chapter 20: production and costs
DESCRIPTION
Chapter 20: Production and Costs. economic costs & profits short run long run. big picture. understand behavior of firm understand & measure production costs. I. economic costs & profits. firm’s goal: maximize profit look at factors that affect firm’s decision. economic costs. - PowerPoint PPT PresentationTRANSCRIPT
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Chapter 20: Production and CostsChapter 20: Production and Costs
• economic costs & profits • short run • long run
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big picturebig picture
• understand behavior of firm• understand & measure
production costs
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I. economic costs & profitsI. economic costs & profits
• firm’s goal:maximize profit
• look at factors that affect firm’s decision
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economic costseconomic costs
• opportunity cost of resources used• explicit costs
paid in money wages, rent, material, etc.
• implicit costs opportunity cost of resources used
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example: smoothie shopexample: smoothie shop
• explicit costs: wages interest on loan rent on store fruit, blenders
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• implicit costs forgone interest on funds used to
buy capital owner’s forgone wages owner’s forgone profit from other
venture
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accounting profitaccounting profit
• total revenue – explicit costs• ignores opportunity cost
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economic profiteconomic profit
• includes opp. costs= total revenue - total costs= (price)(quantity)
- (explicit + implicit costs)
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normal profitnormal profit
• occurs when• amount of accounting profit
= opportunity costs of resources• if earning a normal profit,
economic profit = 0
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Short Run vs. Long RunShort Run vs. Long Run
• Short Run (SR) time frame where some resources
are fixed-- plants, equipment
some inputs variable-- labor
SR decisions are reversible
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• Long Run (LR) time frame where all inputs are
variable--build a bigger plant
LR decisions are hard to reverse-- cannot easily get rid of capital
-- sunk cost
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II. SR ProductionII. SR Production
• measures of output total product marginal product average product
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total product (TP)total product (TP)
• total quantity of good producedin a given period
• at first, increases with labor,then falls
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TP: gal. of smoothies per hourTP: gal. of smoothies per hour# workers TP
01234567
01368998
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TP
# workers5 6
9
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marginal product (MP)marginal product (MP)
• change in TP due to one more worker
=change in TP
change in labor
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At first MP rises with workersAt first MP rises with workers
• add more workers• greater specialization• MP of each worker added is larger
than previous worker• increasing marginal returns
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then, MP falls with more workersthen, MP falls with more workers
• keep adding workers• but same amount of capital• so eventually get in the way• MP of more workers smaller than
MP of previous workers• decreasing marginal returns
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TP, MP: gal. of smoothiesTP, MP: gal. of smoothies# workers TP
01234567
01368998
MP
123
-1012
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MP
Q = # workers
0
3
3
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law of decreasing returnslaw of decreasing returns
• As firm uses more labor with capital fixed, MP of labor will eventually fall
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Average Product (AP)Average Product (AP)
=TP
labor
= productivity
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# workers TP
01234567
01368998
MP
123
-1012
AP
11.5221.81.51.1
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MP
# workers
0
3
3
AP
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MP & APMP & AP• MP intersects AP at max of AP• why?• MP > AP
AP is rising• MP < AP
AP is falling
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III. SR costIII. SR cost
• measure cost 3 ways: total cost marginal cost average cost
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Total Cost (TC)Total Cost (TC)
• cost of all factors used• total fixed cost (TFC)
cost of land, capital, etc. does not change in SR
• total variable cost (TVC) cost of labor changes in SR
• TC = TFC + TVC
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example : yogurtexample : yogurt
• labor = $6/ hour• TFC = $10/ hour
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workers TP TFC TVC TC
0 0 10 0 101 1 10 6 161.6 2 10 9.6 19.62 3 10 12 22
45
89
1010
2430
3440
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Q = output
TC
TFC10
TC
TVC
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Marginal CostMarginal Cost
• change in TC due to one-unit increase in output (Q)
=change in TCchange in Q
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TP TFC TVC TC
0 10 0 101 10 6 162 10 9.6 19.63 10 12 22
89
1010
2430
3440
MC
63.62.4
6
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Average Cost (ATC)Average Cost (ATC)
• = TC/Q• average fixed cost (AFC)
(TFC/Q)• average variable cost (AVC)
(TVC/Q)• ATC = AFC + AVC
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TP TFC TVC TC
0 10 0 101 10 6 162 10 9.6 19.63 10 12 22
89
1010
2430
3440
AFC AVC AC
10 6 165 4.8 9.8 3.33 4 7.33
1.25 3 4.251.11 3.33 4.44
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Q = output
AC, MC
AFC
ATCAVC
MC
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MC & ACMC & AC
• MC intersects AC at its minimum• MC < AC
AC is falling• MC > AC
AC is rising
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AC is U-shapedAC is U-shaped
• why?• AFC falls with Q• AVC falls then rises
decreasing marginal returns• so ATC falls, then rises
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cost & product curvescost & product curves
• when MP is at maximum,MC is at minimum
• when AP is at maximum,AVC is at minimum
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what shifts cost curves?what shifts cost curves?
• technology make more with same inputs shifts TP, MP, AP up changes ATC curve
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• changes in factor prices increase fixed costs
-- TFC, AFC shift up-- TC shift up
increase wages (variable)-- TVC, AVC, MC shift up-- TC shift up
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IV. LR costsIV. LR costs
• all inputs (and costs) are variable• what happens if increase plant
AND labor by 10%? ATC fall? ATC rise? ATC stay same?
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Economies of scaleEconomies of scale
• increase inputs 10% output increase > 10% ATC falls
• why? gains from specialization
-- labor-- capital
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Diseconomies of scaleDiseconomies of scale
• increase inputs 10% output increase < 10% ATC rises
• why? too hard to control large firm
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Constant returns to scaleConstant returns to scale
• increase inputs 10% output increase = 10% ATC stays same
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LR Average Cost (LRAC)LR Average Cost (LRAC)
• lowest average cost when all inputs are variable
• SRAC curves from different plant sizes
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Q = output
ACATC1 ATC2
ATC3ATC4
LRAC
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Q = output
ACATC1 ATC2
ATC3ATC4
economiesof scale
constantreturnsto scale
diseconomiesof scale
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summary:summary:
• costs = implicit + explicit• SR, only labor variable• LR, all inputs variable• Production & costs
total, marginal, average fixed, variable
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The importance of the firm’s production function, the relationship between quantity of inputs and quantity of output
Why production is often subject to diminishing returns to inputs
The various types of costs a firm faces and how they generate the firm’s marginal and average cost curves
Why a firm’s costs may differ in the short run versus the long run
How the firm’s technology of production can generate increasing returns to scale
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The Production FunctionThe Production Function
• A production function is the relationship between the quantity of inputs a firm uses and the quantity of output it produces.
• A fixed input is an input whose quantity is fixed for a period of time and cannot be varied.
• A variable input is an input whose quantity the firm can vary at any time.
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Inputs and OutputInputs and Output
• The long run is the time period in which all inputs can be varied.
• The short run is the time period in which at least one input is fixed.
• The total product curve shows how the quantity of output depends on the quantity of the variable input, for a given quantity of the fixed input.
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Production Function and TP Curve forGeorge and Martha’s Farm
012345678
1917151311975
01936516475849196
Quantity of labor
L(worker)
Quantity of wheat
Q(bushels)
MP of laborMPL =Q/L
(bushels per worker)
7 86543210
100
80
60
40
20
Quantity of wheat (bushels)
Quantity of labor (workers)
Total product, TP
Adding a 7th worker leads to an increase in output of only 7 bushels
Adding a 2nd worker leads to an increase in output of only 17 bushels
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The marginal product of an input is the additional quantity of output that is produced by using one more unit of that input.
Marginal Product of Labor
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Diminishing Returns to an InputDiminishing Returns to an Input
• There are diminishing returns to an input when an increase in the quantity of that input, holding the levels of all other inputs fixed, leads to a decline in the marginal product of that input.
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Marginal Product of Labor Curve
Marginal product of labor, MPL
7 86543210
1917151311975
Marginal product of
labor (bushels per
worker)
Quantity of labor (workers)
There are diminishing returns to labor.
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(a) Total Product Curves (b) Marginal Product Curves
Marginal product of labor
(bushels per worker)
Quantity of wheat (bushels)
7 86543210
30252015105
7 86543210
16014012010080604020
TP20
TP10
MPL20MPL10
Quantity of labor (workers)Quantity of labor (workers)
Total Product, Marginal Product, and the Fixed Input
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From the Production Function to Cost From the Production Function to Cost CurvesCurves
• A fixed cost is a cost that does not depend on the quantity of output produced. It is the cost of the fixed input.
• A variable cost is a cost that depends on the quantity of output produced. It is the cost of the variable input.
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Total Cost CurveTotal Cost Curve
• The total cost of producing a given quantity of output is the sum of the fixed cost and the variable cost of producing that quantity of output.
TC = FC + VC
• The total cost curve becomes steeper as more output is produced due to diminishing returns.
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Total Cost Curve for George and Martha’s Total Cost Curve for George and Martha’s FarmFarm
19 36 51 64 75 84 91 960
$2,0001,8001,6001,4001,2001,000
800600400200
Cost
Quantity of wheat (bushels)
AB
CD
EF
G
Total cost, TC
HI
ABCDEFGHI
Point on graph
012345678
$400400400400400400400400400
O200400600800
1,0001,2001,4001,600
400600800
1,0001,2001,4001,6001,8002,000
01936516475849196
Variable cost(VC)
Total cost
(TC = FC + VC)
$ $
Quantity of labor L
(worker)
Quantity of wheat Q(bushels)
Fixed Cost
(FC)
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The Mythical Man-Month
Quantity of labor (programmers)
TP
MPL
0
0
Quantity of labor (programmers)
Marginal product of labor (lines per
programmer)
Quantity of software code
(lines)
Beyond a certain point, an additional
programmer is counterproductive.
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Two Key Concepts: Marginal Cost and Average Two Key Concepts: Marginal Cost and Average CostCost
As in the case of marginal product, marginal cost is equal to “rise” (the increase in total cost) divided by “run” (the increase in the quantity of output).
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Costs at Selena’s Gourmet SalsasCosts at Selena’s Gourmet Salsas
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Total Cost and Marginal Cost Curves for Total Cost and Marginal Cost Curves for Selena’s Gourmet SalsasSelena’s Gourmet Salsas
$250
200
150
100
50
Cost of case
7 8 9 106543210
$1,400
1,200
1,000
800
600
400
200
Cost
Quantity of salsa (cases)7 8 9 106543210
(b) Marginal Cost(a) Total Cost
TC MC
Quantity of salsa (cases)
8th case of salsa increases total cost by $180.
2nd case of salsa
increases total cost by
$36.
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Why is the Marginal Cost Curve Upward Why is the Marginal Cost Curve Upward Sloping?Sloping?
• Because there are diminishing returns to inputs in this example. As output increases, the marginal product of the variable input declines.
• This implies that more and more of the variable input must be used to produce each additional unit of output as the amount of output already produced rises.
• And since each unit of the variable input must be paid for, the cost per additional unit of output also rises.
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Average CostAverage Cost• Average total cost, often referred to simply as average cost,
is total cost divided by quantity of output produced.
ATC = TC/Q = (Total Cost) / (Quantity of Output)
• A U-shaped average total cost curve falls at low levels of output, then rises at higher levels.
• Average fixed cost is the fixed cost per unit of output.
AFC = FC/Q = (Fixed Cost) / (Quantity of Output)
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Average CostAverage Cost
•Average variable cost is the variable cost per unit of output.
AVC = VC/Q= (Variable Cost) / (Quantity of Output)
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Average Total Cost CurveAverage Total Cost Curve
•Increasing output has two opposing effects on average total cost:
The spreading effect: the larger the output, the greater the quantity of output over which fixed cost is spread, leading to lower the average fixed cost.
The diminishing returns effect: the larger the output, the greater the amount of variable input required to produce additional units leading to higher average variable cost.
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Average Costs for Selena’s Gourmet Average Costs for Selena’s Gourmet SalsasSalsas
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Average Total Cost Curve for Selena’s Average Total Cost Curve for Selena’s Gourmet SalsasGourmet Salsas
Average total cost, ATC
M
7 8 9 106543210
$140
120
100
80
60
40
20
Minimum average total cost
Minimum-cost output
Cost of case
Quantity of salsa (cases)
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Putting the Four Cost Curves Putting the Four Cost Curves TogetherTogether
Note that:1. Marginal cost is upward sloping due to diminishing
returns.2. Average variable cost also is upward sloping but is flatter
than the marginal cost curve. 3. Average fixed cost is downward sloping because of the
spreading effect.4. The marginal cost curve intersects the average total cost
curve from below, crossing it at its lowest point. This last feature is our next subject of study.
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Marginal Cost and Average Cost Curves for Marginal Cost and Average Cost Curves for Selena’s Gourmet SalsasSelena’s Gourmet Salsas
$250
200
150
100
50
7 8 9 10654321
M
0
MC
ATCAVC
AFC
Minimum-cost output
Cost of case
Quantity of salsa (cases)
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General Principles That Are Always True About a General Principles That Are Always True About a Firm’s Marginal and Average Total Cost CurvesFirm’s Marginal and Average Total Cost Curves
• The minimum-cost output is the quantity of output at which average total cost is lowest—the bottom of the U-shaped average total cost curve.
At the minimum-cost output, average total cost is equal to marginal cost.
At output less than the minimum-cost output, marginal cost is less than average total cost and average total cost is falling.
And at output greater than the minimum-cost output, marginal cost is greater than average total cost and average total cost is rising.
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The Relationship Between the Average The Relationship Between the Average Total Cost and the Marginal Cost CurvesTotal Cost and the Marginal Cost Curves
Cost of unit
Quantity
MC
ATC
MC L
MC H
A1 B1A2
B2
M
If marginal cost is above average total cost, average total cost is rising.
If marginal cost is below average total cost, average total cost is falling.
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Does the Marginal Cost Curve Always Slope Does the Marginal Cost Curve Always Slope Upward?Upward?
• In practice, marginal cost curves often slope downward as a firm increases its production from zero up to some low level, sloping upward only at higher levels of production.
• This initial downward slope occurs because a firm that employs only a few workers often cannot reap the benefits of specialization of labor. This specialization can lead to increasing returns at first, and so to a downward-sloping marginal cost curve.
• Once there are enough workers to permit specialization, however, diminishing returns set in.
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More Realistic Cost CurvesMore Realistic Cost CurvesMC
ATC
AVC
Cost of unit
Quantity
2. … but diminishing returns set in once the benefits from specialization are exhausted and marginal cost rises.
1. Increasing specialization leads to lower marginal cost…
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Short-Run versus Long-Run Short-Run versus Long-Run CostsCosts•In the short run, fixed cost is completely outside the control of a firm. But all inputs are variable in the long run.
•The firm will choose its fixed cost in the long run based on the level of output it expects to produce.
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Choosing the Level of Fixed Cost of Selena’s Gourmet Salsas
ATC1
1248
108192300432588768972
1,200
$ 120156216300408540696876
1,0801,308
Total cost$
ATC2
6245496
150216294384486600
$ $222240270312366432510600702816
Low fixed cost (FC = $108) High fixed cost (FC = $216)
$120.0078.0072.0075.0081.6090.0099.43
109.50120.00130.80
$222.00120.0090.0078.0073.2072.0072.8675.0078.0081.60
123456789
10
Average total cost of case
Quantity of
salsa(salsa)High
variable cost
Low variable cost
Total cost
Average total cost of case
$250
200
150
100
50
Cost of case
Quantity of salsa (cases)7 8 9 106543210
High fixed cost
Low fixed cost
ATC2
ATC1
At low output levels, low fixed cost yields lower average total cost
At high output levels, high fixed cost yields lower average total cost
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•The long-run average total cost curve shows the relationship between output and average total cost when fixed cost has been chosen to minimize average total cost for each level of output.
The Long-run Average Total Cost Curve
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Short-Run and Long-Run Average Total Short-Run and Long-Run Average Total Cost CurvesCost Curves
B
ATC6 ATC9ATC3 LRATC
3 5 84 70 6 9
Increasing returns to scale Decreasing returns to scaleConstant returns to scale
C XA
Y
Cost of case
Quantity of salsa (cases)
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Returns to ScaleReturns to Scale
• There are increasing returns to scale (economies of scale) when long-run average total cost declines as output increases.
• There are decreasing returns to scale (diseconomies of scale) when long-run average total cost increases as output increases.
• There are constant returns to scale when long-run average total cost is constant as output increases.
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1. The relationship between inputs and output is a producer’s production function. In the short run, the quantity of a fixed input cannot be varied but the quantity of a variable input can. In the long run, the quantities of all inputs can be varied. For a given amount of the fixed input, the total product curve shows how the quantity of output changes as the quantity of the variable input changes.
2. There are diminishing returns to an input when its marginal product declines as more of the input is used, holding the quantity of all other inputs fixed.
3. Total cost is equal to the sum of fixed cost, which does not depend on output, and variable cost, which does depend on output.
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4. Average total cost, total cost divided by quantity of output, is the cost of the average unit of output, and marginal cost is the cost of one more unit produced. U-shaped average total cost curves are typical, because average total cost consists of two parts: average fixed cost, which falls when output increases (the spreading effect), and average variable cost, which rises with output (the diminishing returns effect).
5. When average total cost is U-shaped, the bottom of the U is the level of output at which average total cost is minimized, the point of minimum-cost output. This is also the point at which the marginal cost curve crosses the average total cost curve from below.
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6. In the long run, a producer can change its fixed input and its level of fixed cost. The long-run average total cost curve shows the relationship between output and average total cost when fixed cost has been chosen to minimize average total cost at each level of output.
7. As output increases, there are increasing returns to scale if long-run average total cost declines; decreasing returns to scale if it increases; and constant returns to scale if it remains constant. Scale effects depend on the technology of production.