Questions: Homework: Chapter 19 Fill in the following table with the quantity sold, the price buyers pay, and the price sellers receive before and after the tax. Quantity (Pairs of shoes) Price Buyers Pay (Dollars per pair) Price Sellers Receive (Dollars per pair) ------------ Before Tax 10 150.00 150.00 After Tax 10 184.00 116.00 Using the data you entered in the previous table, calculate the tax burden that falls on buyers and sellers, respectively, and calculate the elasticity of demand and supply over the relevant ranges using the midpoint method. Enter your results in the following table. Tax Burden (Dollars per pair) Elasticity --------- Buyers - Sellers The burden of the tax falls more heavily on the elastic side of the market.

Homework: Chapter 19

Fill in the following table with the quantity sold, the price buyers pay, and the price sellers receive before and after the tax.

   Quantity (Pairs of shoes)  Price Buyers Pay (Dollars per pair)  Price Sellers Receive (Dollars per pair) 
------------
 Before Tax  10  150.00  150.00 
 After Tax  10  184.00  116.00 

Using the data you entered in the previous table, calculate the tax burden that falls on buyers and sellers, respectively, and calculate the elasticity of demand and supply over the relevant ranges using the midpoint method. Enter your results in the following table.

   Tax Burden (Dollars per pair)  Elasticity 
---------
 Buyers    - 
 Sellers     

The burden of the tax falls more heavily on the elastic side of the market.
Transcript text: Homework: Chapter 19 Fill in the following table with the quantity sold, the price buyers pay, and the price sellers receive before and after the tax. \begin{tabular}{lccc} & \begin{tabular}{c} Quantity \\ (Pairs of shoes) \end{tabular} & \begin{tabular}{c} Price Buyers Pay \\ (Dollars per pair) \end{tabular} & \begin{tabular}{c} Price Sellers Receive \\ (Dollars per pair) \end{tabular} \\ \hline Before Tax & 10 & 150.00 & 150.00 \\ After Tax & 10 & 184.00 & 116.00 \end{tabular} Using the data you entered in the previous table, calculate the tax burden that falls on buyers and sellers, respectively, and calculate th elasticity of demand and supply over the relevant ranges using the midpoint method. Enter your results in the following table. \begin{tabular}{lcc} & \begin{tabular}{c} Tax Burden \\ (Dollars per pair) \end{tabular} & Elasticity \\ \hline Buyers & $\square$ & - \\ Sellers & $\square$ & \end{tabular} The burden of the tax falls more heavily on the elastic side of the market.
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Solution

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To solve the problem, we need to calculate the tax burden on buyers and sellers and determine the elasticity of demand and supply using the midpoint method.

Step 1: Calculate the Tax Burden

Before Tax:

  • Quantity: 10 pairs
  • Price Buyers Pay: $150.00
  • Price Sellers Receive: $150.00

After Tax:

  • Quantity: 10 pairs
  • Price Buyers Pay: $184.00
  • Price Sellers Receive: $116.00

Tax Burden on Buyers:

  • Before Tax Price: $150.00
  • After Tax Price: $184.00
  • Tax Burden on Buyers = After Tax Price - Before Tax Price = $184.00 - $150.00 = $34.00

Tax Burden on Sellers:

  • Before Tax Price: $150.00
  • After Tax Price: $116.00
  • Tax Burden on Sellers = Before Tax Price - After Tax Price = $150.00 - $116.00 = $34.00
Step 2: Calculate Elasticity Using the Midpoint Method

The midpoint method formula for elasticity is:

\[ \text{Elasticity} = \frac{\frac{\Delta Q}{\text{Average Quantity}}}{\frac{\Delta P}{\text{Average Price}}} \]

Elasticity of Demand:

  • Change in Quantity (\(\Delta Q\)): 0 (since quantity remains 10 pairs)
  • Change in Price (\(\Delta P\)): $184.00 - $150.00 = $34.00
  • Average Quantity: (10 + 10) / 2 = 10
  • Average Price: ($150.00 + $184.00) / 2 = $167.00

Since the quantity does not change, the elasticity of demand is 0.

Elasticity of Supply:

  • Change in Quantity (\(\Delta Q\)): 0 (since quantity remains 10 pairs)
  • Change in Price (\(\Delta P\)): $150.00 - $116.00 = $34.00
  • Average Quantity: (10 + 10) / 2 = 10
  • Average Price: ($150.00 + $116.00) / 2 = $133.00

Since the quantity does not change, the elasticity of supply is 0.

Summary
  • Tax Burden on Buyers: $34.00
  • Tax Burden on Sellers: $34.00
  • Elasticity of Demand: 0
  • Elasticity of Supply: 0

The burden of the tax falls equally on both buyers and sellers since the elasticity of both demand and supply is zero, indicating perfectly inelastic demand and supply over the given range.

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