Download - The Production And Cost C M A
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The Production and Cost
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The Role of the Firm
The firm is an economic institution that transforms factors of production into consumer goods – it: Organizes factors of production. Produces goods and services. Sells produced goods and services.
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The Firm’s Objective
The economic goal of the firm is to maximize profits.
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A Firm’s Profit
Profit is the firm’s total revenue minus its total cost.
Profit = Total revenue - Total cost
Total Cost includes all of the opportunity costs of production
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Economic Profit versus Accounting Profit
RevenueTotalopportunitycosts
How an EconomistViews a Firm
Explicitcosts
Economicprofit
Implicitcosts
Explicitcosts
Accountingprofit
How an AccountantViews a Firm
Revenue
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Technology and Production Function Technology: production process that
define how a firm can combine or convert inputs into outputs.
Production function: is a function that describes the efficient combination of inputs to produce a certain level of output (the maximum amount of any output a producer can get most efficiently, given a certain level of inputs; or the minimum amount of inputs required to produce a level of output).
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Technology and Production Function
Marginal product is the additional output that will be forthcoming from an additional unit of input, other inputs remaining constant.
Average product is calculated by dividing total output by the quantity of the input.
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A Production Table
Number of workers Total output Marginal
productAverage product
46765310
-2-5
123456789
10
0455.75.85.65.24.64.03.32.5
—4
101723283132323025
0
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Out
put
32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 0
1 2 3 4 5 6 7 8 9 10Number of workers
TP
Out
put p
er w
orke
r
1 2 3 4 5 6 7 8 9 10Number of workers
7
6
5
4
3
2
1
0
MP(a) Total product (b) Marginal and average product
AP
Graphical Representation of TP, AP, and MP curves
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The Law of Diminishing Marginal Productivity
Both marginal and average productivities initially increase, but eventually they both decrease.
This means that initially the production function exhibits increasing marginal productivity.
Then it exhibits diminishing marginal productivity.
Finally, it exhibits negative marginal productivity.
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The Law of Diminishing Marginal Productivity
Number of workers
Total output
Marginal product
Average product
Increasing marginal returns
Diminishing marginal returns
Diminishing absolute returns
46765310
-2-5
123456789
10
0455.75.85.65.24.64.03.32.5
—4
101723283132323025
0
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Out
put
Diminishing marginal returns
Diminishing absolute
returns32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 0
1 2 3 4 5 6 7 8 9 10
Increasing marginal
returns
Number of workers
TP
Out
put p
er w
orke
r
1 2 3 4 5 6 7 8 9 10Number of workers
7
6
5
4
3
2
1
0
MP
Diminishing marginal returns
Diminishing absolute
returns
(a) Total product (b) Marginal and average product
AP
The Law of Diminishing Marginal Productivity
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Fixed Costs, Variable Costs, and Total Costs
Fixed costs are those that are spent and cannot be changed in the period of time under consideration. In the long run there are no fixed costs since all
costs are variable. In the short run, a number of costs will be fixed.
Workers represent variable costs – those that change as output changes.
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Family of Total Costs
Total Fixed Costs (TFC) Total Variable Costs (TVC) Total Costs (TC)
TC = TFC + TVC
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Family of Total Costs
Quantity Total Cost Fixed Cost Variable Cost0 $ 3.00 $3.00 $ 0.001 3.30 3.00 0.302 3.80 3.00 0.803 4.50 3.00 1.504 5.40 3.00 2.405 6.50 3.00 3.506 7.80 3.00 4.807 9.30 3.00 6.308 11.00 3.00 8.009 12.90 3.00 9.9010 15.00 3.00 12.00
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Average Costs
Average fixed cost equals fixed cost
divided by quantity produced.
AFC = FC/QAverage variable cost equals variable
cost divided by quantity produced.
AVC = VC/QAverage 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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Marginal Cost
Marginal cost is the increase (decrease) in total cost of increasing (or decreasing) the level of output by one unit.
QTC=
quantity) in (Changecost) total in (Change
=MC
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Total Cost CurvesT
ota
l co
st
$400
350
300
250
200
150
100
50
0
FC
2 4
M
6 8 10 20 30
Quantity of earrings
VCTC
L
O
TC = VC + FC
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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. 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
The law of diminishing marginal productivity sets in as more and more of a variable input is added to a fixed input.
Marginal and average productivities fall and marginal costs rise. And when average productivity of the variable input falls, average variable cost rise. 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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Per Unit Output Cost CurvesC
ost
$30 28 26 24 22 20 18 16 14 12 10
8 6 4 2 0
Quantity of earrings2 4 6 8 10 12 14 1618 2022 2426 28 30 32
AFC
AVCATCMC
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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 low point.
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 and average variable cost.
If MC > AVC, then AVC is rising.
If MC = AVC, then AVC is at its low point.
If MC < AVC, then AVC is falling.
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Relationship Between Marginal and Average Costs
Cos
ts p
er u
nit
$908070605040302010
0 Quantity
Area B
Area A Area C MC
ATCAVC
1 2 3 4 5 6 7 8 9Q1
B
AVC
ATC
MC Q0
A
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Costs in the Long Run
For many firms, the division of total costs between fixed and variable costs depends on the time horizon being considered. In the short run some costs are fixed. In the long run fixed costs become variable
costs.
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Average Total Cost in the Short and Long Runs...
Quantity ofCars per Day
0
AverageTotalCost
ATC in shortrun with
small factory
ATC in shortrun with
medium factory
ATC in shortrun with
large factory
ATC in long run
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Economies and Diseconomies of Scale
Diseconomies
of scale
Quantity ofCars per Day
0
AverageTotalCost
ATC in long run
Economies
of scale
Constant Returnsto scale
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Isocost/Isoquant Analysis
Isoquant curve –An isoquant curve (equal quantity) represents combinations of factors of production that result in equal amounts of output.
A point on the isoquant curve is technically efficient.
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Isoquant Curve for 60 Earrings
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Isoquant Curve for 60 Earrings
Units of labour
Machines
B
A
G
C
D
FE Q60
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Isoquant Curve
Marginal rate of technical substitution – the rate at which one factor must be added to compensate for the loss of another factor, to keep output constant.
It is the slope of the isoquant curve.
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Isoquant Curve
The absolute value of the slope at a point on the isoquant curve equals the ratio of the marginal productivity of labour to the marginal productivity of machines.
onSubstituti Technical of Rate MarginalMP
MPSlope
machine
labour
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Isoquant Map
Q40
Q60
Q100
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Isocost line
The isocost line (equal cost) represents alternative combinations of factors of production that have the same cost.
The slope of the isocost line equals the ratio of prices of the factors of production.
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Isocost Lines
Units of labour
Machines
Slope = -Plabour/Pmachines
=-5/3
6 12
20
18
C
D A
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Combining Isoquant and Isocost Curves
Units of labour
Machines
20
12
C
AB
MPlabour/MPmachines =Plabour/Pmachines
Q1
Q2