Mastering Production Possibilities And Comparative Advantage Dynamics Practice Tests

Question 1

An economy produces two goods, $X$ and $Y$, with a linear PPF defined by the equation $2X + 4Y = 100$. What is the opportunity cost of producing one additional unit of $X$?

Accepted Answer

0.5 units of $Y$

Answer

2 units of $Y$

Answer

4 units of $Y$

Answer

25 units of $Y$

Question 2

A firm shifts production from point $A$ $(X=10, Y=50)$ to point $B$ $(X=20, Y=30)$ on a linear PPF. Calculate the opportunity cost of producing one unit of $X$.

Accepted Answer

2 units of $Y$

Question 3

If a production point $(X, Y)$ satisfies the inequality $ax + by < C$ where $ax + by = C$ is the boundary of the PPF, the production point is considered efficient.

Accepted Answer

False

Answer

True

Question 4

Which of the following best describes the mathematical implication of a concave (bowed-out) PPF compared to a linear one?

Accepted Answer

The opportunity cost of producing $X$ increases as more $X$ is produced.

Answer

The opportunity cost of producing $X$ remains constant.

Answer

The opportunity cost of producing $X$ decreases as more $X$ is produced.

Answer

The total production capacity $C$ changes based on the output mix.

Question 5

Given a production function $Y = 100 - X^2$, which of the following statements are true regarding the opportunity cost of $X$?

Answer

The opportunity cost of $X$ is constant at 100.

Answer

The opportunity cost of $X$ is given by $|\frac{dY}{dX}| = 2X$.

Answer

The opportunity cost of $X$ is not constant.

Answer

The opportunity cost of $X$ is equal to the total output $Y$.

Question 6

A country can produce either $100$ units of food or $50$ units of machinery. Assuming a linear PPF, calculate the opportunity cost of producing $1$ unit of machinery.

Accepted Answer

2 units of food

Question 7

If the PPF is defined by $X^2 + Y^2 = R^2$, what is the opportunity cost of $X$ when $X = \frac{R}{2}$?

Accepted Answer

$\frac{1}{\sqrt{3}}$

Answer

$\frac{1}{2}$

Answer

$\sqrt{3}$

Answer

$1$

Question 8

Entity A produces 12 units of $X$ per hour, while Entity B produces 8 units of $X$ per hour. If both entities work for 5 hours, calculate the absolute advantage in total output for $X$.

Accepted Answer

Entity A has an absolute advantage of 20 units.

Answer

Entity A has an absolute advantage of 4 units.

Answer

Entity B has an absolute advantage of 20 units.

Answer

Neither entity has an absolute advantage.

Question 9

Worker 1 can produce 10 units of $A$ or 5 units of $B$ in one hour. Worker 2 can produce 8 units of $A$ or 2 units of $B$ in one hour. Determine who has the comparative advantage in producing $B$.

Accepted Answer

Worker 1

Answer

Worker 2

Answer

Both have the same comparative advantage

Answer

Neither has a comparative advantage

Question 10

If a CEO can perform a task in 1 hour that takes a consultant 4 hours, and the CEO's hourly rate is $10,000 while the consultant's is $100, the CEO should perform the task to maintain absolute advantage.

Accepted Answer

False

Answer

True

Question 11

Firm X produces 20 units of $Y$ or 10 units of $Z$ per day. Firm Y produces 30 units of $Y$ or 15 units of $Z$ per day. Calculate the opportunity cost of producing 1 unit of $Z$ for Firm Y.

Accepted Answer

2 units of $Y$

Question 12

Given the production possibilities: Person A produces 4 units of $P$ or 8 units of $Q$. Person B produces 6 units of $P$ or 6 units of $Q$. Who has the comparative advantage in $P$?

Accepted Answer

Person B

Answer

Person A

Answer

Both

Answer

Neither

Question 13

Which of the following statements are mathematically true regarding comparative advantage?

Answer

Comparative advantage is determined by comparing opportunity costs.

Answer

Absolute advantage is a prerequisite for comparative advantage.

Answer

It is possible for one entity to have a comparative advantage in one good while the other entity has it in the other.

Answer

The entity with the highest output always has the comparative advantage.

Question 14

An executive earns €500/hr and a junior assistant earns €50/hr. The executive can clear a backlog of emails in 2 hours, while the assistant takes 10 hours. Calculate the total cost of the task if the executive does it versus if the assistant does it.

Accepted Answer

Executive: €1,000; Assistant: €500

Question 15

Country A produces 10 units of X or 5 units of Y per hour. Country B produces 2 units of X or 4 units of Y per hour. If both countries specialize according to comparative advantage, what is the total hourly output of X and Y combined compared to a scenario where each country spends half its time on each good?

Accepted Answer

Total output increases by 3 units

Answer

Total output remains unchanged

Answer

Total output decreases by 1.5 units

Answer

Total output increases by 5 units

Question 16

If the opportunity cost of producing 1 unit of Good A is 0.5 units of Good B for Country 1, and 2 units of Good B for Country 2, calculate the range of the terms of trade (price of Good A in terms of Good B) that would make trade mutually beneficial.

Accepted Answer

0.5 < P < 2

Question 17

If a proposed trade ratio for Good X in terms of Good Y is exactly equal to the opportunity cost of the exporting country, the exporter will experience a net gain in consumption possibilities.

Accepted Answer

False

Answer

True

Question 18

Consider a model where the U.S. manufacturing sector faces a comparative disadvantage. If the U.S. shifts toward a service-based economy due to trade, what is the expected long-run impact on aggregate real income?

Accepted Answer

Aggregate real income increases

Answer

Aggregate real income decreases

Answer

Aggregate real income remains stagnant

Answer

Aggregate real income becomes volatile

Question 19

Country Alpha can produce 10 units of Good Z or 20 units of Good W. Country Beta can produce 5 units of Good Z or 5 units of Good W. Calculate the opportunity cost of producing 1 unit of Good Z for Country Alpha.

Accepted Answer

2 units of Good W

Question 20

Which of the following scenarios represent conditions where trade might be politically controversial despite aggregate gains?

Answer

Significant job losses in import-competing industries

Answer

Short-run wage stagnation for low-skilled workers in specific sectors

Answer

A decrease in the total global production possibility frontier

Answer

An increase in the variety of goods available to consumers

Mastering Production Possibilities And Comparative Advantage Dynamics Practice Tests

Practice Tests

Mastering Production Possibilities and Comparative Advantage Dynamics

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