What will you learn in this chapter?
• How to define total revenue, total cost, and profit.
• How to differentiate between:
– Fixed and variable costs.
– Explicit and implicit costs.
• How to calculate economic and accounting profit.
• How to define marginal product and show diminishing marginal product.
• How to define average and marginal cost.
• How to think about long-run and short-run costs.
• How to define returns to scale and its implications.
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1© 2014 by McGraw-Hill Education 1
Chapter 12
The Costs of Production
© 2014 by McGraw-Hill Education 2
What will you learn in this chapter?
• How to define total revenue, total cost, and profit.
• How to differentiate between:
– Fixed and variable costs.
– Explicit and implicit costs.
• How to calculate economic and accounting profit.
• How to define marginal product and show
diminishing marginal product.
• How to define average and marginal cost.
• How to think about long-run and short-run costs.
• How to define returns to scale and its
implications.
© 2014 by McGraw-Hill Education 3
Revenues, costs, and profits
• A firm’s goal is to maximize profits:
Profit = Total revenue – Total cost
• Total revenue is the amount that a firm receives from the
sale of goods and services and is calculated as the quantity
sold multiplied by the price paid for each unit:
Total revenue = Quantity x Price = (Q1xP1) + (Q2xP2) + +
(QnxPn)
• Total cost is the amount that a firm pays for inputs used to
produce goods or services.
• While total revenue is simple to calculate, costs are more
complex and harder to calculate.
2© 2014 by McGraw-Hill Education 4
Active Learning: Calculating total revenue
• Suppose a firm produces two goods:
– Bouncy balls that sell for $1.
– Gumball machines that sell for $25.
• Last year the firm sold 100,000 balls and
10,000 gumball machines. Calculate total
revenue.
© 2014 by McGraw-Hill Education 5
Fixed and variable costs
• A firm’s total cost is defined as:
Total costs = Fixed costs + Variable costs
• Fixed costs are costs that do not depend on the
quantity of output produced.
– One-time, upfront payments before production begins,
like buying equipment.
– Ongoing payments, like monthly rents.
• Fixed costs are constant as quantity increases.
• Even if a firm produces nothing, it still incurs a
fixed cost.
© 2014 by McGraw-Hill Education 6
Fixed and variable costs
• Variable costs are those that depend on the
quantity of output produced.
– Includes raw materials as well as labor costs.
• Total variable costs increase with each
additional unit produced.
• If a firm produces nothing, variable costs are
zero.
3© 2014 by McGraw-Hill Education 7
Fixed and variable costs
This table provides the fixed and variable costs for a firm.
Quantity of pills
(millions)
100,000
00
200,000
300,000
400,000
500,000
600,000
700,000
800,000
30
40
50
60
70
80
10
20
1,000,000
1,000,000
1,000,000
1,000,000
1,000,000
1,000,000
1,000,000
1,000,000
1,000,000
1,000,000
1,300,000
1,400,000
1,500,000
1,600,000
1,700,000
1,800,000
1,100,000
1,200,000
Total costs
($)
Variable costs
($)
Fixed costs
($)
• As the quantity produced increases, the fixed costs remain
constant and the variable costs increase.
© 2014 by McGraw-Hill Education 8
Active Learning: Calculating costs
Fill in the table assuming fixed costs are $1,000 and variable costs
are $20 per unit.
Quantity
0
30
40
50
60
70
80
10
20
Total costs
($)
Variable costs
($)
Fixed costs
($)
© 2014 by McGraw-Hill Education 9
Explicit and implicit costs
• A firm’s opportunity cost of operation has two
components.
• The first is composed of the fixed and variable
costs.
– These are explicit costs that require a firm to spend
money.
• The second is composed of forgone opportunities.
– These are implicit costs that represent opportunities
that could have generated revenue if the firm had
invested its resources in another way.
• To properly account for the total costs incurred by
a firm, total cost includes both types of costs.
4© 2014 by McGraw-Hill Education 10
Economic and accounting profit
• When companies report their profits, they
provide accounting profits:
Accounting profit = Total revenue – Explicit costs
• Accounting profits may be a misleading indicator
of how well a business is really doing.
• To account for implicit costs, economic profit
further subtracts implicit costs:
Economic profit = Accounting profit – Implicit costs
© 2014 by McGraw-Hill Education 11
Economic and accounting profit
The following dialog illustrates why economic profits matter.
Executive B: But you’re forgetting
about all of the other things we could
do with $10 million. By my
calculations, we could earn $6 million
in interest over the next 10 years of
we invested the money. That means
that the true cost of buying the facility
is $16 million, and the revenue would
be only $13 million. If we bought the
factory, we could lose $3 million!
Executive A: The new facility would cost $6
million to buy and $4 million to operate over the
next decade, for a total cost of $10 million. The
medicines we could produce there would bring in
revenue of $13 million. We could make $3 million
in profits. Buy the factory!
CEO: We have the
opportunity to buy a
new manufacturing
facility. Is this a smart
move for you
company?
© 2014 by McGraw-Hill Education 12
Total production, marginal product, and
average product
• Firms create value by bringing together different
ingredients to create a good or service that consumers
want.
• A production function is the relationship between the
quantity of inputs and the resulting quantity of outputs.
• The increase in output that is generated by an
additional unit of input is the marginal product.
– The principle of diminishing marginal product states that
the marginal product of an input decreases as the quantity
of the input increases.
• The average product is total production divided by the
number of workers.
5© 2014 by McGraw-Hill Education 13
Total production and marginal product
This table provides the total production and marginal product from each
additional unit of labor.
Labor
(# employees)
Total production
(# pizzas)
Marginal product of labor
(# pizzas)
0
1
2
8
7
6
5
3
4
50
180
360
800
735
660
480
575
0
50
130
65
75
85
95
180
120
0
• The first three workers have an increasing marginal product. After three workers, each
additional worker contributes less to total production, reflected by decreasing marginal
product.
• Note that even though marginal product of labor is decreasing, total production is still rising.
© 2014 by McGraw-Hill Education 14
Active Learning: Total production,
marginal product, and average product
Fill in the table. At what point does marginal product start to
diminish?
Average productLabor
(# employees)
Total production
0
1
2
8
7
6
5
3
4
20
45
75
150
145
135
100
120
0
Marginal product
© 2014 by McGraw-Hill Education 15
Production function
• The production function can be represented visually.
• The marginal product is the slope of the total production curve.
0
100
200
300
400
500
600
700
800
900
1,000
2 4 6 8 10
Quantity of pizzas
Quantity of workers
Curve gets
steeper as
marginal
product
increases.
Curve flattens as
diminishing marginal
product kicks in.
Total
production
• When output is very low,
each additional worker
has a higher marginal
product than the
previous one.
• As more workers are
added, marginal product
starts to diminish.
6© 2014 by McGraw-Hill Education 16
Average and marginal product
• The principle of diminishing marginal product and average product
can be represented visually.
• This establishes the relationship between marginal and average
product.
Quantity of pizzas
Quantity of workers
Marginal
product
2. Eventually, marginal
product starts to
decrease.
1. Initially, adding more
workers increases
marginal product.
0
25
50
75
100
125
150
175
200
2 4 6 8 10
Average
product
• When an additional worker’s
marginal product is greater than
the existing average product, the
average product increases.
• When the marginal product curve
crosses the average product
curve, the average product also
starts to decrease.
• When an additional worker’s
marginal product is less than the
existing average product, the
average product decreases.
© 2014 by McGraw-Hill Education 17
Costs of production
• When a firm increases its output by adjusting its use of inputs, it
incurs the costs associated with that decision.
• The relationships between output and costs are:
Average fixed cost (AFC) = ி௫ௗ ௦௧ொ௨௧௧௬
Average variable cost (AVC) = ௦௧ொ௨௧௧௬
Average total cost (ATC) = ்௧ ௦௧௦ொ௨௧௧௬ = AFC + AVC
Marginal cost (MC) = ௧௧ ௦௧ ௨௧௧௬
© 2014 by McGraw-Hill Education 18
Costs of production
The table below provides the production and costs of a pizza joint that requires
a lease for $300 and wages for workers at $200 each.
0 0 300 0 300 – – –
6 660 300 0.45 1,200 1.82 1,500 2.27 85 2.35
9 855 300 0.35 1,800 2.11 2,100 2.46 55 3.67
10 900 300 0.33 2,000 2.22 2,300 2.55 45 4.44
8 800 300 0.38 1,600 2.00 1,900 2.38 65 3.08
7 735 300 0.41 1,400 1.90 1,700 2.31 75 2.67
5 575 300 0.52 1,100 1.74 1,300 2.26 95 2.11
4 480 300 0.63 800 1.67 1,100 2.30 120 1.61
3 360 300 0.83 600 1.67 900 2.50 180 1.11
2 180 300 1.67 400 2.22 700 3.89 130 1.54
1 50 300 6.00 200 4.00 500 10.00 50 4.00
––
Labor
(# workers)
Total
production
(# pizzas)
Fixed
costs
($)
Average
fixed costs
($/pizza)
Variable
costs
($)
Average
variable
costs
($/pizza)
Total
costs ($)
Average
total costs
($/pizza)
Marginal
product
(# pizzas)
Marginal
cost
($/pizza)
7© 2014 by McGraw-Hill Education 19
Cost curves
Cost functions can be represented visually.
0
500
1,000
1,500
2,000
2,500
200 400 600 800 1,000
Quantity of pizzas
TC
Cost ($)
FC
VC
Because of diminishing
marginal product, variable
costs increase more as each
additional pizza is added.
Fixed costs, on the other
hand, stay the same
regardless of how many
pizzas are produced.
The total cost curve is the
sum of variable and fixed
costs.
• The VC curve initially
becomes less steep,
reflecting the increasing
marginal product of the
first few employees.
• As the principle of
diminishing marginal
product kicks in, the
variable cost curve gets
gradually steeper.
• Adding FC and VC yields
TC.
© 2014 by McGraw-Hill Education 20
Cost curves
Average costs can be represented visually.
• AFC trends downward.
– Same cost spread out over
more units of output.
• AVC is U-shaped.
– First decreases and then
increases, reflecting the
marginal product of inputs.
• ATC curve is U-shaped.
– Decreases in AFC and
increases with AVC.0
1
2
3
4
5
6
7
8
9
10
200 400 600 800 1,000
Quantity of pizzas
ATC
AFC
AVC
Cost/pizza ($)
© 2014 by McGraw-Hill Education 21
Cost curves
Marginal cost can be represented visually.
• The MC curve is U-shaped
and is the inverse shape of
the marginal product
curve.
– Every additional unit of
input costs the same,
regardless of its
contribution to production.
– As marginal product of
labor initially increases, MC
decreases.
– As marginal product
diminishes, the MC
increases.
0.50
0
1.00
1.50
2.00
2.50
3.00
3.50
4.00
4.50
5.00
200 400 600 800 1,000
Quantity of pizzas
MC
Cost / pizza ($)
8© 2014 by McGraw-Hill Education 22
• When the MC of
producing another unit is
less than the ATC,
producing an extra unit
decreases the ATC.
• When the marginal cost of
producing another unit is
more than the average
total cost, producing an
extra unit will increase the
ATC.
• The MC curve intersects
the ATC curve at its lowest
point.
Marginal and average cost curves
0
1
2
3
4
5
6
7
8
9
10
500 1,000
Quantity of pizzas
MC
ATC
Cost/pizza ($)
The relationship between marginal and average
total cost can be established visually.
© 2014 by McGraw-Hill Education 23
Summarizing costs
The following summarizes various costs.
Cost
Total cost (TC)
The amount that a firm pays for all of the inputs
(fixed and variable) that go into producing
goods and services
Fixed cost (FC)
Costs that don’t depend on the quantity of
output produced
—
Variable cost (VC)
Costs that depend on the quantity of output
produced
—
Explicit cost Costs that require a firm to spend money —
Implicit cost Costs that represent forgone opportunities —
MC = DTC / DQ
ATC = TC / Q
AVC = VC / Q
AFC = FC / Q
TC = FC + VC
Total costs divided by the quantity of output
Variable costs divided by the quantity of
output
Fixed costs divided by the quantity of output
Average fixed costs
(AFC)
Average variable costs
(AVC)
Average total costs (ATC)
Marginal cost (MC) The additional cost incurred by a firm when it
produces one additional unit of output
Description Calculation
© 2014 by McGraw-Hill Education 24
Active Learning: Costs
Fill in the table, assuming that a lease for a building is $300 and
workers’ wages are $100 each.
0 0 – –
10 165
8 150
6 135
4 100
2 45
––
Labor
(# workers)
Total
production
(# pizzas)
Fixed
costs
($)
Average
fixed costs
($/pizza)
Variable
costs
($)
Average
variable
costs
($/pizza)
Total
costs ($)
Average
total costs
($/pizza)
Marginal
cost
($/pizza)
9© 2014 by McGraw-Hill Education 25
Costs in the long run
• Costs that are fixed may be adjusted in the long-run.
– For example, factory sizes can be adjusted to increase or
decrease capacity.
• In the short-run, fixed inputs can not be adjusted.
• The long-run is the time required for a firm to vary all of
its costs, if so desired.
– The long-run depends on firm and production types.
• The cost curves considered so far are short-run cost
curves.
• When a firm adjusts one of its long-run costs, the entire
fixed cost curve shifts, as it is more efficient and can
produce higher output.
© 2014 by McGraw-Hill Education 26
Returns to scale
• The relationship between costs and output is based on the
scale of production.
– The planet size or scale of production to produce a certain
amount of output.
• If increasing the scale of production to obtain higher output
lowers the minimum of the average total cost, then
economies of scale occur.
• If increasing the scale of production to obtain higher output
raises the minimum of the average total cost, then
diseconomies of scale occur.
• Constant returns to scale occur when the minimum of the
average total cost does not depend on the quantity of
output.
– When the average total cost is at its minimum, an efficient scale
is achieved.
© 2014 by McGraw-Hill Education 27
Active Learning: Economies and
diseconomies of scale
Match each segment of the long-run ATC with its respective scale
or production (economies, constant, and diseconomies).
Output
Average total cost Long-runATC
9/25/2014
1
© 2014 by McGraw‐Hill Education 28
Long‐run ATC
• Short‐run ATC curves
cover a smaller range of
output.
• By increasing or
decreasing scale of
production, firms can
move along the long‐run
ATC curve from one short‐
run ATC curve to another.
The long‐run ATC curve is constructed by combining all possible short‐
run ATC curves.
Short‐run ATC curves are identified by changing the scale of production.
Output
Long-run
ATC
Smaller firms Larger firms
Average total cost Short-run ATCs faced by firmsof varying sizes
© 2014 by McGraw‐Hill Education 29
Summary
• The pursuit of profits drives every firm’s
decision‐making process, including how much
to produce and whether to stay in business.
• Profit is the difference between cost and
revenues.
• This chapter investigates the relationships
between inputs, outputs, and costs by studying
a firm’s profitability.
© 2014 by McGraw‐Hill Education 30
Summary
• Fixed costs are those that don’t depend on the
quantity of output produced.
• Variable costs are those that do depend on the
quantity of output produced.
• Costs include both implicit and explicit costs.
• Firms are able to adjust scale of production over
time.
– Thus, some costs are fixed in the short run, but
become variable in the long run.
• A firm’s long‐run cost curve reflects the increased
flexibility of fixed costs.