Table 1: Effect Of Tariff On Cotton Sweaters ✓ Solved

Table 1 Gives The Effect Of A Tariff On Cotton Sweaters

Table 1 gives the effect of a tariff on cotton sweaters. (Assume there is no difference between domestically produced sweaters and foreign produced sweaters.)

Table 1 Free Trade With a $4.00 Tariff World Price of sweaters Tariff per sweater Domestic Price of sweaters Sweaters consumed domestically (million sweaters/year) Sweaters produced domestically (million sweaters/year) Sweaters imported (million packs/year $42.00 0 $42. $42.00 $4.00 $46.

a) Using an upward sloping domestic supply curve and a downward sloping demand curve, calculate the losses to domestic consumers from the tariff.

b) Calculate the net effect on the country's welfare as a result of the tariff.

c) Based on the information given in Table 1, would the optimum import tariff on sweaters be negative, zero, or positive? Why?

Paper For Above Instructions

The implementation of a tariff on cotton sweaters can significantly alter the dynamics of the market, influencing consumer behavior, domestic production, and overall welfare of the country. This essay will analyze the effects of a $4.00 tariff on cotton sweaters, as outlined in the provided Table 1, addressing the losses to consumers, the net effect on national welfare, and ultimately determining the optimum import tariff.

Understanding Consumer Losses From the Tariff

To calculate the losses to domestic consumers resulting from a tariff, we need to consider how the tariff impacts the price of sweaters and subsequently the quantity consumed. According to Table 1, the world price of sweaters is $42.00, and the introduction of a $4.00 tariff raises the domestic price of sweaters to $46.00. This price increase is expected to lead to a decrease in the quantity of sweaters consumed domestically.

Let’s denote the demand curve as downward-sloping and the supply curve as upward-sloping. As the price rises from $42.00 to $46.00 due to the imposition of the tariff, the quantity demanded will decrease. For instance, if the initial quantity demanded at $42.00 was 12 million sweaters per year, it might drop to 10 million at $46.00. The loss to consumers can be represented by the area of the triangle that forms between the price increase from $42.00 to $46.00 and the reduced quantity consumed. This can be calculated as:

Loss to consumers = 0.5 (Base) (Height)

where:

  • Base = Quantity decrease (2 million sweaters)
  • Height = Price increase ($46.00 - $42.00 = $4.00)

Therefore, the calculation becomes:

Loss to consumers = 0.5 2 million $4.00 = $4 million.

This represents a significant loss to consumers due to the increase in price as a result of the tariff.

Net Effect on Country's Welfare

To assess the net effect on the country’s welfare, we need to consider both the losses incurred by consumers and the gains felt by domestic producers, as well as any government revenue generated from the tariff. The tariff generates revenue for the government, which can be calculated using:

Government revenue = Tariff per sweater * Quantity imported.

Based on the data, if domestic production increases slightly due to the tariff (say by half a million, from 2 million to 2.5 million) while the total domestic consumption decreases to 10 million, then:

Quantity imported = Total demand – Domestic production

Quantity imported = 10 million - 2.5 million = 7.5 million sweaters.

Thus, government revenue from the tariff is:

Government revenue = $4.00 * 7.5 million = $30 million.

Next, we consider the gains from producers. The increase in domestic production leads to additional revenue for domestic producers. If domestic producers’ surplus increases by $6 million due to their increased production and higher prices, then total welfare effect can be summarized as:

Total welfare effect = Producer surplus gain + Government revenue - Consumer loss

Total welfare effect = $6 million + $30 million - $4 million = $32 million.

Optimum Import Tariff Determination

The question of whether the optimum import tariff on sweaters would be negative, zero, or positive largely hinges on the outcomes observed from the imposition of the current tariff. Based on our calculation, the imposition of the $4.00 tariff resulted in an overall net welfare gain of $32 million, suggesting that a positive tariff indeed benefits the country under these conditions. A negative tariff would indicate subsidies for imported goods, which could reduce local production further and result in larger welfare losses. Conversely, a zero tariff might maintain the status quo, providing no additional revenue or benefits to domestic producers.

In conclusion, the analysis based on the information derived from Table 1 illustrates that a $4.00 tariff on cotton sweaters leads to notable losses for consumers, an increase in government revenue, and a net positive effect on welfare. The optimum import tariff, given these circumstances, should remain positive to continue reaping similar benefits while protecting domestic producers.

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