suppose that lebanon has placed tariffs on its imports and exports. the import tariff is 13%, and the export…

suppose that lebanon has placed tariffs on its imports and exports. the import tariff is 13%, and the export tariff is 8%. if lebanon has a balance of trade of (equivalent us dollars) $5,510,000 and received tariff revenue of $4,019,200, what are its imports and exports worth?\na. $30,916,923 in imports, $50,240,000 in exports\nb. $17,040,000 in imports, $22,550,000 in exports\nc. $6,226,300 in imports, $5,950,800 in exports\nd. $4,793,700 in imports, $5,069,200 in exports

suppose that lebanon has placed tariffs on its imports and exports. the import tariff is 13%, and the export tariff is 8%. if lebanon has a balance of trade of (equivalent us dollars) $5,510,000 and received tariff revenue of $4,019,200, what are its imports and exports worth?\na. $30,916,923 in imports, $50,240,000 in exports\nb. $17,040,000 in imports, $22,550,000 in exports\nc. $6,226,300 in imports, $5,950,800 in exports\nd. $4,793,700 in imports, $5,069,200 in exports

Answer

Explanation:

Step1: Definir variables

Sea $I$ el valor de las importaciones y $E$ el valor de las exportaciones. El balance comercial es $E - I=5510000$, entonces $E = I + 5510000$. El ingreso en aranceles es $0.13I+0.08E = 4019200$.

Step2: Sustituir $E$ en la ecuación de aranceles

Sustituimos $E = I + 5510000$ en $0.13I+0.08E = 4019200$. Tenemos $0.13I+0.08(I + 5510000)=4019200$. Expandimos: $0.13I+0.08I+440800 = 4019200$. Combinamos términos: $0.21I=4019200 - 440800$. $0.21I = 3578400$.

Step3: Calcular $I$

Dividimos ambos lados por $0.21$: $I=\frac{3578400}{0.21}=17040000$.

Step4: Calcular $E$

Sustituimos $I = 17040000$ en $E = I + 5510000$. $E=17040000 + 5510000=22550000$.

Answer:

B. $17040000$ dólares en importaciones, $22550000$ dólares en exportaciones