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A small country’s demand curve is given by Q=36-2P and its supply curve is given by Q=4P-12. Assume the world is currently in free trade and that the price under free trade is $4. What is the size of the import quota that, when introduced, would be equivalent (i.e. have the same impact on price and quantity) to the introduction of a $2 specific import tariff? Group of answer choices 35 26 12 13

Question

A small country’s demand curve is given by Q=36-2P and its supply curve is given by Q=4P-12. Assume the world is currently in free trade and that the price under free trade is 4.Whatisthesizeoftheimportquotathat,whenintroduced,wouldbeequivalent(i.e.havethesameimpactonpriceandquantity)totheintroductionofa4. What is the size of the import quota that, when introduced, would be equivalent (i.e. have the same impact on price and quantity) to the introduction of a 2 specific import tariff? Group of answer choices

35

26

12

13

...expand
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Solution

To solve this problem, we first need to find the quantity demanded and supplied at the free trade price of $4.

The demand curve is given by Q = 36 - 2P. Substituting P = 4, we get Q = 36 - 2*4 = 28. So, the quantity demanded at the free trade price is 28.

The supply curve is given by Q = 4P - 12. Substituting P = 4, we get Q = 4*4 - 12 = 4. So, the quantity supplied at the free trade price is 4.

The difference between the quantity demanded and supplied is the quantity imported, which is 28 - 4 = 24.

Now, let's find the quantity demanded and supplied at the tariff-inclusive price of 6(originalpriceof6 (original price of 4 plus the tariff of $2).

Substituting P = 6 in the demand curve, we get Q = 36 - 2*6 = 24. So, the quantity demanded at the tariff-inclusive price is 24.

Substituting P = 6 in the supply curve, we get Q = 4*6 - 12 = 12. So, the quantity supplied at the tariff-inclusive price is 12.

The difference between the quantity demanded and supplied is the quantity imported with the tariff, which is 24 - 12 = 12.

So, the size of the import quota that would have the same impact as the introduction of a $2 specific import tariff is 12. Therefore, the correct answer is 12.

This problem has been solved

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