ec 131 - principles of microeconomics · by inacio bo - [email protected] grades and etc • problem sets...
TRANSCRIPT
by Inacio Bo - [email protected]
EC 131 - PRINCIPLES OF MICROECONOMICS
Woods SchoolSummer 2013
Tuesday, June 25, 13
by Inacio Bo - [email protected]
GRADES AND ETC
• Grade
•Midterm Exam (July 11th) - 35%
• Final Exam (August 1st) - 50%
• Problem Sets (Aplia) - 15%
• Extra credit activities - Extra points
•No make-up exams
Tuesday, June 25, 13
by Inacio Bo - [email protected]
GRADES AND ETC
• Problem Sets
•One or two per week
• 1 - all problems submitted, at least 50% of the points
• 0.5 - all problems submitted, less than 50% of the points
• 0 - not all problems submitted
Tuesday, June 25, 13
by Inacio Bo - [email protected]
APLIA
• Instructions in the Syllabus
• Problems? Email or office-hours
•Deadlines are strictly enforced. Solve problems before them!
Tuesday, June 25, 13
by Inacio Bo - [email protected]
CONTACT AND OFFICE HOURS
• Read emails!
•Office Hours
• Tuesdays: 5:00 PM - 6:00 PM
• Thursdays: 1:00 PM - 2:00 PM
• http://www2.bc.edu/inacio-bo/ (Slides available after class)
Tuesday, June 25, 13
by Inacio Bo - [email protected]
“Social science which studies how society manages and allocates its scarce resources”
Tuesday, June 25, 13
by Inacio Bo - [email protected]
•How it does•Positive Economics•How it should•Normative Economics
Tuesday, June 25, 13
by Inacio Bo - [email protected]
• How markets work? How do they allocate resources?
•When do they fail? What can we do about it? What are the consequences when we do something about it?
MAIN QUESTION
Tuesday, June 25, 13
by Inacio Bo - [email protected]
CREATE BOSTON’S RESTAURANTS FROM SCRATCH
• Find land to plant produce and grow livestock
•Different kinds of vegetables need different kinds of land and climate
• Train and hire farmers
• Transportation
Tuesday, June 25, 13
by Inacio Bo - [email protected]
TRANSPORTATION
•Different kinds of trucks for different kinds of trucks
• Plan which vegetables, meat and spices go to each type of restaurant
• Choices must be consistent with timing, delivery of trucks, allowed times for truck traffic in different parts of the city
• Right amount of food to be delivered at each restaurant
•More than necessary: lose food
• Less than necessary: lose clients
Tuesday, June 25, 13
by Inacio Bo - [email protected]
MORE PLANNING
• Consider changes in demand for different times and conditions
•More ice-cream during summer
• Chinese food during spring festival
•No lunch for arabs during ramadan
• Kosher restaurants need different suppliers
Tuesday, June 25, 13
by Inacio Bo - [email protected]
WHO IS PLANNING?
•Nobody!
•Nobody plans, each one just takes care of their own interest but things seem to work out fine
• Free markets are surprisingly efficient in allocating goods and services to and from individuals
Tuesday, June 25, 13
by Inacio Bo - [email protected]
ECONOMICS
Economic History Econometrics Economic
Theory
Study economic
phenomena in the past
Application of math and statistics to economic data
Mathematical models of
economic subjects
Microeconomics
Macroeconomics
Tuesday, June 25, 13
by Inacio Bo - [email protected]
MICRO/MACROHousehold and
firms
Interactions between
households and firms
Markets
Interest rates
Inflation
Unemployment
Micro
Macro
Tuesday, June 25, 13
by Inacio Bo - [email protected]
MICROECONOMICS
• How consumers react to price changes
• How firms decide which price to change
•What is the most efficient way to reduce smoking or air pollution
• How individuals use information in their decisions
Tuesday, June 25, 13
by Inacio Bo - [email protected]
•Doesn’t mean becoming an evil individualist!
• It’s a more methodic and precise way to see the world around us
• It can help you see unexpected points of view on common subjects
Tuesday, June 25, 13
by Inacio Bo - [email protected]
• A consequence of the fact that resources are scarce
• “There’s no free lunch”
• To get things we like, we usually have to give up something we like.
• Students allocating their time
• The more I study economics, the less I can study psychology
• The more I study economics AND psychology, the less I can watch TV
TRADEOFFS
Tuesday, June 25, 13
by Inacio Bo - [email protected]
COSTS
• The cost of something is what you give up to get it
•What’s the cost of college?
• Tuition for money
• Books money
• Room money
•Dining plan
• Really?
Tuesday, June 25, 13
by Inacio Bo - [email protected]
COSTS
• If you quit school you still need a room to stay
• You would spend money in a room anyway
• You would still spend money on food
• Real cost of college housing: college housing - alternative housing
Tuesday, June 25, 13
by Inacio Bo - [email protected]
COSTS
•More importantly: your time!
• If not in college you could be working, earning $$$$$. For most students, this is the largest cost.
•Opportunity cost: what you give up to get that item.
•Opportunity cost for Tim Cook to go backpacking in Europe for one month
• Cost of backpacking in europe when you’re a student and when you’re an adult?
Tuesday, June 25, 13
by Inacio Bo - [email protected]
ECONOMIC MODELS
• Real-life economic interactions are very complex
• The bus driver may let his friend enter without paying
• A person may buy a gift to another because of friendship, love or second intentions
• People may go to college more because of the parties than because of a higher future income
• Impossible to take all effects into consideration and have something useful
Tuesday, June 25, 13
by Inacio Bo - [email protected]
SIMPLIFYING ASSUMPTIONS
•We can make simplified versions of what we’re trying to study
•When asking how long it would take for a marble ball to fall from a building, disregard air resistance
• Air effect is insignificant for our question
• If it is a piece of paper, air resistance is significant and that simplification isn’t adequate anymore
Tuesday, June 25, 13
by Inacio Bo - [email protected]
ECONOMIC MODELS
• A tool to learn something about the world, where by using some simplifying assumptions (what’s “truly important”) we are able to give better answers to some questions
Tuesday, June 25, 13
by Inacio Bo - [email protected]
ASSUMPTIONS
• Entire economy produces only two goods
• Pizzas
• Burritos
• Let economy have 10,000 workers and labor is all you need to produce them (Inputs)
• In one day, a worker produces 2 pizzas or 10 burritos (Technology)
Tuesday, June 25, 13
by Inacio Bo - [email protected]
• If all resources (workers) are devoted only to make pizzas, what does the economy produce?
• If all resources (workers) are devoted only to make burritos, what does the economy produce?
1 worker 1day
1 worker 1day
2 Pizzas
10 Burritos
2 x 10,000 = 20,000 pizzas and 0 burritos
10 x 10,000 = 100,000 burritos and 0 pizzas
Tuesday, June 25, 13
by Inacio Bo - [email protected]
1200 10 20 30 40 50 60 70 80 90 100 110
50
0
10
20
30
40
Burritos (B)
Pizz
as (
P)
PPF
12 B
A
Tuesday, June 25, 13
by Inacio Bo - [email protected]
1200 10 20 30 40 50 60 70 80 90 100 110
50
0
10
20
30
40
Burritos (B)
Pizz
as (
P)
PPF
12 B
A
Feasible combinations: inside and including PPF
Tuesday, June 25, 13
by Inacio Bo - [email protected]
1200 10 20 30 40 50 60 70 80 90 100 110
50
0
10
20
30
40
Burritos (B)
Pizz
as (
P)
PPF
12 B
A
Not Feasible combinations: outside PPF
Tuesday, June 25, 13
by Inacio Bo - [email protected]
1200 10 20 30 40 50 60 70 80 90 100 110
50
0
10
20
30
40
Burritos (B)
Pizz
as (
P)
PPF
12 B
A
Points inside PPF are inefficient: it is possibleto increase production of one good without
decreasing the production of the other
Tuesday, June 25, 13
by Inacio Bo - [email protected]
1200 10 20 30 40 50 60 70 80 90 100 110
50
0
10
20
30
40
Burritos (B)
Pizz
as (
P)
PPF
12 B
A
Points at the PPF are efficient: increases in the production of one good must come with the
reduction of the other.Efficient production induces a tradeoff.
Tuesday, June 25, 13
by Inacio Bo - [email protected]
1200 10 20 30 40 50 60 70 80 90 100 110
50
0
10
20
30
40
Burritos (B)
Pizz
as (
P)
PPF
12 B
A
Points at the PPF are efficient: increases in the production of one good must come with the
reduction of the other.Efficient production induces a tradeoff.
10,000 → 12,000 Pizzas50,000 → 40,000 Burritos
Tuesday, June 25, 13
by Inacio Bo - [email protected]
1200 10 20 30 40 50 60 70 80 90 100 110
50
0
10
20
30
40
Burritos (B)
Pizz
as (
P)
PPF
12 B
A
Q: What is the cost of producing 2,000 pizzas?
10,000 → 12,000 Pizzas50,000 → 40,000 Burritos
Tuesday, June 25, 13
by Inacio Bo - [email protected]
1200 10 20 30 40 50 60 70 80 90 100 110
50
0
10
20
30
40
Burritos (B)
Pizz
as (
P)
PPF
12 B
A
Q: What is the cost of producing 2,000 pizzas?A: 10,000 burritos
10,000 → 12,000 Pizzas50,000 → 40,000 Burritos
Tuesday, June 25, 13
by Inacio Bo - [email protected]
1200 10 20 30 40 50 60 70 80 90 100 110
50
0
10
20
30
40
Burritos (B)
Pizz
as (
P)
PPF
12 B
A
Q: What is the cost of producing 2,000 pizzas?A: 10,000 burritos
10,000 → 12,000 Pizzas50,000 → 40,000 Burritos
Opportunity cost of 2,000 pizzas is10,000 burritos
Tuesday, June 25, 13
by Inacio Bo - [email protected]
1200 10 20 30 40 50 60 70 80 90 100 110
50
0
10
20
30
40
Burritos (B)
Pizz
as (
P)
PPF
12 B
A
10,000 → 12,000 Pizzas50,000 → 40,000 Burritos
Opportunity cost of 2,000 pizzas is10,000 burritos
Opportunity cost of 1 pizza is5 burritos
Tuesday, June 25, 13
by Inacio Bo - [email protected]
1200 10 20 30 40 50 60 70 80 90 100 110
50
0
10
20
30
40
Burritos (B)
Pizz
as (
P)
PPF
12 B
A
10,000 → 12,000 Pizzas50,000 → 40,000 Burritos
Opportunity cost of 10,000 burritos is2,000 pizzas
Opportunity cost of 1 burrito is1/5 pizza
Tuesday, June 25, 13
by Inacio Bo - [email protected]
1200 10 20 30 40 50 60 70 80 90 100 110
50
0
10
20
30
40
Burritos (B)
Pizz
as (
P)
PPF
12 B
A
One is the inverse of the other (5 and 1/5).Not a coincidence!
Opportunity costs of two goods in this model are one the inverse of the
other.
Tuesday, June 25, 13
by Inacio Bo - [email protected]
1200 10 20 30 40 50 60 70 80 90 100 110
50
0
10
20
30
40
Burritos (B)
Pizz
as (
P)
PPF
12 B
A
Slope: 20
100=
1
5
Opportunity cost of good in the horizontal axis
Tuesday, June 25, 13
by Inacio Bo - [email protected]
1200 10 20 30 40 50 60 70 80 90 100 110
50
0
10
20
30
40
Burritos (B)
Pizz
as (
P)
PPF
12 B
A
Opportunity cost of good in the vertical axis:
1
Slope
Tuesday, June 25, 13
by Inacio Bo - [email protected]
1200 10 20 30 40 50 60 70 80 90 100 110
50
0
10
20
30
40
Burritos (B)
Pizz
as (
P)
22
Shift in the PPF: 1,000 more workers
Tuesday, June 25, 13
by Inacio Bo - [email protected]
1200 10 20 30 40 50 60 70 80 90 100 110
50
0
10
20
30
40
Burritos (B)
Pizz
as (
P)
22
Shift in the PPF: 1,000 more workers
Opportunity cost doesn’t change!
Tuesday, June 25, 13
by Inacio Bo - [email protected]
1200 10 20 30 40 50 60 70 80 90 100 110
50
0
10
20
30
40
Burritos (B)
Pizz
as (
P)
22
Improvement in pizza technology: each worker can now produce 5 pizzas per day
Tuesday, June 25, 13
by Inacio Bo - [email protected]
1200 10 20 30 40 50 60 70 80 90 100 110
50
0
10
20
30
40
Burritos (B)
Pizz
as (
P)
22
Improvement in pizza technology: each worker can now produce 5 pizzas per day
New Opportunity Costs:
Burrito =50
100=
1
2
Pizza =100
50= 2
Tuesday, June 25, 13
by Inacio Bo - [email protected]
•Economy we just studied had a linear PPF
•You can switch between pizzas and burritos at a constant rate
•Opportunity cost is constant along the PPF
Tuesday, June 25, 13
by Inacio Bo - [email protected]
•Think about alternative economy: iPhones and Burritos
•The input is still the same: labor
•Some workers are better at making iPhones (engineers) and others are better at making Burritos (cooks)
Tuesday, June 25, 13
by Inacio Bo - [email protected]
1200 10 20 30 40 50 60 70 80 90 100 110
50
0
10
20
30
40
Burritos (B)
iPho
nes
(I)
19
16
11
“Bowed-out” PPF
Tuesday, June 25, 13
by Inacio Bo - [email protected]
1200 10 20 30 40 50 60 70 80 90 100 110
50
0
10
20
30
40
Burritos (B)
iPho
nes
(I)
19
16
11
Everyone works making iPhones: 20 iPhones
Everyone works making burritos: 100 Burritos
Tuesday, June 25, 13
by Inacio Bo - [email protected]
1200 10 20 30 40 50 60 70 80 90 100 110
50
0
10
20
30
40
Burritos (B)
iPho
nes
(I)
19
16
11
Take the best cooks that are making iPhonesand put them to make Burritos
19 iPhones and 30 Burritos
Start from situation where all workers areproducing iPhones
Tuesday, June 25, 13
by Inacio Bo - [email protected]
1200 10 20 30 40 50 60 70 80 90 100 110
50
0
10
20
30
40
Burritos (B)
iPho
nes
(I)
19
16
11
Opportunity cost of 30 Burritos: 1 iPhone
Opportunity cost of 1Burrito: 1/30 iPhoneOpportunity cost of iPhone: 30 Burritos
Tuesday, June 25, 13
by Inacio Bo - [email protected]
1200 10 20 30 40 50 60 70 80 90 100 110
50
0
10
20
30
40
Burritos (B)
iPho
nes
(I)
19
16
11
Produce 20 more burritos. Some IT guysare allocated to mexican kitchens
11 iPhones and 80 Burritos
Now start from 60 Burritos /16 iPhones
Tuesday, June 25, 13
by Inacio Bo - [email protected]
1200 10 20 30 40 50 60 70 80 90 100 110
50
0
10
20
30
40
Burritos (B)
iPho
nes
(I)
19
16
11
Opportunity cost of 20 Burritos: 5 iPhones
Opportunity cost of 1Burrito: 1/4 iPhoneOpportunity cost of iPhone: 4 Burritos
↑↓
Tuesday, June 25, 13
by Inacio Bo - [email protected]
1200 10 20 30 40 50 60 70 80 90 100 110
50
0
10
20
30
40
Burritos (B)
iPho
nes
(I)
19
16
11
Indeed, slopes change
Steeper (high-value) slopes =
high opp cost for Burritoslow opp cost for iPhones
Tuesday, June 25, 13
by Inacio Bo - [email protected]
•Opportunity cost of iPhone is higher when many iPhones are produced (many cooks making iPhones)
•Opportunity cost of iPhone is low when economy is producing few iPhones (we can get the top engineers)
Tuesday, June 25, 13
by Inacio Bo - [email protected]
•1 - China: U$ 398 Billion
•2 - Canada: U$ 320 Billion
•3 - Mexico: U$ 262 Billion
Top sources of US imports (2011)
Tuesday, June 25, 13
by Inacio Bo - [email protected]
•1 - Canada: U$ 234 Billion
•2 - Mexico: U$ 160 Billion
•3 - China: U$ 97 Billion
Top destinations of US exports (2011)
Tuesday, June 25, 13
by Inacio Bo - [email protected]
• Two individuals
• A rancher, who can produce only meat
• A farmer, who can produce only potatoes
•Without trade, rancher eats only meat, farmer eats only potatoes
• They could trade and exchange some meat for potatoes, giving them a less boring meal. Both would be better off.
FIRST TRADE MODEL
Tuesday, June 25, 13
by Inacio Bo - [email protected]
•Mario and Luigi work 10h/day
•Mario: 1 pizza in 1:00h or 4 burritos in 1:00h
• Luigi: 3 pizzas in 1:00h or 6 burritos in 1:00h
• Luigi is more productive in both products! Can they still benefit from trade?
A LESS OBVIOUS EXAMPLE
Tuesday, June 25, 13
by Inacio Bo - [email protected]
800 10 20 30 40 50 60 70
50
0
2
4
6
8
10
12
14
16
18
20
22
24
26
28
30
32
34
36
38
40
42
44
46
48
Burritos
Pizz
asLuigi's PPF
Opp costs:Burritos=30/60=1/2
Pizza=2
Tuesday, June 25, 13
by Inacio Bo - [email protected]
800 10 20 30 40 50 60 70
50
0
2
4
6
8
10
12
14
16
18
20
22
24
26
28
30
32
34
36
38
40
42
44
46
48
Burritos
Pizz
asMario's PPF
Opp costs:Burritos=10/40=1/4
Pizza=4
Tuesday, June 25, 13
by Inacio Bo - [email protected]
Opp cost of Pizza Opp cost of Burrito
Mario
Luigi
4 Burritos 1/4 Pizza
2 Burritos 1/2 Pizza
Tuesday, June 25, 13
by Inacio Bo - [email protected]
•Luigi is currently producing 15 pizzas and 30 burritos (chosen based on his preferences)
•15 pizzas, 3 pizzas/h = 15/3 = 5h
•30 burritos, 6 burritos/h = 30/6 = 5h
• (5h,5h)=10h (Feasible and Efficient)
Tuesday, June 25, 13
by Inacio Bo - [email protected]
•Mario is currently producing 5 pizzas and 20 burritos (chosen based on his preferences)
•5 pizzas, 1 pizza/h = 5/1 = 5h
•20 burritos, 4 burritos/h = 20/4 = 5h
• (5h,5h)=10h (Feasible and Efficient)
Tuesday, June 25, 13
by Inacio Bo - [email protected]
•They could do the following:
•Mario spends all the 10h making burritos (20x4=40) and Luigi spends 2h making Burritos (2x6=12) and 8h making pizzas (8x3=24)
Tuesday, June 25, 13
by Inacio Bo - [email protected]
MarioMario LuigiLuigi
Pizzas Burritos Pizzas BurritosWithout trade Prod & Cons
With tradeProduction
With trade TradeWith tradeConsumption
Gains from Trade Increase
5 20 15 30
0 40 24 12
Get 6 Give 19 Give 6 Get 19
6 21 18 31
+1 +1 +3 +1
Tuesday, June 25, 13
by Inacio Bo - [email protected]
800 10 20 30 40 50 60 70
50
0
2
4
6
8
10
12
14
16
18
20
22
24
26
28
30
32
34
36
38
40
42
44
46
48
Burritos
Pizz
asLuigi's PPF
Luigi’s consumption after trade
Tuesday, June 25, 13
by Inacio Bo - [email protected]
Mario’s consumption after trade
800 10 20 30 40 50 60 70
50
0
2
4
6
8
10
12
14
16
18
20
22
24
26
28
30
32
34
36
38
40
42
44
46
48
Burritos
Pizz
asMario's PPF
Tuesday, June 25, 13
by Inacio Bo - [email protected]
What happened?
Opp cost of Pizza
Opp cost of Burrito
Mario
Luigi
4 Burritos 1/4 Pizza
2 Burritos 1/2 Pizza
Pizzas/h Burritos/h
Mario
Luigi
1 4
3 6
Luigi has absolute advantage over Mario in
the production of both goods
Absolute advantage: ability to produce more with the same inputs
Mario has comparative advantage over Luigi in the production of Burritos
Comparative advantage: ability to produce a good at a lower opportunity
cost
Tuesday, June 25, 13
by Inacio Bo - [email protected]
What happened?
Opp cost of Pizza
Opp cost of Burrito
Mario
Luigi
4 Burritos 1/4 Pizza
2 Burritos 1/2 Pizza
Mario has comparative advantage over Luigi in the production of Burritos
Since opportunity costs are inverses, one always has comparative advantage on one good! (Unless they have the same opportunity cost)
Luigi has comparative advantage over Mario in
the production of Pizzas
Tuesday, June 25, 13
by Inacio Bo - [email protected]
• Each one specialized on the good on which they have comparative advantage and then traded.
• Think about it: to obtain one more burrito, Luigi has to give up on 1/2 pizza.
• Mario can say “I can make that Burrito. Give me 1/3 of a pizza”.
• Mario can then reduce production of Pizza by 1/3. This allows him to increase production of Burritos by 4/3 (4 Burritos per pizza).
• Result: Luigi got his burrito for cheaper than 1/2 pizza and Mario had a “profit” of 1/3 burrito.
Tuesday, June 25, 13
by Inacio Bo - [email protected]
• It is possible for one person to have absolute advantage in both goods
• It is impossible for a person to have comparative advantage in both goods
• When does nobody have comparative advantage over the other? Only if both have the same opportunity costs
• Gains from specialization comes from comparative advantage, not absolute advantage.
• If opportunity costs differ, both can gain from specialization and trade.
Tuesday, June 25, 13
by Inacio Bo - [email protected]
•Which trades will make both better off?
• Let’s look back at the trade between Mario and Luigi
PRICE OF TRADE
Tuesday, June 25, 13
by Inacio Bo - [email protected]
MarioMario LuigiLuigi
Pizzas Burritos Pizzas BurritosWithout trade Prod & Cons
With tradeProduction
With trade TradeWith tradeConsumption
Gains from Trade Increase
5 20 15 30
0 40 24 12
Get 6 Give 19 Give 6 Get 19
6 21 18 31
+1 +1 +3 +1
Mario gave 19 Burritos and got 6 pizzasEach pizza cost 19/6=3.17 burritos
Luigi gave 6 pizzas and got 19 BurritosEach burrito cost 6/19=0.31 pizza
Tuesday, June 25, 13
by Inacio Bo - [email protected]
MarioMario LuigiLuigi
Pizzas Burritos Pizzas BurritosWithout trade Prod & Cons
With tradeProduction
With trade TradeWith tradeConsumption
Gains from Trade Increase
5 20 15 30
0 40 24 12
Get 6 Give 19 Give 6 Get 19
6 21 18 31
+1 +1 +3 +1
Each pizza cost 19/6=3.17 burritos
Each burrito cost 6/19=0.31 pizza
Opp cost of Pizza
Opp cost of Burrito
Mario
Luigi
4 Burritos 1/4 Pizza
2 Burritos 1/2 Pizza
Tuesday, June 25, 13
by Inacio Bo - [email protected]
Pizza between 2 and 4 burritos
Burrito between 1/4 and 1/2 pizza
Opp cost of Pizza
Opp cost of Burrito
Mario
Luigi
4 Burritos 1/4 Pizza
2 Burritos 1/2 Pizza
Any trade made at a price between bothopportunity costs is beneficial.
Tuesday, June 25, 13
by Inacio Bo - [email protected]
INTERNATIONAL TRADE
• Just as people can benefit from specialization and trade, so can different countries
• That’s why the US sells and buys so much from the same countries: trading is a game in which both can be made better off
• Comparative advantage theory says that if each good is produced at the country with comparative advantage in that good every country can then benefit from trade
• Trade among nations has more complex issues, since some individuals can be made worse off though the country as a whole is better off.
• Example: if country specializes in Burritos, pizza makers may lose their jobs.
Tuesday, June 25, 13
by Inacio Bo - [email protected]
INTERNATIONAL TRADE
• Imports: goods produced abroad and sold domestically
• Exports: goods produced domestically and sold abroad
Tuesday, June 25, 13
by Inacio Bo - [email protected]
BOWED-OUT PPF AND TRADE
• Can two countries with the same exact PPF be better-off by trade?
• Yes if they are bowed-out PPFs!
Tuesday, June 25, 13
by Inacio Bo - [email protected]
1000 10 20 30 40 50 60 70 80 90
100
0
10
20
30
40
50
60
70
80
90
Burritos
Pizzas
A
B
X
Tuesday, June 25, 13
by Inacio Bo - [email protected]
1000 10 20 30 40 50 60 70 80 90
100
0
10
20
30
40
50
60
70
80
90
Burritos
Pizzas
A
B
X
Tuesday, June 25, 13
by Inacio Bo - [email protected]
1000 10 20 30 40 50 60 70 80 90
100
0
10
20
30
40
50
60
70
80
90
Burritos
Pizz
as
A
B
X
A'
B'
A's Exports
A's ImportsB's Imports
B's Exports
Tuesday, June 25, 13
by Inacio Bo - [email protected]
FOR NEXT CLASS
• Catch-up readings: Chapters 2 and 3
•Next lecture readings: Chapter 4
• Problem set is available and due next Tuesday
Tuesday, June 25, 13