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 will be the government revenue if this country implements a $2 specific import tariff?Group of answer choices39782426
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 2 specific import tariff?Group of answer choices39782426
Solution
To calculate the government revenue from the import tariff, we first need to find the quantity of goods imported.
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Calculate the quantity demanded and supplied at the world price of $4:
For the demand curve Qd = 36 - 2P, substitute P = 4: Qd = 36 - 2*4 = 28
For the supply curve Qs = 4P - 12, substitute P = 4: Qs = 4*4 - 12 = 4
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Calculate the quantity of goods imported at the world price: Quantity of imports = Qd - Qs = 28 - 4 = 24
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Calculate the new quantity demanded and supplied at the tariff-inclusive price of $6:
For the demand curve Qd = 36 - 2P, substitute P = 6: Qd = 36 - 2*6 = 24
For the supply curve Qs = 4P - 12, substitute P = 6: Qs = 4*6 - 12 = 12
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Calculate the new quantity of goods imported at the tariff-inclusive price: Quantity of imports = Qd - Qs = 24 - 12 = 12
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Calculate the government revenue from the import tariff: Government revenue = tariff rate * quantity of goods imported Government revenue = 24
So, the government revenue if this country implements a 24.
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