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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 prohibitive specific import tariff for this economy (i.e. the tariff that would reduce net exports to zero)?Group of answer choices8456

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.  What is the prohibitive specific import tariff for this economy (i.e. the tariff that would reduce net exports to zero)?Group of answer choices8456

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Solution

To find the prohibitive specific import tariff for this economy, we first need to find the quantity demanded and supplied at the world price of $4.

  1. Substitute P = $4 into the demand and supply equations:

    Demand: Qd = 36 - 2P = 36 - 2(4) = 28 Supply: Qs = 4P - 12 = 4(4) - 12 = 4

  2. The difference between the quantity demanded and supplied is the quantity of imports under free trade:

    Imports = Qd - Qs = 28 - 4 = 24

  3. A prohibitive tariff would reduce net exports to zero, which means it would eliminate all imports. Therefore, the tariff must increase the domestic price to the level where quantity demanded equals quantity supplied.

  4. To find this price, set the demand equation equal to the supply equation and solve for P:

    36 - 2P = 4P - 12 6P = 48 P = 48 / 6 = $8

  5. The prohibitive tariff is the difference between this price and the world price:

    Tariff = P - world price = 88 - 4 = $4

So, the prohibitive specific import tariff for this economy is $4.

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