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Title: Graphish: The Language of Graphs


1
GraphishThe Language of Graphs
  • Chapter 2 Appendix

2
Horizontal Number Line
3
Vertical Number Line
4
Coordinate System
B
(1, 20)
A
(4, 5)
1
2 3
4
5
5
From Table to Graph
3.00
2.50
2.00
Price of pens (in dollars)
1.50
1.00
.50
0
1 2 3 4 5 6 7 8
Quantity of pens bought
6
Nonlinear Curve
6

5

Price (in dollars)
4
3
2
1
0
10
20
30
40
Quantity
7
Slopes of Curves
c
10
Slope 1
9
d
Rise 1
A
8

Slope 4
Run 1
Slope -4
7
Rise 4
6
Rise -4
5
B
4
Run 1
Run 1
e
Slope -0.5
3
L
a
Rise -1
2
Slope 1
Run 2
E
b

1
Rise 1
e
Run 1
0
L
1 2 3 4 5
6 7 8 9 10 11
8
Inverse and Direct Relationships
Direct relationship When X goes up, Y goes
up When X goes down, Y goes down
Inverse relationship When X goes up, Y goes
down When X goes down, Y goes up
X
X
Y
Y
9
Maximum Point
Slope 0
10
Maximum and Minimum Points
Slope 0
11
Presenting Information Visually
12
The Importance of Scales
14,000
13,000
Income (in dollars)
Income (in dollars)
12,000
11,000
10,000

1992 1994 1996
1992 1994 1996
(b) Income over time (2)
(a) Income over time (1)
13
Chapter Two Definitions
  • Land - All natural resources, such as minerals,
    forests, water and unimproved land.
  • Labor - The physical and mental talents people
    contribute to the production process.
  • Capital - Produced goods that can be used as
    inputs for further production, such as factories,
    machinery, tools, computers and buildings.
  • Entrepreneurship - The particular talent that
    some people have for organizing the resources of
    land, labor and capital to produce goods, seek
    new business opportunities, and develop new ways
    of doing things.
  • Production - The conversion of labor, land,
    capital, and entrepreneurial ability into goods
    and services.
  • Production Possibilities Curve - is a curve
    measuring the maximum combinations of outputs
    that can be obtained from a given number of
    inputs.

14
Chapter Two Definitions, Cont.
  • Production efficiency - achieving as much output
    as possible from a given amount of inputs or
    resources.
  • Inefficiency - getting less output from inputs
    which, if devoted to some other activity, would
    produce more output.
  • Principle of increasing marginal opportunity cost
    - in order to get more of something, one must
    give up ever-increasing quantities of something
    else.

15
Interdependence and the Gains from Trade
  • David Ricardo (1772-1823) and the Principle of
    Comparative Advantage
  • Absolute advantage - the comparison among
    producers of a good according to their
    productivity.
  • Comparative advantage - the comparison among
    producers of a good according to their
    opportunity cost.

16
England may be so circumstanced, that to produce
the cloth may require the labour of 100 men for
one year and if she attempted to make the wine,
it might require the labour of 120 men for the
same time. England would therefore find it her
interest to import wine, and to purchase it by
the exportation of cloth. To produce wine in
Portugal, might require only the labour of 80 men
for one year, and to produce the cloth in the
same country, might require the labour of 90 men
for the same time. It would therefore be
advantageous for her to export wine in exchange
for cloth. Ricardo (1817) as reprinted in
McCulloch (1888, p. 76-77)
17
This exchange might even take place,
notwithstanding that the commodity imported by
Portugal could be produced with less labour than
in England. Though she could make the cloth with
the labour of 90 men, she would import it from a
country where it required the labour of 100 men
to produce it, because it would be advantageous
to her rather to employ her capital in the
production of wine, for which she would obtain
more cloth from England, than she could produce
by diverting a portion of her capital from the
cultivation of vines to the manufacture of
cloth.(Ricardo (1817) as reprinted in McCulloch
(1888, p. 76-77).
18
Ricardo, the numbers
  • Nation Wine Cloth
  • England 120 100
  • Portugal 80 90
  • In Ricardos example, Portugal has an absolute
    advantage with respect to both goods. However,
    Portugals comparative advantage only lies in the
    production of wine.

19
Steps in solving Ricardos Problem
  • Given Two nations, two commodities, the amount
    of labor each nation requires to produce each
    good.
  • Determine
  • Who has an absolute advantage?
  • Where is each nations comparative advantage?
  • What is the cost of producing each good, in terms
    of the other good the nation could produce?
  • Given The amount of labor each nation employs,
    the terms of trade each nation faces
    internationally.
  • Determine
  • What is the maximum amount of each good the
    nation could produce?
  • How much of the comparatively disadvantaged good
    could a nation purchase if it trades?
  • If you can answer these five questions, you
    understand Ricardos free trade example.

20
Example Part (1)
  • Nation Wine Fish
  • Russia 50 10
  • France 60 300
  • Who has an absolute advantage? Russia in both
    goods.
  • What is each nations comparative advantage?
  • Russia is better at Fish production (relative to
    wine production).
  • France is better at Wine production (relative to
    fish production).
  • What is the cost of producing each good, in terms
    of the other good the nation could produce?
  • Russia needs to give up five units of Fish to
    produce one unit of wine, because one unit of
    wine requires 50 units of labor. 50 units of
    Russian labor would produce 5 units of Fish.
  • France needs to give up five units of Wine to
    produce one unit of Fish, because one unit of
    Fish requires 300 units of labor. 300 units of
    French labor would produce 5 units of Wine.

21
Example Part (2)
  • If Russia has 6,000 units of labor, how much Wine
    and Fish could Russia produce? If Russia
    produced no Wine, it could produce 600 Fish. If
    Russia produced no Fish, it could produce 120
    units of Wine.
  • If France has 6,000 units of labor, how much Wine
    and Fish could the French produce? If France
    produced no Wine, it could produce 20 units of
    Fish. If France produced no Fish, it could
    produce 100 units of Wine.
  • Given 2 units of Fish trade for 1 unit of Wine.
  • How much more Wine can Russia consume if trades
    freely with France? If Russia trades it produces
    600 units of Fish. If two units of Fish trade
    for 1 unit of Wine, 600 units of Fish trade for
    300 units of Wine. Without trade Russia can only
    have 120 units of Wine. So with trade Russia
    could have 180 more units of Wine.

22
Ricardos conclusions
  • Comparative advantage, not absolute advantage,
    determines the pattern of trade.
  • Free trade benefits every nation by expanding
    each nations consumption possibilities beyond
    its production possibilities.
  • NOTE Free trade benefits every nation but not
    everybody in every nation.

23
Chapter Two Definitions, Cont.
  • Feudalism - an economic system in which
    traditions rule.
  • Mercantilism - an economic system in which the
    government determines the allocation of resources
    by assigning the rights to certain economic
    activities.
  • Capitalism -an economic system based upon private
    property and the market in which, in principle,
    individuals answer the basic questions of the
    economic system.
  • Socialism (according to Marx) - an economic
    system where the incentive system of capitalism
    remains in place, but the workers own the means
    of production.
  • Socialism (as it is practiced) - an economic
    system where the four economic questions are
    primarily addressed by government actions, not
    unregulated market forces.
  • Mixed Capitalism - an economics system
    characterized by largely private ownership of the
    factors of production, market allocation of
    resources, and decentralized decision making.
    Most economic activities take place in the
    private sector in this system, but government
    plays a substantial economic and regulatory role.

24
The U.S. Economy
25
Economic Actors
  • Households - group of individuals living together
    and making joint decisions.
  • Consumer sovereignty - the consumers wishes
    dictate what will be produced.
  • Business - private producing units in our
    society.
  • Profit Total Revenue - Total Cost
  • Sole proprietorships - businesses that have only
    one owner.
  • Partnerships - businesses with two or more
    owners.
  • Corporations - businesses that are treated as a
    person, that are legally owned by stockholders,
    who are not liable for the actions of the firms.

26
Forms of Business
By Numbers
By Receipts
Sole proprietorships (72)
Corporations (86)
27
Income of State and Local Government
Intergovernmental (22)
Property tax (20)
Other (20)
Individual and corporate income tax (20)
Sales or gross receipts (20)
28
Expenditures of State and Local Government
Central government administration (10)
Transportation (7)
Other (21)
Civilian safety (14)
Health and Hospitals (21)
Public welfare (9)
Education (37)
29
Income of the Federal Government
Social security taxes and contributions (30)
Individual income taxes (50)
Corporate income taxes (8)
Excise taxes and other (6)
30
Expenditures of the Federal Government
Health and education (26)
Interest (13)
Other (11)
National defense (18)
Income security (33)
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