How to Solve Comparative Advantage Questions

TL;DR

Organize production or time data in a chart, identify whether the problem uses outputs or inputs, and calculate per-unit opportunity costs before assigning specialization. Comparative advantage belongs to the producer with the lower opportunity cost, while absolute advantage reflects greater output or less required time. Supply and demand curves shift only because of relevant shifters, not because the product’s own price changes.

Transcript

hey econ students this is Jacob Clifford welcome to unit one practice questions number two so you know how it works you've already filled out the ultimate review packet you understand the concepts now it's time to actually go and practice them all right so what I want you to do right now answer the questions if you need more help click on the learn... Read More

Key Insights

• Output questions compare how much each producer can make, and larger production numbers indicate absolute advantage. Brazil can produce 20 tons of wheat compared with Peru’s 10 tons, so Brazil, not Peru, has the absolute advantage in wheat production.
• Absolute advantage and comparative advantage are different concepts. Absolute advantage identifies who produces more output or completes a task with fewer inputs, while comparative advantage identifies who has the lower opportunity cost for producing a particular good or completing a particular task.
• Brazil’s opportunity cost of producing one ton of wheat is three halves tons of sugar. Brazil can produce either 30 tons of sugar or 20 tons of wheat, so converting those totals into per-unit costs makes the tradeoff directly comparable with Peru’s tradeoff.
• Peru’s opportunity cost of producing one ton of sugar is one half ton of wheat. Since Brazil gives up two thirds of a ton of wheat for one ton of sugar, Peru has the lower opportunity cost and therefore the comparative advantage in sugar.
• Specialization assigns wheat production to Brazil and sugar production to Peru. Brazil gives up three halves tons of sugar per ton of wheat, compared with Peru’s two tons, so Brazil has comparative advantage in wheat and both countries can benefit through trade.
• Mutually beneficial terms of trade must fall between the countries’ opportunity costs. For one ton of wheat, the acceptable range is between three halves and two tons of sugar, and a rate such as 1.75 tons of sugar allows both countries to trade below their own production cost.
• Input questions favor smaller numbers because they measure resources such as time, workers, or land. Kevin takes 15 minutes to wash dishes and 30 minutes to vacuum, while Hannah takes 30 and 40 minutes, giving Kevin absolute advantage in both household tasks.
• A product’s own price does not shift its demand or supply curve. It changes quantity demanded or quantity supplied along the curve. Apple demand can shift because of substitutes, income, preferences, or health research, while higher car-worker wages can shift car supply leftward.

Questions & Answers

Q: How do you distinguish output questions from input questions?

An output question describes quantities that producers can make, such as tons of sugar or wheat. Higher output is better when identifying absolute advantage. An input question describes resources needed, such as minutes, workers, or land. Lower input is better because using fewer resources is preferable. Organizing the information in a chart helps keep the two methods separate.

Q: What is the difference between absolute and comparative advantage?

Absolute advantage identifies the producer who can make more output or use less input. Comparative advantage identifies the producer with the lower opportunity cost. Brazil has an absolute advantage over Peru in wheat because it can produce 20 tons instead of 10, but comparative advantage requires calculating how much of the alternative good each producer gives up.

Q: How do you calculate Brazil’s opportunity cost for sugar and wheat?

Brazil can produce 30 tons of sugar or 20 tons of wheat. Dividing the alternative output by the chosen output shows that one ton of sugar costs two thirds of a ton of wheat. Reversing the calculation shows that one ton of wheat costs three halves tons of sugar. These per-unit costs support direct comparison with Peru.

Q: Which goods should Brazil and Peru specialize in producing?

Brazil should specialize in wheat, and Peru should specialize in sugar. Brazil gives up three halves tons of sugar for one ton of wheat, while Peru gives up two tons, so Brazil has the lower wheat cost. Peru gives up one half ton of wheat for one ton of sugar, below Brazil’s two thirds cost.

Q: What terms of trade benefit both Brazil and Peru?

A trade involving one ton of wheat must exchange for a quantity of sugar between three halves and two tons. Those endpoints reflect the countries’ opportunity costs. A rate such as 1.75 tons of sugar for one ton of wheat can benefit both countries because each receives the traded good at a lower cost than producing it independently.

Q: How should Hannah and Kevin divide washing and vacuuming?

Kevin should wash the dishes, and Hannah should vacuum. Kevin takes 15 minutes to wash dishes and Hannah takes 40 minutes to vacuum, producing a combined total of 55 minutes. The alternative assignment, Hannah washing for 30 minutes and Kevin vacuuming for 30 minutes, totals 60 minutes. The first assignment therefore minimizes total time.

Q: What changes the demand for apples in the practice question?

The price of apples does not change demand because a change in the product’s own price changes quantity demanded rather than shifting the entire curve. Apple demand can shift when the price of a close substitute increases, consumer incomes change, consumers prefer fewer apples, or research identifies health benefits associated with apples.

Q: Why would higher worker wages shift the supply of cars leftward?

Higher wages for workers who make cars increase the price of a key production resource. Producers consequently cannot produce as much as before, so the entire supply curve shifts leftward. A change in consumer income affects demand instead, while improved steel production or lower prices for car components would increase supply and shift the curve rightward.

Summary & Key Takeaways

• Brazil can produce 30 tons of sugar or 20 tons of wheat, while Peru can produce 20 tons of sugar or 10 tons of wheat. Brazil’s opportunity cost of one ton of wheat is three halves tons of sugar, while Peru’s is two tons, giving Brazil comparative advantage in wheat and Peru in sugar.

• Input questions reward lower numbers because fewer minutes, workers, or other resources are preferable. Hannah needs 30 minutes to wash dishes and 40 minutes to vacuum, while Kevin needs 15 and 30 minutes. Kevin has absolute advantage in both tasks, but specialization assigns washing to Kevin and vacuuming to Hannah.

• Demand changes when a nonprice shifter moves the entire curve, while a change in the product’s own price changes quantity demanded. For apples, substitutes, income, preferences, and health research can shift demand, but the price of apples cannot. Higher worker wages can shift the supply of cars leftward.