Cost and cost concepts (Engineering Economics and Management)
Economics Cost
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COST CONCEPTS
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Opportunity cost
Opportunity cost is the most
fundamental cost concept.
The opportunity cost of doing or getting
something is:
what you could have done or gotten
instead
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Opportunity cost is what you forgo.
Example: Your opportunity cost for
taking this course includes:
Whatever else you could have bought
with your tuition and fee money
plus
the work, family participation, and
recreation that you are not doing
because you are here.
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Money cost concepts
The cost-accounting concepts welldiscuss:
Total cost Fixed cost
Variable cost
Marginal cost Average cost
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Total cost
... is a function of quantity
function in the mathematical sense
Total cost = TC(Q)
TC(Q) = the total cost per unit of
time of producing Q units of output
per unit of time
TC = TVC + TFC
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Fixed Costs
Costs associated with owning a fixedinput or resource
Do not change as level of production
changes Fixed cost is the cost of producing
zero output in a given time period.
Not under control of the manager inthe short-run
Present in the short-run only
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Variable Cost
Variable cost equals total cost
minus fixed cost.
The variable cost is extra cost of
producing Q, above the cost of
producing 0.
Can be increased or decreased at
the managers discretion
In the "long run," all costs are
variable.
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Fixed Costs, Variable Costs,
and Total Costs
The sum of the variable and fixed
costs are total costs.TC = FC + VC
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Total Cost Curves
The total variable cost curve has the
same shape as the total cost
curveincreasing output increases
variable cost.
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Totalcost
$400
350
300
250
200
150
100
50
0
FC
2 4 6 8 10 20 30
Quantity of earrings
VC
TC
Total Cost Curves
TC =(VC + FC)
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Marginal Cost
Marginal costis the increase
(decrease) in total cost of increasing
(or decreasing) the level of output by
one unit.
In deciding how many units to
produce, the most important
variable is marginal cost.
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Marginal cost
Marginal cost is
Total cost at output Q
minus
total cost at output Q-1.
Marginal cost is the additional cost of
producing one more.
Or the reduction in cost from producingone less.
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Average Costs
Average total cost(often called
average cost) equals total cost
divided by the quantity produced.ATC = TC/Q
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Average Costs
Average fixed costequals fixed cost
divided by quantity produced.AFC = FC/Q
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Average Costs
Average variable costequals
variable cost divided by quantity
produced.AVC = VC/Q
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Average Costs
Average total cost can also be
thought of as the sum of average
fixed cost and average variable
cost.ATC = AFC + AVC
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Cost
$302826242220
18161412108
642
0
Quantity of earrings
2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32
Per Unit Output Cost Curves
AFC
AVCATC
MC
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Average cost & Marginal cost
Marginal cost is what to use to
decide whether to do something.
Average cost is good for telling you
whether you're making money
overall.
Profit = Revenue minus cost.
Average profit per unit =
Revenue Units Average Cost per
unit.
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Average and Marginal Cost
Curves
The marginal cost curve goes
through the minimum point of the
average total cost curve and
average variable cost curve.
Each of these curves is U-shaped.
The average fixed cost curve slopes
down continuously.
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Downward-Sloping Shape of
the Average Fixed Cost Curve
The average fixed cost curve starts
out with a steep decline, then it
becomes flatter and flatter.
It tells us that as output increases,
the same fixed cost can be spread
out over a wider range of output.
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The U Shape of the Average
and Marginal Cost Curves
When output is increased in the
short-run, it can only be done byincreasing the variable input.
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The U Shape of the Average
and Marginal Cost Curves
The law of diminishing marginal
productivity sets in as more and
more of a variable input is added toa fixed input.
Marginal and average
productivities fall and marginalcosts rise.
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The U Shape of the Average
and Marginal Cost Curves
And when average productivity of the
variable input falls, average variablecost rise.
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The U Shape of the Average
and Marginal Cost Curves
The average total cost curve is the
vertical summation of the average
fixed cost curve and the average
variable cost curve.
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The U Shape of the Average
and Marginal Cost Curves
If the firm increased output
enormously, the average variable cost
curve and the average total cost curvewould almost meet.
The firms eye is focused on
average total costit wants tokeep it low.
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Average and Marginal
Cost Curves
Output
$
MC ATC
AVC
AFC
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Relationship Between
Marginal and Average Costs
The marginal cost and average cost
curves are related.
When marginal cost exceeds average
cost, average cost must be rising.
When marginal cost is less than average
cost, average cost must be falling.
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Relationship Between
Marginal and Average Costs
Marginal cost curves always
intersect average cost curves at theminimum of the average cost
curve.
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Relationship Between
Marginal and Average Costs
The position of the marginal cost
relative to average total cost tellsus whether average total cost is
rising or falling.
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Relationship Between
Marginal and Average Costs
To summarize:If MC > ATC, then ATC is rising.
If MC = ATC, then ATC is at its lowpoint.
If MC < ATC, then ATC is falling.
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Relationship Between
Marginal and Average Costs
Marginal and average total cost
reflect a general relationship that
also holds for marginal cost andaverage variable cost.
If MC > AVC, then AVC is rising.
If MC = AVC, then AVC is at its lowpoint.
If MC < AVC, then AVC is falling.
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Relationship Between
Marginal and Average Costs
$90
80
70
60
50
40
30
20
10
0Quantity
Area B
Area A Area C
MC
ATC
AVC
1 2 3 4 5 6 7 8 9
Q1
B
AVC
ATC
MCQ0
A
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Long-run and short-run
In the short run, it pays to sell to any
customer who'll pay marginal cost.
Even if youre losing money overall,
you're losing less than if you had
turned down the sale.
In the long run, when you can get
out of your fixed cost, you shut
down if your average price is not
more than average cost.
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10.34
Long Run Costs
The long run average, LAC, andmarginal, LMC, cost curves have thesame basic shape that the
equivalent short run cost curves. However, the reason why each is U-
shaped is for different reasons,which are
Short run the Law of DiminishingMarginal returns
Long run economies/diseconomies
of scale
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Production costs in the long run
1.Types of costs:
TC; ATC; MC (ATC and MC: U shape)2. Economies of scale and diseconomies of
scale
Economies of scale: when increasing the
scale of production lead to a lower cost per
unit of output.
Q up----LAC down
Reasons: labor and managerialspecialization\ ability to purchase and use
more efficient capital goods\ other factors
such as advertising or other start up costs\
economy of bulk buying.
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Diseconomies of scale: where costs
per unit of output increase as thescale of production increases. Q up---
LAC down.
Reasons: the growing complexities ofmanaging a larger organization\
distant management, worker
alienation and problems with
communication and coordination..
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Short-Run & Long-Run Total
Cost Curves
The firms long-run total cost curve
consists of the lowest parts of the
short-run total cost curves. Thelong-run total cost curve is the
lower envelope of the short-run
total cost curves.
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The Envelope Relationship
In the short run all expansion mustproceed by increasing only the
variable input
This constraint increases cost
There is an envelope relationshipbetweenlong-run and short-run average total costs.Each short-run cost curve touches the long-run cost curve at only one point.
Long-run costs are always less than or equalto short-run costs because:
In the long run, all inputs are flexible
In the short run, some inputs are fixed
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The Envelope of
Short-Run Average Total Cost
Curves
SRMC3SRATC3
SRMC4
SRATC4
SRMC1SRATC
1
SRMC2SRATC2
LRATC
Q
Costsper unit
The long-run averagetotal cost curve (LRATC)
is an envelope of theshort-run average totalcost curves (SRATC1-4)
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LONG-RUN VERSUS SHORT-RUN COST CURVES
Long-Run Average Cost
Long-Run Average andMarginal Cost
When a firm is producing at anoutput at which the long-runaverage cost LAC is falling, thelong-run marginal cost LMC isless than LAC.Conversely, when LAC is
increasing, LMC is greater thanLAC.The two curves intersect at A,where the LAC curve achieves itsminimum.
h l i hi
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The Relationship Between
Productivity and Costs
The shapes of the cost curves
are mirror-image reflections of
the shapes of the corresponding
productivity curves.
Th R l i hi B
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The Relationship Between
Productivity and Costs
When one is increasing, the other is
decreasing.
When one is at a maximum, theother is at a minimum.
Th R l i hi B
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Costsperunit
Productiv
ityofworkersatt
hisoutput
$18
16
1412
10
8
6
42
0 4 8 12 16 20 24
9
8
76
5
4
3
21
0 4 8 12 16 20 24
AVC
MC
Output Output
A
APofworkers
MPof workers
The Relationship Between
Productivity and Costs
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Production Rules
Short-run
SP > ATC
Produce where MR=MC
ATC > SP > AVC
Making contribution to
FC
Produce where MR=MC SP < AVC
Do not produce
Long-run
SP > ATC
Produce whereMR=MC
SP < ATC
Do not produce
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