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The graph shown demonstrates a tax on sellers. What is the amount of tax revenue being generated from the tax?

Question

The graph shown demonstrates a tax on sellers. What is the amount of tax revenue being generated from the tax?

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Solution

To determine the tax revenue generated from a tax on sellers using a graph, follow these steps:

1. ### Break Down the Problem

  1. Identify the equilibrium quantity before the tax.
  2. Identify the new quantity sold after the tax is implemented.
  3. Determine the price difference caused by the tax.

2. ### Relevant Concepts

  • Tax revenue can be calculated using the formula: Tax Revenue=(Tax per unit)×(Quantity sold after tax) \text{Tax Revenue} = (\text{Tax per unit}) \times (\text{Quantity sold after tax})

3. ### Analysis and Detail

  1. Let Ps P_s be the price sellers receive after the tax, and Pb P_b be the price buyers pay after the tax.
  2. Determine the tax amount: Tax per unit=PbPs \text{Tax per unit} = P_b - P_s
  3. From the graph, identify the equilibrium quantity sold after the tax implementation.

4. ### Verify and Summarize

  • Once you have the tax per unit and the new quantity sold, apply the formula for tax revenue: Tax Revenue=Tax per unit×Quantity sold after tax \text{Tax Revenue} = \text{Tax per unit} \times \text{Quantity sold after tax}

Final Answer

  • Substitute the values into the tax revenue formula to find the total tax revenue generated. Without specific numerical values from the graph, the exact amount cannot be provided, but this method outlines how to find it.

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