Chapter 1. Chapter 20, Problem 15

Step 1

Work It Out
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You must read each slide, and complete any questions on the slide, in sequence.

Question

Assume Saudi Arabia and the United States face the production possibilities for oil and cars shown in the table.

Saudi Arabia United States
Quantity of oil
(millions of barrels)
Quantity of cars
(millions)
Quantity of oil
(millions of barrels)
Quantity of cars
(millions)
0 4 0 10.0
200 3 100 7.5
400 2 200 5.0
600 1 300 2.5
800 0 400 0
Table

Calculate the following opportunity costs:

The opportunity cost of producing a car in Saudi Arabia is ygJZKffxRWs= million barrels of oil.

The opportunity cost of producing a car in the United States is tBxBgtJuS+A= million barrels of oil.

The opportunity cost of producing a barrel of oil in Saudi Arabia is Q5UAL3taN+PSpeYYrb0SOQ== of a car (in decimal form). Round your answer to three decimal places.

The opportunity cost of producing a barrel of oil in the United States is 4PL/iF6Mn43mIK5c/PdIlQ== of a car (in decimal form). Round your answer to three decimal places.

In Saudi Arabia 1 million cars can be produced by giving up production of 200 million barrels of oil. So the opportunity cost of 1 car in Saudi Arabia is 200 million barrels of oil.

The opportunity cost of producing 2.5 million cars in the United States is 100 million barrels of oil. So the opportunity cost of 1 car is equal to 100 million/2.5 million = 40 million barrels of oil.

The opportunity cost of producing 1 barrel of oil in Saudi Arabia is 0.005 of a car.

The opportunity cost of producing 1 barrel of oil in the United States is 0.025 of a car.

For review see section “Production Possibilities and Comparative Advantage, Revisited”
Calculate the following opportunity costs:
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Step 2

Question

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Step 3

Question

OyjP9CQ/SAEChhNTh7/gp5A6WxfAU1Zj+M5hzrggjabsZtDkU3N9yVUNlk5i+dZSN11mhw0gg4msqB8oioHjJDtKIXe5t1HFueUJRyduwVPc/S3wbzHsHbWsPPN+O2JiKXqs80RoUjqTonIb7khodu+BpFSsh8KxtWoIG4hWjazAWvljQrzp8t+7a03/619dRYnPIjkyovQTlPfnelkqMRG/ClDEo5X/Vjm3crRI6oE7sguKWcYRfjbtlUxvyjx+c1f/LteIVxcafRgaoppIU5eE1Nt6oQ7OukekJvzkWAKRIF/oHzbrGEIL67QudfI6cCFevnNiMuXhQr9ParkL7FTnw8ZLdxutf9t2yzX8mSrKpf1LKayb0bScTXH2J2IfNhp7W99E7tutx0q4vIcyZLbJxdgDxOf7vOadPJCJfBP60ChfKK+G6quEzzs=
In autarky, Saudi Arabia cannot produce both more oil and more cars. If Saudi Arabia produces 200 million barrels of oil and 3 million cars, it is on its production possibility frontier. This means that it can produce more oil only if it produces fewer cars. The same is true for the United States. For further review see section “Production Possibilities and Comparative Advantage, Revisited”.
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Step 4

Question

Now suppose now that the United States and Saudi Arabia specialize in producing the good for which it has the comparative advantage, and the two countries trade. Also assume that for each country the value of imports must equal the value of exports.Calculate the following:

What is the total quantity of oil produced by both countries?

7JUzb26ajDA= million barrels of oil

What is the total quantity of cars produced by both countries?

Pz2PEfhsNWI= million cars

If each country specializes, Saudi Arabia will produce 800 million barrels of oil 0 cars and the United States will produce 10 million cars 0 barrels of oil. For further review see section “The Gains from International Trade”.
What is the total quantity of oil produced by both countries? What is the total quantity of cars produced by both countries?
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Step 5

Question

True or False: It is possible for both Saudi Arabia and the United States to consume 400 million barrels of oil and 5 million cars? 3AbITtEeto760gzm+lCQjA==

True, it is possible for both Saudi Arabia and the United States to consume 400 million barrels of oil (for a total of 800 million barrels). And it is possible for both countries to consume 5 million cars and for the United States to consume 5 million cars (for a total of 10 million cars). For further review see section “The Gains from International Trade”.
True or False: It is possible for both Saudi Arabia and the United States to consume 400 million barrels of oil and 5 million cars?
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Step 6

Question

Suppose that, in fact, Saudi Arabia consumes 300 million barrels of oil and 4 million cars and the United States consumes 500 million barrels of oil and 6 million cars.

How many barrels of oil does the United States import?

poG0pQg2yAs= million barrels

How many cars does the United States export?

h4XZagboIgc= million cars

Suppose a car costs $10,000 on the world market. How much, then, does a barrel of oil cost on the world market?

$ rU5mRKORFp4=

Since the United States does not produce oil they must have imported 500 million barrels of oil from Saudi Arabia. Since Saudi Arabia does not produce cars they must have imported 4 million cars from the United States. That is the United States and Saudi Arabia exchange 4 million cars and 500 million barrels of oil. Which implies each car trades for 125 barrels of oil (500 million barrels /4 million = 125). If a car costs $10,000 on the world market, then a barrel of oil costs $80 ($10,000/125 = $80).For further review see section “The Gains from International Trade”.
How many barrels of oil does the United States import? How many cars does the United States export? Suppose a car costs $10,000 on the world market. How much, then, does a barrel of oil cost on the world market?
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