situations.
A retailer measures capacity as annual sales value generated per square feet whereas an airline measures capacity as available seat- miles.
There are two ways of measuring capacity:
Output Measures of Capacity
Input Measures of Capacity
M
EASURES OFC
APACITY ANDU
TILIZATION Output Measures of Capacity –
This method is best used when firm provides relatively small number of standardized services or products.
For example, in car manufacturing, capacity can be measured in number of cars produced per day.
Input Measure of Capacity -
This method is generally used for low-volume, and flexible processes.
For example, furniture maker, may measure capacity in terms of inputs such as number of workstations or number of workers.
M
EASURES OFC
APACITY ANDU
TILIZATIONUtilization
It is the degree to which a resource such as equipment, space or workforce is being used.
It is measured as the ratio of average output rate to maximum capacity.
It helps in determining how much additional capacity is required or extra capacity that has to be eliminated.
Utilization = 100% Average output rate Maximum capacity
C APACITY P LANNING ( LONG
TERM )
Long term capacity planning involves:
Economies and diseconomies of scale.
Capacity timing and sizing strategies.
Systematic approach to capacity decisions.
E
CONOMIES ANDD
ISECONOMIES OFS
CALEEconomies of Scale
It states that the average unit cost of a service or product can be reduced by increasing its output rate.
Four principal reasons are:
Spreading fixed costs
Reducing construction costs
Cutting costs of purchased materials
Finding process advantages
E
CONOMIES ANDD
ISECONOMIES OFS
CALEDiseconomies of Scale
As the volume increases beyond a certain point, the average cost per unit starts increasing.
The principal reasons are:
Complexity
Loss of focus
Inefficiencies
E
CONOMIES ANDD
ISECONOMIES OFS
CALEC
APACITYT
IMING ANDS
IZINGS
TRATEGIES Sizing Capacity Cushions
Timing and Sizing Expansion
Linking Process Capacity and Other Decisions
S
IZINGC
APACITYC
USHIONS Capacity cushions – the amount of reserve capacity a process uses to handle sudden increases in demand or temporary losses of production capacity.
It measures the amount by which the average utilization (in terms of total capacity) falls below 100 percent.
When demand varies, large cushions are preferred.
S
IZINGC
APACITYC
USHIONS Capacity cushion =
100% – Average Utilization rate (%)
Capacity cushions vary with industry
Capital intensive industries, such as Paper industry, prefer cushions well under 10 percent while hotel industry can live with 30 to 40 percent cushion.
If a firm experiences high overtime costs and frequently needs to rely on subcontractors, it needs to increase its capacity.
C
APACITYT
IMING ANDS
IZING•Timing means when to adjust capacity levels and sizing means by how much.
•There are two extreme strategies for expanding capacity:
• Expansionist strategy;
• Wait-and-see strategy
•
The Expansionist strategy stays ahead of demand and minimizes the chances of sales lost to insufficient capacity.•
The Wait-and-see strategy lags behind demand. To meet any shortfalls, it relies on short-term options, such as, use of overtime, temporary workers, subcontractors, stock-outs, and postponements of maintenance.C
APACITYT
IMING ANDS
IZINGPlanned unused capacity
Time
Capacity
Forecast of capacity required
Time between increments
Capacity increme nt
(a) Expansionist strategy
Time
Capacity
(b) Wait-and-see strategy
Planned use of short-term
options
Time between increments
Capacity increme nt
C
APACITYT
IMING ANDS
IZINGForecast of capacity required
C
APACITYT
IMING ANDS
IZING Expansion can result in economies of scale and a faster learning curve.
It helps in reducing cost and leads to competition on price.
The wait-and-see strategy reduces the risk of overexpansion, and use of obsolete technology.
Management can choose any strategy between these two strategies. An intermediate strategy could be follow-the-leader strategy.
L
INKINGC
APACITY AND OTHERDECISIONS
Capacity decisions are linked with other decisions that managers take like decisions about designing processes, determining degree of resource flexibility and inventory, and locating facilities.
Capacity cushion can be lowered if less
emphasis is placed on fast deliveries, or if
investment in capital intensive
equipment increases or if worker
flexibility increases.
A S
YSTEMATICA
PPROACH TOL
ONG- T
ERMC
APACITYD
ECISIONS1.
Estimate future capacity requirements
2.
Identify gaps by comparing requirements with available capacity
3.
Develop alternative plans for reducing the gaps
4.
Evaluate each alternative, both
qualitatively and quantitatively, and
make a final choice
S
TEP1 - E
STIMATEC
APACITYR
EQUIREMENTS For one service or product processed at one operation witha one year time period, the capacity requirement, M, is
Capacity
requirement =
Processing hours required for year’s demand
Hours available from a single capacity unit (such as an employee or machine) per
year, after deducting desired cushion
M = Dp
N[1 – (C/100)]
Where D = demand forecast for the year (number of customers served or units produced)
p = processing time (in hours per customer served or unit produced)
N = total number of hours per year during which the process operates
C = desired capacity cushion (expressed as a percent)
S
TEP1 - E
STIMATEC
APACITYR
EQUIREMENTSSetup times may be required if multiple products are produced
Capacity
requirement =
Processing and setup hours required for year’s demand, summed over all services
or products
Hours available from a single capacity unit per year, after deducting desired
cushion
M =
[Dp + (D/Q)s]product 1 + [Dp + (D/Q)s]product 2 + … + [Dp + (D/Q)s]product n
N[1 – (C/100)]
where
Q = number of units in each lot
s = setup time in hours per lot
E
XAMPLEA copy center in an office building prepares bound reports for two clients. The center makes multiple copies (the lot size) of each report. The processing time to run, collate, and bind each copy depends on, among other factors, the number of pages. The center operates 250 days per year, with one 8-hour shift. Management believes that a capacity cushion of 15 percent (beyond the allowance built into time standards) is best. It currently has three copy machines. Based on the following information, determine how many machines are needed at the copy center.
Item Client
X Client Y Annual demand forecast (copies) 2,000 6,000 Standard processing time
(hour/copy) 0.5 0.7
Average lot size (copies per
report) 20 30
Standard setup time (hours) 0.25 0.40
E
XAMPLEM =
[Dp + (D/Q)s]product 1 + [Dp + (D/Q)s]product 1 + … + [Dp + (D/Q)s]product n
N[1 – (C/100)]
= [2,000(0.5) + (2,000/20)(0.25)]client X+ [6,000(0.7) + (6,000/30)(0.40)] client Y [(250 day/year)(1 shift/day)(8 hours/shift)][1.0 - (15/100)]
= = 3.12 5,305 1,700
Rounding up to the next integer gives a requirement of four machines.
S
TEP2 - I
DENTIFYG
APS
Identify gaps between projected capacity requirements ( M ) and current capacity
Complicated by multiple operations
and resource inputs
S
TEPS3
AND4 –
D
EVELOP ANDE
VALUATEA
LTERNATIVESBase case is to do nothing and suffer the consequences
Many different alternatives are possible
Qualitative concerns include strategic fit and uncertainties.
Quantitative concerns may include cash
flows and other quantitative measures.
T
OOLS FORC
APACITYP
LANNING Waiting-line models
Useful in high customer-contact processes
Simulation
Useful when models are too complex for waiting-line analysis
Decision trees
Useful when demand is uncertain and sequential decisions are involved
D
ECISIONT
REES1
Low demand [0.40]
High demand [0.60]
Low demand [0.40]
High demand [0.60]
$70,000
$220,000
$40,000
$135,000
$90,000 Do not expand
Expand
2
$135,000
$109,000
$148,000
$148,000
W HAT IS A F ACILITY L OCATION ?
Facility Location
The process of determining geographic sites for a firm’s operations.
Location of a business’s facility has a significant impact on:
•Operating costs,
•Prices it charges,
•Ability to compete in the market, and
•Ability to enter new market segments.
F
ACTORSA
FFECTINGL
OCATIOND
ECISIONSDominant Factors in Manufacturing
Favorable Labor Climate – more important for labour intensive firms like textiles, furniture, etc.
Proximity to Markets – Locating near markets is important when final goods are bulky and outbound transportation costs are more.
Impact on Environment – Polluting industries should locate far-off from cities.
Quality of Life – More than 50% of new industries in US are coming up in non-urban regions.
F
ACTORSA
FFECTINGL
OCATIOND
ECISIONSDominant Factors in Manufacturing
Proximity to Suppliers and Resources –When firms depend on bulky inputs or perishable raw materials, or the inbound transportation costs are high.
Proximity to the Parent Company’s Facilities – better for coordination and communication.
Utilities, Taxes, and Real Estate Costs – for example BMW established a plant in South Carolina in 1990s.
Other Factors – Room for expansion, construction costs, accessibility to multiple modes of transportation, insurance costs, competition, community attitude, local laws and others.
F
ACTORSA
FFECTINGL
OCATIOND
ECISIONSDominant Factors in Services
Proximity to Customers – Proximity to customers is the key to success in service sector.
Transportation Costs and Proximity to Markets – By having a warehouse nearby, a firm can hold inventory closer to the customer for making faster delivery.
Location of Competitors – Critical mass is the situation in which several competing firms cluster together in one location and attract more customers than they can do separately.
Site-Specific Factors – Residential density, site visibility, traffic flow and retail activity.
L
OCATIOND
ECISIONS Long-term decisions
Decisions made infrequently
Decision greatly affects both fixed and variable costs
Once committed to a location, many resource and cost issues are
difficult to change
S
ELECTINGF
ACILITY LOCATION Based on capacity planning, the management may decide to expand onsite, build another facility, or relocate to another site.
Onsite expansion results in synergies and reduction in construction costs and time.
Building a new plant reduces dependence on a single facility and reduction in transportation costs.
Relocation is mostly done by small firms and more than 80% of relocation are made within 20 miles of companies original location.
M
ETHODS Methods of Evaluating Location Alternatives
The Factor-Rating Method
Center-of-Gravity Method
Locational Break-Even Analysis
Transportation Model
F
ACTOR RATING METHOD When a firm evaluates a large number of locations, it may be useful to streamline the process.
The step required in determining the factor rating are:
Identify factors relevant for location rating
Assign weights to these factors
Rate the location on various factors, using a suitable rating scale.
For each factor multiple the factor rating with the factor weight to get the factor score
Add all the factor scores to get the overall location rating.
C
ONSTRUCTION OF A RATING INDEXFactors Weights Rating
(VG 5, G 4, A 3, P 2, VP 1)
Score
Input availability 0.25 3 .75
Technical Know how 0.10 4 .40
Reasonableness of cost 0.05 4 .20
Adequacy of markets 0.15 5 .75
Dependence on firm
strategies 0.25 3 .75
Consistency with govt.
policies
0.20 3 .60
Factor Score for the Location 3.45
Using a hurdle rate of 4 we will reject this location.
C
ONSTRUCTION OF A RATING INDEXUsing factor rating methods, which location is most suitable?
A life insurance company is considering opening an office in two locations, Pune and Mumbai. The factor ratings for the two cities are given:
Factor Weight Pune Mumbai
Customer
convenience .25 70 80
Bank Accessibility .20 40 90
Computer support .20 85 75
Rental Costs .15 90 55
Labour Costs .10 80 50
Taxes .10 90 50
L OAD -D ISTANCE M ETHOD
Load-Distance Method
A mathematical model used to evaluate locations based on proximity factors.
A load may be shipment from suppliers, shipments between plants or to customers, or it may be customers or employees travelling to and from the facility.
Euclidean distance
The straight line distance, or shortest possible path, between two points
Rectilinear distance
The distance between two points with a series of 90-degree turns, as along city blocks
D
ISTANCEWhat is the distance between (20, 10) and (80, 60)?
Euclidean distance:
dAB = (xA – xB)2 + (yA – yB)2 = (20 – 80)2 + (10 – 60)2 = 78.1 Rectilinear distance:
dAB = |xA – xB| + |yA – yB| = |20 – 80| + |10 – 60| = 110
L
OAD-D
ISTANCEM
ETHOD• Calculating a load-distance score
– Varies by industry
– Use the actual distance to calculate ld score
– Use rectangular or Euclidean distances
– Find one acceptable facility location that minimizes the ld score
• Formula for the ld score
ld =
lidii
E
XAMPLEManagement is investigating which location would be best to position its new plant relative to two suppliers (located in Vegas and Toledo) and three market areas (represented by New York, Dayton, and Lima). Management has limited the search for this plant to those five locations. The following information has been collected. Which is best, assuming rectilinear distance?
Location x,y coordinates Trips/year
New York (11,6) 15
Dayton (6,10) 20
Vegas (14,12) 30
Toledo (9,12) 25
Lima (13,8) 40
Location x,y
coordinates Trips/year
New York (11,6) 15
Dayton (6,10) 20
Vegas (14,12) 30
Toledo (9,12) 25
Lima (13,8) 40
15(9) + 20(0) + 30(10) + 25(5) + 40(9) = 920 15(9) + 20(10) + 30(0) + 25(5) + 40(5) = 660 15(8) + 20(5) + 30(5) + 25(0) + 40(8) = 690 15(4) + 20(9) + 30(5) + 25(8) + 40(0) = 590 15(0) + 20(9) + 30(9) + 25(8) + 40(4) = 810 New York =
Dayton = Vegas = Toledo = Lima =
C
ENTER OFG
RAVITY– A good starting point to evaluate locations in the target area using the load-distance model.
– Find x coordinate, x*, by multiplying each point’s x coordinate by its load (lt), summing these products
li xi, and dividing by li
– The center of gravity’s y coordinate y* found the same way
x* =
li xi
li
i i
y* =
li yi
li
i i
E
XAMPLE1
A supplier to the electric utility industry produces power generators;
the transportation costs are high. One market area includes the lower part of the Great Lakes region and the upper portion of the southeastern region. More than 600,000 tons are to be shipped to eight major customer locations as shown below:
Customer Location Tons Shipped x, y Coordinates
Three Rivers, MI 5,000 (7, 13)
Fort Wayne, IN 92,000 (8, 12)
Columbus, OH 70,000 (11, 10)
Ashland, KY 35,000 (11, 7)
Kingsport, TN 9,000 (12, 4)
Akron, OH 227,000 (13, 11)
Wheeling, WV 16,000 (14, 10)
Roanoke, VA 153,000 (15, 5)
E
XAMPLEWhat is the center of gravity for the electric utilities supplier?
Customer
Location Tons
Shipped x, y Coordinates Three
Rivers, MI 5,000 (7, 13) Fort Wayne,
IN 92,000 (8, 12)
Columbus,
OH 70,000 (11, 10) Ashland, KY 35,000 (11, 7) Kingsport,
TN 9,000 (12, 4)
Akron, OH 227,000 (13, 11) Wheeling,
WV 16,000 (14, 10) Roanoke, VA 153,000 (15, 5)
The center of gravity is
calculated as shown below:
x* = =
li xi
li
i i
li =
li i xi = i
5 + 92 + 70 + 35 + 9 + 227 + 16 + 153 = 607
5(7) + 92(8) + 70(11) + 35(11) + 9(12) + 227(13) + 16(14) + 153(15) = 7,504
= 12.4 7,504
607
E
XAMPLEy* = =
li yi
li
i i
li yi =
i
5(13) + 92(12) + 70(10) + 35(7) + 9(4) + 227(11) + 16(10) + 153(5) = 5,572
= 9.2 5,572
607
What is the center of gravity for the electric utilities supplier?
Customer
Location Tons
Shipped x, y Coordinates Three
Rivers, MI 5,000 (7, 13) Fort Wayne,
IN 92,000 (8, 12)
Columbus,
OH 70,000 (11, 10) Ashland, KY 35,000 (11, 7) Kingsport,
TN 9,000 (12, 4)
Akron, OH 227,000 (13, 11) Wheeling,
WV 16,000 (14, 10) Roanoke, VA 153,000 (15, 5)
E
XAMPLEThe resulting load-distance score is
ld = lidi =
i 5(5.4 + 3.8) + 92(4.4 + 2.8) + 70(1.4 + 0.8) + 35(1.4 + 2.2) + 90(0.4 + 5.2) + 227(0.6 + 1.8) + 16(1.6 + 0.8) + 153(2.6 + 4.2)
= 2,662.4
where di = |xi – x*| + |yi – y*|
Using rectilinear
distance, what is the
resulting load–distance score for this location?
Customer
Location Tons
Shipped x, y Coordinates Three
Rivers, MI 5,000 (7, 13) Fort Wayne,
IN 92,000 (8, 12)
Columbus,
OH 70,000 (11, 10) Ashland, KY 35,000 (11, 7) Kingsport,
TN 9,000 (12, 4)
Akron, OH 227,000 (13, 11) Wheeling,
WV 16,000 (14, 10) Roanoke, VA 153,000 (15, 5)
E
XAMPLE2
A firm wishes to find a central location for its service. Business forecasts indicate travel from the central location to New York City on 20 occasions per year. Similarly, there will be 15 trips to Boston, and 30 trips to New Orleans. The x, y-coordinates are (11.0, 8.5) for New York, (12.0, 9.5) for Boston, and (4.0, 1.5) for New Orleans. What is the center of gravity of the three demand points?
x* = =
li xi
li
i i
y* = =
li yi
li
i i
[(20 11) + (15 12) + (30 4)]
(20 + 15 + 30) = 8.0 [(20 8.5) + (15 9.5) + (30 1.5)]
(20 + 15 + 30) = 5.5
L
OCATIONALB
REAK-E
VENA
NALYSIS Method of cost-volume analysis used for industrial locations
Three steps in the method
1. Determine fixed and variable costs for each location
2. Plot the cost for each location
3. Select location with lowest total cost for expected production volume
L
OCATIONALB
REAK-E
VENA
NALYSISE
XAMPLEThree locations:
Akron $30,000 $75 $180,000
Bowling Green $60,000 $45 $150,000
Chicago $110,000 $25 $160,000
Fixed Variable Total
City Cost Cost Cost
Total Cost = Fixed Cost + (Variable Cost x Volume) Selling price = $120
Expected volume = 2,000 units
L
OCATIONALB
REAK-E
VENA
NALYSISE
XAMPLE$180,000 – –
$160,000 – –
$150,000 –
$130,000 – –
$110,000 – – – –
$80,000 –
$60,000 – – – –
$30,000 –
$10,000 – – –
Annual cost
| | | | | | |
0 500 1,000 1,500 2,000 2,500 3,000 Volume
Akron lowest cost
Bowling Green lowest cost
Chicago lowest cost
E
XAMPLE2
An operations manager narrowed the search for a new facility location to four communities. The annual fixed costs and the variable costs are as follows:
Using break-even analysis, calculate the break-even quantities over the relevant ranges. If the expected demand is 20,000 units per year, what is the best location?
Community Fixed Costs per
Year Variable Costs per Unit
A $150,000 $62
B $300,000 $38
C $500,000 $24
D $600,000 $30
E
XAMPLE2
$62(20,000) = $1,240,000 $1,390,000
Commun
ity Fixed
Costs
Variable Costs (Cost per Unit)(No. of
Units)
Total Cost (Fixed + Variable)
A $150,000 B $300,000 C $500,000 D $600,000
$38(20,000) = $760,000 $1,060,000
$24(20,000) = $480,000 $980,000
$30(20,000) = $600,000 $1,200,000
A best B best C best
E
XAMPLE2
The figure shows the graph of the total cost lines.
| | | | | | | | | | | |
0 2 4 6 8 10 12 14 16 18 20 22 1,600 –
1,400 – 1,200 – 1,000 – 800 – 600 – 400 – 200 – –
Annual cost (thousands of dollars)
Q (thousands of units)
A
B C D
6.25 14.3
Break-even point
Break-even point
(20, 980) (20, 1,390)
(20, 1,200) (20, 1,060)
• A is best for low volumes
• B for intermediate volumes
• C for high volumes.
• We should no longer consider community D, because both its fixed and its variable costs are higher than community C’s.
Figure 13.3
E
XAMPLE2
(A) (B)
$150,000 + $62Q = $300,000 + $38Q Q = 6,250 units
The break-even quantity between B and C lies at the end of the range over which B is best and the beginning of the final range where C is best.
(B) (C)
$300,000 + $38Q = $500,000 + $24Q Q = 14,286 units
The break-even quantity between A and B lies at the end of the first range, where A is best, and the beginning of the second range, where B is best.
E
XAMPLE2
No other break-even quantities are needed.
The break-even point between A and C lies above the shaded area, which does not mark either the start or the end of one of the three relevant ranges.
T
RANSPORTATIONM
ODEL Finds amount to be shipped from several points of supply to several points of demand
Solution will minimize total production and shipping costs
A special class of linear
programming problems
G
EOGRAPHICI
NFORMATIONS
YSTEMS(GIS)
Important tool to help in location analysis
Enables more complex demographic analysis
Available data bases include
Detailed census data
Detailed maps
Utilities
Geographic features
Locations of major services
G
EOGRAPHICI
NFORMATIONS
YSTEMS(GIS)
L AYOUT P LANNING ?
Layout planning is
determining the best physical
arrangement of resources
within a facility
W
HY IS LAYOUT PLANNING IMPORTANT?
Eliminates unnecessary costs for space and materials handling
Reduces work-in-process inventory
Produces goods and services faster
Reduces distances that workers must travel in the workplace
Improves communication and morale
Increases retail sales
Improves brand image
T
YPES OFL
AYOUTS Process layouts: Group similar resources together
Product layouts: Designed to produce a specific product, or a small number of products efficiently
Hybrid layouts: Combine aspects of both process and product layouts
Fixed-Position layouts: Product is too large to move
Examples: building construction, shipyard
Resources must be brought to where they are needed