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Managerial Economics :
Production & Costs
By
Stephen Ong
Visiting Fellow, Birmingham City University
Visiting Professor, College of
Management, Shenzhen University
May 2013
Agenda
1. Production
2. Cost of production
3. The Long Run
Learning Objectives
To discuss the production function and its
various forms
To provide examples of types of inputs into a
production function for a manufacturing or
service company
To understand the law of diminishing returns
To discuss the cost function and distinguish
between economic cost and accounting cost
To explain how the concept of relevant cost is
used
To understand total, variable, average and
fixed cost
To distinguish between short-run and long-
run cost
To provide reasons for the existence of
economies of scale
1
Production
Overview
The production function
Short-run analysis of average
and marginal product
Long-run production function
Importance of production
function in managerial
decision making
Production Function
A production
function describes
the relationship
between a flow of
inputs and the
resulting flow of
outputs in a
production process
during a given
period of time.
Q = f(L, K, M, …)
where
Q = quantity of output
L = quantity of labour
input
K = quantity of capital
input
M = quantity of
materials input
Production function
 Production function: defines the
relationship between inputs and the
maximum amount that can be produced
within a given period of time with a given
level of technology
Q=f(X1, X2, ..., Xk)
Q = level of output
X1, X2, ..., Xk = inputs used in
production
Production function
Key assumptions
given ‘state of the art’
production technology
whatever input or input
combinations are included in a
particular function, the output
resulting from their utilization is
at the maximum level
Production function
For simplicity we will often
consider a production function of
two inputs:
Q=f(X, Y)
Q = output
X = labour
Y = capital
Production function
 Short-run production function shows
the maximum quantity of output that
can be produced by a set of inputs,
assuming the amount of at least one
of the inputs used remains
unchanged
 Long-run production function shows
the maximum quantity of output that
can be produced by a set of inputs,
assuming the firm is free to vary
the amount of all the inputs being
used
Short-run analysis of Total,
Average, and Marginal product
 Alternative terms in reference to inputs
‘inputs’
‘factors’
‘factors of production’
‘resources’
 Alternative terms in reference to outputs
‘output’
‘quantity’ (Q)
‘total product’ (TP)
‘product’
Fixed and Variable Inputs
A fixed input
is an input
whose
quantity a
manager
cannot change
during a given
period of time.
A variable
input is an
input whose
quantity a
manager can
change during
a given period
of time.
Short-Run vs. Long-Run
The short-run is a period
of time during which at
least one input is fixed,
while the long-run is a
period of time during
which all inputs are
variable.
Total Product
The total
quantity of
output produced
with given
quantities of
fixed and
variable inputs.
TP or Q = f(L, K ),
where
TP or Q = total product
or total quantity
produced
L = quantity of labour
input (variable)
K = quantity of capital
(fixed)
Average Product
The amount
of output per
unit of
variable
input.
APL = TP÷L or Q÷L,
where
APL = average
product of labour
Marginal Product
The additional
output
produced with
an additional
unit of variable
input.
MPL = ΔTP÷ΔL
or ΔQ÷ΔL
where
MPL = marginal
product of labour
Total Product Curve
Average and Marginal
Product Curves
Short-run analysis of Total,
Average, and Marginal product
Marginal product (MP) = change in
output (Total Product) resulting from
a unit change in a variable input
Average product (AP) = Total Product
per unit of input used
X
Q
MPX
X
Q
APX
Short-run analysis of Total,
Average, and Marginal product
if MP > AP then
AP is rising
if MP < AP then
AP is falling
MP=AP when AP
is maximized
Short-run analysis of Total,
Average, and Marginal product
Law of diminishing returns:
as additional units of a variable input
are combined with a fixed input, after
some point the additional output (i.e.,
marginal product) starts to diminish
nothing says when diminishing
returns will start to take effect
all inputs added to the
production process have the
same productivity
Law of Diminishing Marginal
Returns
The phenomenon illustrated by
that region of the marginal
product curve where the curve
is positive, but decreasing, so
that total product is increasing
at a decreasing rate.
Do increases in health care expenditures
reflect increases in output or do they
reflect inefficiencies in the production
process? The United States is relatively
wealthy, and it is natural for consumer
preferences to shift toward more health
care as incomes grow. However, it may
be that the production of health care in
the United States is inefficient.
A PRODUCTION FUNCTION FOR HEALTH CARE
A PRODUCTION FUNCTION
FOR HEALTH CARE
Additional expenditures on health
care (inputs) increase life expectancy
(output) along the production
frontier. Points A, B, and C represent
points at which inputs are efficiently
utilized, although there are
diminishing returns when moving
from B to C. Point D is a point of input
inefficiency.
MALTHUS AND THE FOOD CRISIS
TABLE 2
INDEX OF WORLD
FOOD PRODUCTION
PER CAPITA
YEAR INDEX
1948-
52
100
1961 115
1965 119
1970 124
1975 125
1980 127
1985 134
1990 135
1995 135
2000 144
2005 151
2009 155
The law of diminishing marginal
returns was central to the thinking of
political economist Thomas Malthus
(1766–1834). Malthus predicted that
as both the marginal and average
productivity of labor fell and there
were more mouths to feed, mass
hunger and starvation would result.
Malthus was wrong (although he was
right about the diminishing marginal
returns to labour).
Over the past century,technological
improvements have dramatically
altered food production in most
countries (including developing
countries, such as India). As a result,
the average product of labour and total
food output have increased.
Hunger remains a severe problem in
some areas, in part because of the low
productivity of labour there.
Cereal yields have increased. The average world
price of food increased temporarily in the early
1970s but has declined since.
MALTHUS AND THE FOOD CRISIS
CEREAL YIELDS AND THE WORLD PRICE OF FOOD
Short-run analysis of Total,
Average, and Marginal product
The Three Stages of Production in
the short run:
Stage I: from zero units of the
variable input to where AP is
maximized (where MP=AP)
Stage II: from the maximum AP
to where MP=0
Stage III: from where MP=0 on
Short-run analysis of Total,
Average, and Marginal product
In the short run, rational firms should be
operating only in Stage II
 Q: Why not Stage III?  firm uses more
variable inputs to produce less output
 Q: Why not Stage I?  underutilizing
fixed capacity, so can increase output per
unit by increasing the amount of the variable
input
Short-run analysis of Total,
Average, and Marginal product
What level of input usage within Stage
II is best for the firm?
 answer depends upon:
• how many units of output the firm can
• sell the price of the product
• the monetary costs of employing the
variable input
Short-run analysis of Total,
Average, and Marginal product
 Total revenue product (TRP) = market
value of the firm’s output, computed
by multiplying the total product by
the market price
TRP = Q x P
Short-run analysis of Total,
Average, and Marginal product
Marginal revenue product (MRP) =
change in the firm’s TRP resulting from a
unit change in the number of inputs used
MRP = MP x P =
X
TRP
Short-run analysis of Total,
Average, and Marginal product
 Total labour cost (TLC) = total cost of using
the variable input labour, computed by
multiplying the wage rate by the number of
variable inputs employed
TLC = w x X
 Marginal labour cost (MLC) = change in total
labour cost resulting from a unit change in
the number of variable inputs used
MLC = w
Short-run analysis of Total,
Average, and Marginal product
Summary of relationship between
demand for output and demand for a
single input:
A profit-maximizing firm operating in
perfectly competitive output and input
markets will be using the optimal amount of
an input at the point at which the monetary
value of the input’s marginal product is
equal to the additional cost of using that
input
 MRP = MLC
Short-run analysis of Total,
Average, and Marginal product
Multiple variable inputs
Consider the relationship between
the ratio of the marginal product of
one input and its cost to the ratio of
the marginal product of the other
input(s) and their cost
k
k
w
MP
w
MP
w
MP
2
2
1
1
Will the standard of living in the United States, Europe, and
Japan continue to improve, or will these economies barely keep
future generations from being worse off than they are today?
Because the real incomes of consumers in these countries
increase only as fast as productivity does, the answer depends
on the labour productivity of workers.
LABOUR PRODUCTIVITY AND THE STANDARD OF LIVING
TABLE 3
LABOUR PRODUCTIVITY IN DEVELOPED
COUNTRIES
UNITED
STATES JAPAN FRANCE GERMANY
UNITED
KINGDOM
GDP PER HOUR WORKED (IN 2009 US
DOLLARS)
$56.90 $38.20 $54.70 $53.10 $45.80
Years Annual Rate of Growth of Labor Productivity (%)
1960-1973 2.29 7.86 4.70 3.98 2.84
1974-1982 0.22 2.29 1.73 2.28 1.53
1983-1991 1.54 2.64 1.50 2.07 1.57
1992-2000 1.94 1.08 1.40 1.64 2.22
2001-2009 1.90 1.50 0.90 0.80 1.30
Long-run production function
 In the long run, a firm has enough time to
change the amount of all its inputs
 The long run production process is
described by the concept of returns to scale
Returns to scale = the resulting
increase in total output as all
inputs increase
Long-run production function
If all inputs into the production process
are doubled, three things can happen:
output can more than double
 ‘increasing returns to scale’ (IRTS)
output can exactly double
 ‘constant returns to scale’ (CRTS)
output can less than double
 ‘decreasing returns to scale’ (DRTS)
Long-run production function
One way to measure returns to scale
is to use a coefficient of output
elasticity:
if EQ > 1 then IRTS
if EQ = 1 then CRTS
if EQ < 1 then DRTS
inputsallinchangePercentage
QinchangePercentage
QE
Long-run production function
Returns to scale can also be
described using the following
equation
hQ = f(kX, kY)
if h > k then IRTS
if h = k then CRTS
if h < k then DRTS
Long-run production function
Graphically, the returns to scale
concept can be illustrated using
the following graphs
Q
X,Y
IRTS
Q
X,Y
CRTS
Q
X,Y
DRTS
Food grown on large farms in the United
States is usually produced with a
capital-intensive technology.
However, food can also be produced
using very little capital (a hoe) and a lot
of labour (several people with the
patience and stamina to work the soil).
Most farms in the United States and
Canada, where labor is relatively
expensive, operate in the range of
production in which the MRTS is
relatively high (with a high capital-to-
labour ratio), whereas farms in
developing countries, in which labour is
cheap, operate with a lower MRTS (and
a lower capital-to-labour ratio).
A PRODUCTION FUNCTION FOR WHEAT
A PRODUCTION FUNCTION FOR WHEAT
ISOQUANT DESCRIBING THE
PRODUCTION OF WHEAT
A wheat output of 13,800
bushels per year can be
produced with different
combinations of labour and
capital.
The more capital-intensive
production process is shown
as point A,
the more labour- intensive
process as point B.
The marginal rate of technical
substitution between A and B
is 10/260 = 0.04.
Estimation of production
functions
 Examples of production functions
 short run: one fixed factor, one variable factor
Q = f(L)K
 cubic: increasing marginal returns followed by
decreasing marginal returns
Q = a + bL + cL2 – dL3
 quadratic: diminishing marginal returns but no
Stage I
Q = a + bL - cL2
Estimation of production
functions
Examples of production functions
power function: exponential for one input
Q = aLb
if b > 1, MP increasing
if b = 1, MP constant
if b < 1, MP decreasing
Advantage: can be transformed into a linear
(regression) equation when expressed in log
terms
Estimation of production functions
 Examples of production functions
Cobb-Douglas function:
exponential for two inputs
Q = aLbKc
if b + c > 1, IRTS
if b + c = 1, CRTS
if b + c < 1, DRTS
Estimation of production functions
Statistical estimation of production
functions
inputs should be measured as ‘flow’
rather than ‘stock’ variables, which is
not always possible
usually, the most important input is
labour
most difficult input variable is capital
must choose between time series and
cross-sectional analysis
Estimation of production functions
Aggregate production functions: whole
industries or an economy
 gathering data for aggregate
functions can be difficult:
 for an economy … GDP could be
used
 for an industry … data from
Census of Manufactures or
production index from Federal
Reserve Board
 for labour … data from Bureau
of Labour Statistics
The Made-in-China Effect
Importance of production
functions in managerial
decision making
Capacity planning: planning the amount
of fixed inputs that will be used along
with the variable inputs
Good capacity planning requires:
accurate forecasts of demand
effective communication between the
production and marketing functions
Importance of production
functions in managerial
decision making
Example: cell phones
 Asian consumers want new phone
every 6 months
 demand for 3G products
 Nokia, Samsung, SonyEricsson
must be speedy and flexible
Importance of production
functions in managerial
decision making
Example: Zara
 Spanish fashion retailer
 factories located close to stores
 quick response time of 2-4 weeks
Importance of production
functions in managerial
decision making
Application: call centers
 service activity
 production function is
Q = f(X,Y)
where Q = number of calls
X = variable inputs
Y = fixed input
Importance of production
functions in managerial decision
making
Application: China’s
workers
 Is China
running out of
workers?
 Effect of
industrial boom
 eg bicycle
factory in
Guangdong
Province
2
Cost of Production
Overview
Definition and use of cost
Relating production and cost
Short run and long run cost
Economies of scope and scale
Supply chain management
Ways companies have cut
costs to remain competitive
Cost Function
A mathematical or
graphic expression that
shows the relationship
between the cost of
production and the level
of output, all other
factors held constant.
Opportunity Cost
The economic measure of
cost that reflects the use of
resources in one
activity, such as a production
process by one firm, in terms
of the opportunities forgone
in undertaking the next best
alternative activity.
Explicit and Implicit Costs
A cost is explicit if
it is reflected in a
payment to another
individual, such as
a wage paid to a
worker, that is
recorded in a firm’s
book keeping or
accounting system.
A cost that
represents the
value of using a
resource that is not
explicitly paid out
and is often difficult
to measure because
it is typically not
recorded in a firm’s
accounting system.
Profit
The difference
between the total
revenue a firm receives
from the sale of its
output and the total
cost of producing that
output.
Accounting vs.
Economic Profit
 Accounting profit is
the difference
between total
revenue and total
cost where cost
includes only the
explicit costs of
production.
 Economic profit is
the difference
between total
revenue and total
cost where cost
includes both the
explicit and any
implicit costs of
production.
Short Run Cost Function
A cost function for a
short-run production
process in which there is
at least one fixed input of
production.
Fixed vs. Variable Costs
Fixed cost is the
total cost of using
the fixed
input, which
remains constant
regardless of the
amount of output
produced.
Variable cost
is the total
cost of using
the variable
input, which
increases as
more output is
produced.
Short Run Costs
COST FUNCTION DEFINITION
Total fixed cost TFC = (PK) x (K)
Total variable cost TVC = (PL) x (L)
Total cost TC = TFC + TVC
Average fixed cost AFC = TFC ÷ Q
Average variable
cost
AVC = TVC ÷ Q
Average total cost ATC = TC ÷ Q = AFC +
AVC
Marginal cost MC = ΔTC ÷ ΔQ = ΔTVC
÷ ΔQ
Total Cost Curves
Average and Marginal Cost
Curves
Relationship Between Short
Run Production and Cost
AC
MC
Q1 Q2
Importance of cost
in managerial decisions
Ways to contain or cut costs popular
during the past decade -
most common: reduce number of
people on the payroll
outsourcing components of the
business
merge, consolidate, then reduce
headcount
Definition and use of
cost in economic analysis
 Relevant cost: a cost that is affected by a
management decision
 Historical cost: cost incurred at the time of
procurement
 Opportunity cost: amount or subjective value
that is forgone in choosing one activity over
the next best alternative
 Incremental cost: varies with the range of
options available in the decision
 Sunk cost: does not vary in accordance with
decision alternatives
Relationship between
production and cost
Cost function is simply the
production function expressed
in monetary rather than
physical units
We assume the firm is a ‘price
taker’ in the input market
Relationship between
production and cost
 Total variable cost (TVC) = the cost
associated with the variable input,
found by multiplying the number of
units by the unit price
 Marginal cost (MC) = the rate of
change in total variable cost
The law of diminishing returns implies that MC
will eventually increase
MP
W
Q
TVC
MC
Relationship between
production and cost
Plotting TP and
TVC illustrates
that they are
mirror images of
each other
When TP
increases at an
increasing rate,
TVC increases at
a decreasing rate
Short-run cost function
For simplicity use the following
assumptions:
 the firm employs two inputs, labour and capital
 the firm operates in a short-run production period
where labour is variable, capital is fixed
 the firm produces a single product
 the firm employs a fixed level of technology
 the firm operates at every level of output in the
most efficient way
 the firm operates in perfectly competitive input
markets and must pay for its inputs at a given
market rate (it is a ‘price taker’)
 the short-run production function is affected by the
law of diminishing returns
Short-run cost function
Standard variables in the short-
run cost function:
Quantity (Q) is the amount of output
that a firm can produce in the short
run
Total fixed cost (TFC) is the total cost
of using the fixed input, capital (K)
Short-run cost function
Standard variables in the short-run
cost function:
Total variable cost (TVC) is the
total cost of using the variable
input, labour (L)
Total cost (TC) is the total cost of
using all the firm’s inputs,
TC = TFC + TVC
Short-run cost function
Standard variables in the short-run
cost function:
Average fixed cost (AFC) is the
average per-unit cost of using the
fixed input K
AFC = TFC/Q
Average variable cost (AVC) is the
average per-unit cost of using the
variable input L
AVC = TVC/Q
Short-run cost function
Standard variables in the short-run
cost function:
Average total cost (AC) is the average
per-unit cost of all the firm’s inputs
AC = AFC + AVC = TC/Q
Marginal cost (MC) is the change in a
firm’s total cost (or total variable
cost) resulting from a unit change in
output
MC = DTC/DQ = DTVC/DQ
Short-run cost function
Graphical example of the cost variables
Short-run cost function
Important observations
AFC declines steadily
when MC = AVC, AVC is at a
minimum
when MC < AVC, AVC is falling
when MC > AVC, AVC is rising
The same three rules apply for
average cost (AC) as for AVC
Short-run cost function
A reduction in the firm’s fixed cost
would cause the average cost line to
shift downward
A reduction in the firm’s variable cost
would cause all three cost lines (AC,
AVC, MC) to shift
Short-run cost function
Alternative specifications of the
Total Cost function (relating
total cost and output)
cubic relationship
as output increases, total
cost first increases at a
decreasing rate, then
increases at an increasing
rate
Short-run cost function
Alternative specifications of the
Total Cost function (relating total
cost and output)
quadratic relationship
as output increases, total cost
increases at an increasing rate
linear relationship
as output increases, total cost
increases at a constant rate
Innovations have reduced costs and greatly increased carpet
production. Innovation along with competition have worked
together to reduce real carpet prices.
Carpet production is capital intensive. Over time, the major
carpet manufacturers have increased the scale of their
operations by putting larger and more efficient tufting machines
into larger plants. At the same time, the use of labour in these
plants has also increased significantly. The result?
Proportional increases in inputs have resulted in a more than
proportional increase in output for these larger plants.
RETURNS TO SCALE IN THE CARPET INDUSTRY
TABLE 5 THE U.S. CARPET INDUSTRY
CARPET SALES, 2005 (MILLIONS OF DOLLARS PER YEAR)
1. Shaw 4346
2. Mohawk 3779
3. Beaulieu 1115
4. Interface 421
5. Royalty 298
It is important to understand the characteristics of production costs
and to be able to identify which costs are fixed, which are variable,
and which are sunk.
Good examples include the personal computer industry (where most
costs are variable), the computer software industry (where most costs
are sunk), and the pizzeria business (where most costs are fixed).
Because computers are very similar, competition is intense, and
profitability depends on the ability to keep costs down. Most
important are the cost of components and labour.
A software firm will spend a large amount of money to develop a new
application. The company can recoup its investment by selling as
many copies of the program as possible.
For the pizzeria, sunk costs are fairly low because equipment can be
resold if the pizzeria goes out of business. Variable costs are low—
mainly the ingredients for pizza and perhaps wages for a workers to
produce and deliver pizzas.
SUNK, FIXED, AND VARIABL E COSTS:
COMPUTERS, SOFTWARE, AND PIZZAS
The production of aluminum begins with the mining of bauxite. The process used to
separate the oxygen atoms from aluminum oxide molecules, called smelting, is the
most costly step in producing aluminum. The expenditure on a smelting
plant, although substantial, is a sunk cost and can be ignored. Fixed costs are
relatively small and can also be ignored.
THE SHORT-RUN COST OF ALUMINUM SMELTING
TABLE 7 PRODUCTION COSTS FOR ALUMINUM SMELTING
($/TON) (BASED ON AN OUTPUT OF 600
TONS/DAY)
PER-TON COSTS THAT ARE
CONSTANT FOR ALL OUTPUT LEVELS
OUTPUT 600
TONS/DAY
OUTPUT 600
TONS/DAY
Electricity $316 $316
Alumina 369 369
Other raw materials 125 125
Plant power and fuel 10 10
Subtotal $820 $820
PER-TON COSTS THAT INCREASE WHEN
OUTPUT EXCEENDS 600 TONS/DAY
Labor $150 $225
Maintenance 120 180
Freight 50 75
Subtotal $320 $480
Total per-ton production costs $1140 $1300
3
The Long Run
Long Run Production Function
A production
function showing
the relationship
between a flow of
inputs and the
resulting flow of
output, where all
inputs are
variable.
Q = f(L, K)
where
Q = quantity of output
L = quantity of labour
input (variable)
K = quantity of capital
input (variable)
Input Substitution
A manager’s choice of inputs
will be influenced by:
The technology of the
production process
The prices of the inputs of
production
The set of incentives facing the
given producer
Technology of the Production
Process
Capital-intensive
method of
production is a
process that uses
large amounts of
capital equipment
relative to the
other inputs to
produce the firm’s
output.
Labour-intensive
method of
production is a
process that uses
large amounts of
labour relative to
the other inputs
to produce the
firm’s output.
The Incentives Facing a Given
Producer
The Role of
Competitive
Environments
Labour Issues
Nonprofit
Organizations
Political and
Legislative
Influences
Long Run Average Cost
Function
This is defined as the
minimum average or unit
cost of producing any level of
output when all inputs are
variable.
Long-run cost function
 In the long run, all inputs to a firm’s
production function may be changed
 because there are no fixed inputs, there
are no fixed costs
 the firm’s long run marginal cost
pertains to returns to scale
 at first increasing returns to scale, then
as firms mature they achieve constant
returns, then ultimately decreasing returns
to scale
Long Run Average Cost
Curve
Q
$
SRAC1
SRAC2
SRAC3
SRAC4
LRAC
Long-run cost function
In long run, the firm can
choose any level of
capacity
Once it commits to a
level of capacity, at least
one of the inputs must
be fixed. This then
becomes a short-run
problem
The LRAC curve is an
envelope of SRAC
curves, and outlines the
lowest per-unit costs the
firm will incur over a
range of output
Long-run cost function
When a firm experiences
increasing returns to scale:
a proportional increase in all inputs
increases output by a greater
proportion
as output increases by some
percentage, total cost of production
increases by some lesser percentage
Long-run cost function
Economies of scale: situation
where a firm’s long-run average
cost (LRAC) declines as output
increases
Diseconomies of scale: situation
where a firm’s LRAC increases as
output increases
In general, the LRAC curve is u-
shaped.
Economies and Diseconomies of
Scale
Economies of
scale exist when the
firm can achieve
lower unit costs of
production by
adopting a larger
scale of production,
represented by the
downward sloping
portion of along-run
average cost curve.
Diseconomies of
scale exist when the
firm incurs higher
unit costs of
production by
adopting a larger
scale of production,
represented by the
upward sloping
portion of a long-run
average cost curve.
Economies and Diseconomies of
Scale - Graphical
SATC1
SATC2
SATC3
LRAC
$
QQ1
Economies of scale
Declining LRAC
Diseconomies of scale
Increasing LRAC
Long-run cost function
Reasons for long-run economies
specialization of labour and capital
prices of inputs may fall with
volume discounts in firm’s
purchasing
use of capital equipment with better
price-performance ratios
larger firms may be able to raise
funds in capital markets at a lower
cost
larger firms may be able to spread
out promotional costs
Factors Creating Economies of Scale
Specialization and division of labour
Technological factors
The use of automation devices
Quantity discounts
The spreading of advertising costs
Financial factors
Long-run cost function
Reasons for diseconomies of scale
scale of production becomes so large
that it affects the total market demand
for inputs, so input prices rise
transportation costs tend to rise as
production grows, due to handling
expenses, insurance, security, and
inventory costs
Factors Creating Diseconomies
of Scale
The inefficiencies of managing
large-scale operations.
The increased transportation
costs that result from
concentrating production in a
small number of very large
plants.
Learning By Doing
The drop in unit costs as
total cumulative production
increases because workers
become more efficient as
they repeat their assigned
tasks.
Learning curve
Learning curve: line showing
the relationship between labour
cost and additional units of
output
• downward slope indicates
additional cost per unit declines
as the level of output increases
because workers improve with
practice
Learning curve
 Learning curve:
• measured in terms of percentage decrease in
additional labour cost as output doubles
Yx = Kxn
Yx = units of factor or cost to
produce the xth unit
K = factor units or cost to produce
the Kth (usually first) unit
x = product unit (the xth unit)
n = log S/log 2
S = slope parameter
Minimum Efficient Scale
That scale of
operation at which
the long-run
average cost curve
stops declining or
at which
economies of
scale are
exhausted.
$
Q
LRAC
MES
Methods for Determining MES
Surveys of expert opinion
(engineering estimates)
Statistical cost estimation
The survivor approach
Surveying Expert Opinion
Surveying expert opinion is a time-
consuming process that relies on
the judgments of those individuals
closely connected with different
industries.
Reporting biases may obviously
occur with this approach.
Statistical Estimation
Researchers attempt to estimate the
relationship between unit costs and
output levels of firms of varying sizes
while holding constant all other
factors influencing cost in addition to
size.
This is usually done with multiple
regression analysis.
Survivor Approach
The size distribution of firms is
examined to determine the scale of
operation at which most firms in the
industry are concentrated.
The underlying assumption is that
this scale of operation is most
efficient and has the lowest costs
because this is where most firms
have survived.
Economies of scope
Economies of scope: reduction
of a firm’s unit cost by
producing two or more goods or
services jointly rather than
separately
Closely related to economies of
scale
Supply chain management
 Supply chain management (SCM): efforts by
a firm to improve efficiencies through each
link of a firm’s supply chain from supplier to
customer
• transaction costs are incurred by using
resources outside the firm
• coordination costs arise because of
uncertainty and complexity of tasks
• information costs arise to properly
coordinate activities between the firm and
its suppliers
Supply chain management
Ways to develop better supplier
relationships
strategic alliance: firm and outside
supplier join together in some sharing
of resources
competitive tension: firm uses two or
more suppliers, thereby helping the
firm keep its purchase prices under
control
Ways companies cut
costs to remain competitive
 the strategic use of cost
 reduction in cost of materials
 using information technology to reduce costs
 reduction of process costs
 relocation to lower-wage countries or
regions
 mergers, consolidation, and subsequent
downsizing
 layoffs and plant closings
Global application
Example: manufacturing
chemicals in China
 labour content relatively low
 high use of equipment and
raw materials
 non cost reasons for
outsourcing
Conclusion
“The British supermarkets are leading
a race to the bottom. Jobs are being
lost and producers are having to pay
less attention to social and
environmental agreements…”
Alistair Smith, Banana Link
Casestudy : FORD and the World
Automobile Industry (2009)
1. Read and prepare the
Casestudy on FORD
for discussion and
presentation next
week.
2. Identify and evaluate
the challenges facing
FORD’s global
business by
conducting External
Environment analysis
(PESTEL);and
Industry (5+1 Forces)
analysis.
Core Reading
• Keat, Paul G. and Young, Philip KY (2009)
Managerial Economics, 6th edition, Pearson
• Samuelson, William F. and Marks, Stephen
G.(2010) Managerial Economics, 6th edition, John
Wiley
• Pindyck, Robert S. and Rubinfeld, Daniel L.(2013)
Microeconomics, 8th edition, Pearson
• Samuelson, P.A. and Nordhaus, W. D.
(2010)“Economics” Irwin/McGraw-Hill, 19th
Edition
• Porter, Michael E. (2004)“Competitive Strategy –
Techniques for Analyzing Industries and Competitors”
Free Press
Questions?

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Mba1014 production and costs 110513

  • 1. Go Global ! Managerial Economics : Production & Costs By Stephen Ong Visiting Fellow, Birmingham City University Visiting Professor, College of Management, Shenzhen University May 2013
  • 2. Agenda 1. Production 2. Cost of production 3. The Long Run
  • 3. Learning Objectives To discuss the production function and its various forms To provide examples of types of inputs into a production function for a manufacturing or service company To understand the law of diminishing returns To discuss the cost function and distinguish between economic cost and accounting cost To explain how the concept of relevant cost is used To understand total, variable, average and fixed cost To distinguish between short-run and long- run cost To provide reasons for the existence of economies of scale
  • 5. Overview The production function Short-run analysis of average and marginal product Long-run production function Importance of production function in managerial decision making
  • 6. Production Function A production function describes the relationship between a flow of inputs and the resulting flow of outputs in a production process during a given period of time. Q = f(L, K, M, …) where Q = quantity of output L = quantity of labour input K = quantity of capital input M = quantity of materials input
  • 7. Production function  Production function: defines the relationship between inputs and the maximum amount that can be produced within a given period of time with a given level of technology Q=f(X1, X2, ..., Xk) Q = level of output X1, X2, ..., Xk = inputs used in production
  • 8. Production function Key assumptions given ‘state of the art’ production technology whatever input or input combinations are included in a particular function, the output resulting from their utilization is at the maximum level
  • 9. Production function For simplicity we will often consider a production function of two inputs: Q=f(X, Y) Q = output X = labour Y = capital
  • 10. Production function  Short-run production function shows the maximum quantity of output that can be produced by a set of inputs, assuming the amount of at least one of the inputs used remains unchanged  Long-run production function shows the maximum quantity of output that can be produced by a set of inputs, assuming the firm is free to vary the amount of all the inputs being used
  • 11. Short-run analysis of Total, Average, and Marginal product  Alternative terms in reference to inputs ‘inputs’ ‘factors’ ‘factors of production’ ‘resources’  Alternative terms in reference to outputs ‘output’ ‘quantity’ (Q) ‘total product’ (TP) ‘product’
  • 12. Fixed and Variable Inputs A fixed input is an input whose quantity a manager cannot change during a given period of time. A variable input is an input whose quantity a manager can change during a given period of time.
  • 13. Short-Run vs. Long-Run The short-run is a period of time during which at least one input is fixed, while the long-run is a period of time during which all inputs are variable.
  • 14. Total Product The total quantity of output produced with given quantities of fixed and variable inputs. TP or Q = f(L, K ), where TP or Q = total product or total quantity produced L = quantity of labour input (variable) K = quantity of capital (fixed)
  • 15. Average Product The amount of output per unit of variable input. APL = TP÷L or Q÷L, where APL = average product of labour
  • 16. Marginal Product The additional output produced with an additional unit of variable input. MPL = ΔTP÷ΔL or ΔQ÷ΔL where MPL = marginal product of labour
  • 19. Short-run analysis of Total, Average, and Marginal product Marginal product (MP) = change in output (Total Product) resulting from a unit change in a variable input Average product (AP) = Total Product per unit of input used X Q MPX X Q APX
  • 20. Short-run analysis of Total, Average, and Marginal product if MP > AP then AP is rising if MP < AP then AP is falling MP=AP when AP is maximized
  • 21. Short-run analysis of Total, Average, and Marginal product Law of diminishing returns: as additional units of a variable input are combined with a fixed input, after some point the additional output (i.e., marginal product) starts to diminish nothing says when diminishing returns will start to take effect all inputs added to the production process have the same productivity
  • 22. Law of Diminishing Marginal Returns The phenomenon illustrated by that region of the marginal product curve where the curve is positive, but decreasing, so that total product is increasing at a decreasing rate.
  • 23. Do increases in health care expenditures reflect increases in output or do they reflect inefficiencies in the production process? The United States is relatively wealthy, and it is natural for consumer preferences to shift toward more health care as incomes grow. However, it may be that the production of health care in the United States is inefficient. A PRODUCTION FUNCTION FOR HEALTH CARE A PRODUCTION FUNCTION FOR HEALTH CARE Additional expenditures on health care (inputs) increase life expectancy (output) along the production frontier. Points A, B, and C represent points at which inputs are efficiently utilized, although there are diminishing returns when moving from B to C. Point D is a point of input inefficiency.
  • 24. MALTHUS AND THE FOOD CRISIS TABLE 2 INDEX OF WORLD FOOD PRODUCTION PER CAPITA YEAR INDEX 1948- 52 100 1961 115 1965 119 1970 124 1975 125 1980 127 1985 134 1990 135 1995 135 2000 144 2005 151 2009 155 The law of diminishing marginal returns was central to the thinking of political economist Thomas Malthus (1766–1834). Malthus predicted that as both the marginal and average productivity of labor fell and there were more mouths to feed, mass hunger and starvation would result. Malthus was wrong (although he was right about the diminishing marginal returns to labour). Over the past century,technological improvements have dramatically altered food production in most countries (including developing countries, such as India). As a result, the average product of labour and total food output have increased. Hunger remains a severe problem in some areas, in part because of the low productivity of labour there.
  • 25. Cereal yields have increased. The average world price of food increased temporarily in the early 1970s but has declined since. MALTHUS AND THE FOOD CRISIS CEREAL YIELDS AND THE WORLD PRICE OF FOOD
  • 26. Short-run analysis of Total, Average, and Marginal product The Three Stages of Production in the short run: Stage I: from zero units of the variable input to where AP is maximized (where MP=AP) Stage II: from the maximum AP to where MP=0 Stage III: from where MP=0 on
  • 27. Short-run analysis of Total, Average, and Marginal product In the short run, rational firms should be operating only in Stage II  Q: Why not Stage III?  firm uses more variable inputs to produce less output  Q: Why not Stage I?  underutilizing fixed capacity, so can increase output per unit by increasing the amount of the variable input
  • 28. Short-run analysis of Total, Average, and Marginal product What level of input usage within Stage II is best for the firm?  answer depends upon: • how many units of output the firm can • sell the price of the product • the monetary costs of employing the variable input
  • 29. Short-run analysis of Total, Average, and Marginal product  Total revenue product (TRP) = market value of the firm’s output, computed by multiplying the total product by the market price TRP = Q x P
  • 30. Short-run analysis of Total, Average, and Marginal product Marginal revenue product (MRP) = change in the firm’s TRP resulting from a unit change in the number of inputs used MRP = MP x P = X TRP
  • 31. Short-run analysis of Total, Average, and Marginal product  Total labour cost (TLC) = total cost of using the variable input labour, computed by multiplying the wage rate by the number of variable inputs employed TLC = w x X  Marginal labour cost (MLC) = change in total labour cost resulting from a unit change in the number of variable inputs used MLC = w
  • 32. Short-run analysis of Total, Average, and Marginal product Summary of relationship between demand for output and demand for a single input: A profit-maximizing firm operating in perfectly competitive output and input markets will be using the optimal amount of an input at the point at which the monetary value of the input’s marginal product is equal to the additional cost of using that input  MRP = MLC
  • 33. Short-run analysis of Total, Average, and Marginal product Multiple variable inputs Consider the relationship between the ratio of the marginal product of one input and its cost to the ratio of the marginal product of the other input(s) and their cost k k w MP w MP w MP 2 2 1 1
  • 34. Will the standard of living in the United States, Europe, and Japan continue to improve, or will these economies barely keep future generations from being worse off than they are today? Because the real incomes of consumers in these countries increase only as fast as productivity does, the answer depends on the labour productivity of workers. LABOUR PRODUCTIVITY AND THE STANDARD OF LIVING TABLE 3 LABOUR PRODUCTIVITY IN DEVELOPED COUNTRIES UNITED STATES JAPAN FRANCE GERMANY UNITED KINGDOM GDP PER HOUR WORKED (IN 2009 US DOLLARS) $56.90 $38.20 $54.70 $53.10 $45.80 Years Annual Rate of Growth of Labor Productivity (%) 1960-1973 2.29 7.86 4.70 3.98 2.84 1974-1982 0.22 2.29 1.73 2.28 1.53 1983-1991 1.54 2.64 1.50 2.07 1.57 1992-2000 1.94 1.08 1.40 1.64 2.22 2001-2009 1.90 1.50 0.90 0.80 1.30
  • 35. Long-run production function  In the long run, a firm has enough time to change the amount of all its inputs  The long run production process is described by the concept of returns to scale Returns to scale = the resulting increase in total output as all inputs increase
  • 36. Long-run production function If all inputs into the production process are doubled, three things can happen: output can more than double  ‘increasing returns to scale’ (IRTS) output can exactly double  ‘constant returns to scale’ (CRTS) output can less than double  ‘decreasing returns to scale’ (DRTS)
  • 37. Long-run production function One way to measure returns to scale is to use a coefficient of output elasticity: if EQ > 1 then IRTS if EQ = 1 then CRTS if EQ < 1 then DRTS inputsallinchangePercentage QinchangePercentage QE
  • 38. Long-run production function Returns to scale can also be described using the following equation hQ = f(kX, kY) if h > k then IRTS if h = k then CRTS if h < k then DRTS
  • 39. Long-run production function Graphically, the returns to scale concept can be illustrated using the following graphs Q X,Y IRTS Q X,Y CRTS Q X,Y DRTS
  • 40. Food grown on large farms in the United States is usually produced with a capital-intensive technology. However, food can also be produced using very little capital (a hoe) and a lot of labour (several people with the patience and stamina to work the soil). Most farms in the United States and Canada, where labor is relatively expensive, operate in the range of production in which the MRTS is relatively high (with a high capital-to- labour ratio), whereas farms in developing countries, in which labour is cheap, operate with a lower MRTS (and a lower capital-to-labour ratio). A PRODUCTION FUNCTION FOR WHEAT
  • 41. A PRODUCTION FUNCTION FOR WHEAT ISOQUANT DESCRIBING THE PRODUCTION OF WHEAT A wheat output of 13,800 bushels per year can be produced with different combinations of labour and capital. The more capital-intensive production process is shown as point A, the more labour- intensive process as point B. The marginal rate of technical substitution between A and B is 10/260 = 0.04.
  • 42. Estimation of production functions  Examples of production functions  short run: one fixed factor, one variable factor Q = f(L)K  cubic: increasing marginal returns followed by decreasing marginal returns Q = a + bL + cL2 – dL3  quadratic: diminishing marginal returns but no Stage I Q = a + bL - cL2
  • 43. Estimation of production functions Examples of production functions power function: exponential for one input Q = aLb if b > 1, MP increasing if b = 1, MP constant if b < 1, MP decreasing Advantage: can be transformed into a linear (regression) equation when expressed in log terms
  • 44. Estimation of production functions  Examples of production functions Cobb-Douglas function: exponential for two inputs Q = aLbKc if b + c > 1, IRTS if b + c = 1, CRTS if b + c < 1, DRTS
  • 45. Estimation of production functions Statistical estimation of production functions inputs should be measured as ‘flow’ rather than ‘stock’ variables, which is not always possible usually, the most important input is labour most difficult input variable is capital must choose between time series and cross-sectional analysis
  • 46. Estimation of production functions Aggregate production functions: whole industries or an economy  gathering data for aggregate functions can be difficult:  for an economy … GDP could be used  for an industry … data from Census of Manufactures or production index from Federal Reserve Board  for labour … data from Bureau of Labour Statistics
  • 48. Importance of production functions in managerial decision making Capacity planning: planning the amount of fixed inputs that will be used along with the variable inputs Good capacity planning requires: accurate forecasts of demand effective communication between the production and marketing functions
  • 49. Importance of production functions in managerial decision making Example: cell phones  Asian consumers want new phone every 6 months  demand for 3G products  Nokia, Samsung, SonyEricsson must be speedy and flexible
  • 50. Importance of production functions in managerial decision making Example: Zara  Spanish fashion retailer  factories located close to stores  quick response time of 2-4 weeks
  • 51. Importance of production functions in managerial decision making Application: call centers  service activity  production function is Q = f(X,Y) where Q = number of calls X = variable inputs Y = fixed input
  • 52. Importance of production functions in managerial decision making Application: China’s workers  Is China running out of workers?  Effect of industrial boom  eg bicycle factory in Guangdong Province
  • 54. Overview Definition and use of cost Relating production and cost Short run and long run cost Economies of scope and scale Supply chain management Ways companies have cut costs to remain competitive
  • 55. Cost Function A mathematical or graphic expression that shows the relationship between the cost of production and the level of output, all other factors held constant.
  • 56. Opportunity Cost The economic measure of cost that reflects the use of resources in one activity, such as a production process by one firm, in terms of the opportunities forgone in undertaking the next best alternative activity.
  • 57. Explicit and Implicit Costs A cost is explicit if it is reflected in a payment to another individual, such as a wage paid to a worker, that is recorded in a firm’s book keeping or accounting system. A cost that represents the value of using a resource that is not explicitly paid out and is often difficult to measure because it is typically not recorded in a firm’s accounting system.
  • 58. Profit The difference between the total revenue a firm receives from the sale of its output and the total cost of producing that output.
  • 59. Accounting vs. Economic Profit  Accounting profit is the difference between total revenue and total cost where cost includes only the explicit costs of production.  Economic profit is the difference between total revenue and total cost where cost includes both the explicit and any implicit costs of production.
  • 60. Short Run Cost Function A cost function for a short-run production process in which there is at least one fixed input of production.
  • 61. Fixed vs. Variable Costs Fixed cost is the total cost of using the fixed input, which remains constant regardless of the amount of output produced. Variable cost is the total cost of using the variable input, which increases as more output is produced.
  • 62. Short Run Costs COST FUNCTION DEFINITION Total fixed cost TFC = (PK) x (K) Total variable cost TVC = (PL) x (L) Total cost TC = TFC + TVC Average fixed cost AFC = TFC ÷ Q Average variable cost AVC = TVC ÷ Q Average total cost ATC = TC ÷ Q = AFC + AVC Marginal cost MC = ΔTC ÷ ΔQ = ΔTVC ÷ ΔQ
  • 64. Average and Marginal Cost Curves
  • 65. Relationship Between Short Run Production and Cost AC MC Q1 Q2
  • 66. Importance of cost in managerial decisions Ways to contain or cut costs popular during the past decade - most common: reduce number of people on the payroll outsourcing components of the business merge, consolidate, then reduce headcount
  • 67. Definition and use of cost in economic analysis  Relevant cost: a cost that is affected by a management decision  Historical cost: cost incurred at the time of procurement  Opportunity cost: amount or subjective value that is forgone in choosing one activity over the next best alternative  Incremental cost: varies with the range of options available in the decision  Sunk cost: does not vary in accordance with decision alternatives
  • 68. Relationship between production and cost Cost function is simply the production function expressed in monetary rather than physical units We assume the firm is a ‘price taker’ in the input market
  • 69. Relationship between production and cost  Total variable cost (TVC) = the cost associated with the variable input, found by multiplying the number of units by the unit price  Marginal cost (MC) = the rate of change in total variable cost The law of diminishing returns implies that MC will eventually increase MP W Q TVC MC
  • 70. Relationship between production and cost Plotting TP and TVC illustrates that they are mirror images of each other When TP increases at an increasing rate, TVC increases at a decreasing rate
  • 71. Short-run cost function For simplicity use the following assumptions:  the firm employs two inputs, labour and capital  the firm operates in a short-run production period where labour is variable, capital is fixed  the firm produces a single product  the firm employs a fixed level of technology  the firm operates at every level of output in the most efficient way  the firm operates in perfectly competitive input markets and must pay for its inputs at a given market rate (it is a ‘price taker’)  the short-run production function is affected by the law of diminishing returns
  • 72. Short-run cost function Standard variables in the short- run cost function: Quantity (Q) is the amount of output that a firm can produce in the short run Total fixed cost (TFC) is the total cost of using the fixed input, capital (K)
  • 73. Short-run cost function Standard variables in the short-run cost function: Total variable cost (TVC) is the total cost of using the variable input, labour (L) Total cost (TC) is the total cost of using all the firm’s inputs, TC = TFC + TVC
  • 74. Short-run cost function Standard variables in the short-run cost function: Average fixed cost (AFC) is the average per-unit cost of using the fixed input K AFC = TFC/Q Average variable cost (AVC) is the average per-unit cost of using the variable input L AVC = TVC/Q
  • 75. Short-run cost function Standard variables in the short-run cost function: Average total cost (AC) is the average per-unit cost of all the firm’s inputs AC = AFC + AVC = TC/Q Marginal cost (MC) is the change in a firm’s total cost (or total variable cost) resulting from a unit change in output MC = DTC/DQ = DTVC/DQ
  • 76. Short-run cost function Graphical example of the cost variables
  • 77. Short-run cost function Important observations AFC declines steadily when MC = AVC, AVC is at a minimum when MC < AVC, AVC is falling when MC > AVC, AVC is rising The same three rules apply for average cost (AC) as for AVC
  • 78. Short-run cost function A reduction in the firm’s fixed cost would cause the average cost line to shift downward A reduction in the firm’s variable cost would cause all three cost lines (AC, AVC, MC) to shift
  • 79. Short-run cost function Alternative specifications of the Total Cost function (relating total cost and output) cubic relationship as output increases, total cost first increases at a decreasing rate, then increases at an increasing rate
  • 80. Short-run cost function Alternative specifications of the Total Cost function (relating total cost and output) quadratic relationship as output increases, total cost increases at an increasing rate linear relationship as output increases, total cost increases at a constant rate
  • 81. Innovations have reduced costs and greatly increased carpet production. Innovation along with competition have worked together to reduce real carpet prices. Carpet production is capital intensive. Over time, the major carpet manufacturers have increased the scale of their operations by putting larger and more efficient tufting machines into larger plants. At the same time, the use of labour in these plants has also increased significantly. The result? Proportional increases in inputs have resulted in a more than proportional increase in output for these larger plants. RETURNS TO SCALE IN THE CARPET INDUSTRY TABLE 5 THE U.S. CARPET INDUSTRY CARPET SALES, 2005 (MILLIONS OF DOLLARS PER YEAR) 1. Shaw 4346 2. Mohawk 3779 3. Beaulieu 1115 4. Interface 421 5. Royalty 298
  • 82. It is important to understand the characteristics of production costs and to be able to identify which costs are fixed, which are variable, and which are sunk. Good examples include the personal computer industry (where most costs are variable), the computer software industry (where most costs are sunk), and the pizzeria business (where most costs are fixed). Because computers are very similar, competition is intense, and profitability depends on the ability to keep costs down. Most important are the cost of components and labour. A software firm will spend a large amount of money to develop a new application. The company can recoup its investment by selling as many copies of the program as possible. For the pizzeria, sunk costs are fairly low because equipment can be resold if the pizzeria goes out of business. Variable costs are low— mainly the ingredients for pizza and perhaps wages for a workers to produce and deliver pizzas. SUNK, FIXED, AND VARIABL E COSTS: COMPUTERS, SOFTWARE, AND PIZZAS
  • 83. The production of aluminum begins with the mining of bauxite. The process used to separate the oxygen atoms from aluminum oxide molecules, called smelting, is the most costly step in producing aluminum. The expenditure on a smelting plant, although substantial, is a sunk cost and can be ignored. Fixed costs are relatively small and can also be ignored. THE SHORT-RUN COST OF ALUMINUM SMELTING TABLE 7 PRODUCTION COSTS FOR ALUMINUM SMELTING ($/TON) (BASED ON AN OUTPUT OF 600 TONS/DAY) PER-TON COSTS THAT ARE CONSTANT FOR ALL OUTPUT LEVELS OUTPUT 600 TONS/DAY OUTPUT 600 TONS/DAY Electricity $316 $316 Alumina 369 369 Other raw materials 125 125 Plant power and fuel 10 10 Subtotal $820 $820 PER-TON COSTS THAT INCREASE WHEN OUTPUT EXCEENDS 600 TONS/DAY Labor $150 $225 Maintenance 120 180 Freight 50 75 Subtotal $320 $480 Total per-ton production costs $1140 $1300
  • 85. Long Run Production Function A production function showing the relationship between a flow of inputs and the resulting flow of output, where all inputs are variable. Q = f(L, K) where Q = quantity of output L = quantity of labour input (variable) K = quantity of capital input (variable)
  • 86. Input Substitution A manager’s choice of inputs will be influenced by: The technology of the production process The prices of the inputs of production The set of incentives facing the given producer
  • 87. Technology of the Production Process Capital-intensive method of production is a process that uses large amounts of capital equipment relative to the other inputs to produce the firm’s output. Labour-intensive method of production is a process that uses large amounts of labour relative to the other inputs to produce the firm’s output.
  • 88. The Incentives Facing a Given Producer The Role of Competitive Environments Labour Issues Nonprofit Organizations Political and Legislative Influences
  • 89. Long Run Average Cost Function This is defined as the minimum average or unit cost of producing any level of output when all inputs are variable.
  • 90. Long-run cost function  In the long run, all inputs to a firm’s production function may be changed  because there are no fixed inputs, there are no fixed costs  the firm’s long run marginal cost pertains to returns to scale  at first increasing returns to scale, then as firms mature they achieve constant returns, then ultimately decreasing returns to scale
  • 91. Long Run Average Cost Curve Q $ SRAC1 SRAC2 SRAC3 SRAC4 LRAC
  • 92. Long-run cost function In long run, the firm can choose any level of capacity Once it commits to a level of capacity, at least one of the inputs must be fixed. This then becomes a short-run problem The LRAC curve is an envelope of SRAC curves, and outlines the lowest per-unit costs the firm will incur over a range of output
  • 93. Long-run cost function When a firm experiences increasing returns to scale: a proportional increase in all inputs increases output by a greater proportion as output increases by some percentage, total cost of production increases by some lesser percentage
  • 94. Long-run cost function Economies of scale: situation where a firm’s long-run average cost (LRAC) declines as output increases Diseconomies of scale: situation where a firm’s LRAC increases as output increases In general, the LRAC curve is u- shaped.
  • 95. Economies and Diseconomies of Scale Economies of scale exist when the firm can achieve lower unit costs of production by adopting a larger scale of production, represented by the downward sloping portion of along-run average cost curve. Diseconomies of scale exist when the firm incurs higher unit costs of production by adopting a larger scale of production, represented by the upward sloping portion of a long-run average cost curve.
  • 96. Economies and Diseconomies of Scale - Graphical SATC1 SATC2 SATC3 LRAC $ QQ1 Economies of scale Declining LRAC Diseconomies of scale Increasing LRAC
  • 97. Long-run cost function Reasons for long-run economies specialization of labour and capital prices of inputs may fall with volume discounts in firm’s purchasing use of capital equipment with better price-performance ratios larger firms may be able to raise funds in capital markets at a lower cost larger firms may be able to spread out promotional costs
  • 98. Factors Creating Economies of Scale Specialization and division of labour Technological factors The use of automation devices Quantity discounts The spreading of advertising costs Financial factors
  • 99. Long-run cost function Reasons for diseconomies of scale scale of production becomes so large that it affects the total market demand for inputs, so input prices rise transportation costs tend to rise as production grows, due to handling expenses, insurance, security, and inventory costs
  • 100. Factors Creating Diseconomies of Scale The inefficiencies of managing large-scale operations. The increased transportation costs that result from concentrating production in a small number of very large plants.
  • 101. Learning By Doing The drop in unit costs as total cumulative production increases because workers become more efficient as they repeat their assigned tasks.
  • 102. Learning curve Learning curve: line showing the relationship between labour cost and additional units of output • downward slope indicates additional cost per unit declines as the level of output increases because workers improve with practice
  • 103. Learning curve  Learning curve: • measured in terms of percentage decrease in additional labour cost as output doubles Yx = Kxn Yx = units of factor or cost to produce the xth unit K = factor units or cost to produce the Kth (usually first) unit x = product unit (the xth unit) n = log S/log 2 S = slope parameter
  • 104. Minimum Efficient Scale That scale of operation at which the long-run average cost curve stops declining or at which economies of scale are exhausted. $ Q LRAC MES
  • 105. Methods for Determining MES Surveys of expert opinion (engineering estimates) Statistical cost estimation The survivor approach
  • 106. Surveying Expert Opinion Surveying expert opinion is a time- consuming process that relies on the judgments of those individuals closely connected with different industries. Reporting biases may obviously occur with this approach.
  • 107. Statistical Estimation Researchers attempt to estimate the relationship between unit costs and output levels of firms of varying sizes while holding constant all other factors influencing cost in addition to size. This is usually done with multiple regression analysis.
  • 108. Survivor Approach The size distribution of firms is examined to determine the scale of operation at which most firms in the industry are concentrated. The underlying assumption is that this scale of operation is most efficient and has the lowest costs because this is where most firms have survived.
  • 109. Economies of scope Economies of scope: reduction of a firm’s unit cost by producing two or more goods or services jointly rather than separately Closely related to economies of scale
  • 110. Supply chain management  Supply chain management (SCM): efforts by a firm to improve efficiencies through each link of a firm’s supply chain from supplier to customer • transaction costs are incurred by using resources outside the firm • coordination costs arise because of uncertainty and complexity of tasks • information costs arise to properly coordinate activities between the firm and its suppliers
  • 111. Supply chain management Ways to develop better supplier relationships strategic alliance: firm and outside supplier join together in some sharing of resources competitive tension: firm uses two or more suppliers, thereby helping the firm keep its purchase prices under control
  • 112. Ways companies cut costs to remain competitive  the strategic use of cost  reduction in cost of materials  using information technology to reduce costs  reduction of process costs  relocation to lower-wage countries or regions  mergers, consolidation, and subsequent downsizing  layoffs and plant closings
  • 113. Global application Example: manufacturing chemicals in China  labour content relatively low  high use of equipment and raw materials  non cost reasons for outsourcing
  • 114. Conclusion “The British supermarkets are leading a race to the bottom. Jobs are being lost and producers are having to pay less attention to social and environmental agreements…” Alistair Smith, Banana Link
  • 115. Casestudy : FORD and the World Automobile Industry (2009) 1. Read and prepare the Casestudy on FORD for discussion and presentation next week. 2. Identify and evaluate the challenges facing FORD’s global business by conducting External Environment analysis (PESTEL);and Industry (5+1 Forces) analysis.
  • 116. Core Reading • Keat, Paul G. and Young, Philip KY (2009) Managerial Economics, 6th edition, Pearson • Samuelson, William F. and Marks, Stephen G.(2010) Managerial Economics, 6th edition, John Wiley • Pindyck, Robert S. and Rubinfeld, Daniel L.(2013) Microeconomics, 8th edition, Pearson • Samuelson, P.A. and Nordhaus, W. D. (2010)“Economics” Irwin/McGraw-Hill, 19th Edition • Porter, Michael E. (2004)“Competitive Strategy – Techniques for Analyzing Industries and Competitors” Free Press