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After the city sets a minimum fee of $20 per dog walk, what is the deadweight loss per dog walk?

Question

After the city sets a minimum fee of $20 per dog walk, what is the deadweight loss per dog walk?

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Solution

To answer this question, we need more information about the market for dog walking before and after the minimum fee was imposed. Deadweight loss is the loss in total surplus that occurs when the market is not efficient, or when the quantity supplied does not equal the quantity demanded.

Here are the steps to calculate the deadweight loss:

  1. Identify the demand and supply curves before the minimum fee was imposed. This can be done by plotting the price of a dog walk on the y-axis and the quantity of dog walks on the x-axis. The demand curve will be downward sloping (as price increases, quantity demanded decreases) and the supply curve will be upward sloping (as price increases, quantity supplied increases).

  2. Identify the equilibrium price and quantity. This is where the demand and supply curves intersect.

  3. After the minimum fee is imposed, the price of a dog walk will be at least $20. This will cause the quantity demanded to decrease (as the price is now higher) and the quantity supplied to increase (as suppliers can now charge a higher price).

  4. The new quantity of dog walks will be where the price of $20 intersects with the demand and supply curves.

  5. The deadweight loss is the area of the triangle formed by the original supply curve, the original demand curve, and the line representing the price of $20. This represents the loss in total surplus (the sum of consumer and producer surplus) due to the minimum fee.

Without specific numbers or a graph, it's impossible to calculate the exact deadweight loss. But this is the general process you would follow.

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