The following graph shows the daily market for shoes. Suppose the government institutes a tax of $11.60 per pair. This places a wedge between the price buyers pay and the price sellers receive.
Fill in the following table with the quantity sold, the price buyers pay, and the price sellers receive before and after the tax.
Using the data you entered in the previous table, calculate the tax burden that falls on buyers and on sellers, respectively, and calculate the price elasticity of demand and supply over the relevant ranges using the midpoint method. Enter your results in the following table.
The burden of the tax falls more heavily on the _______ elastic side of the market.
Quantity | Price buyer pays ($) | Price sellers receive ($) | |
Before tax | 250 | 25 | 25 |
After tax | 210 | 35 | 23.40 (i.e., 35 - 11.60) |
Here, P1 = 25 Q1 = 250
P2 = 35 Q2 = 210
Elasticity of demand=(210-250)/(35 - 25)*(25 + 35)/(250+210)
= (-40 / 10) * (60 / 460)
= -2400 / 4600
= -0.52
Here, P1 = 25 Q1 = 250
P2 = 23.40 Q2 = 210
Elasticity of supply = (210 - 250) / (23.40 - 25) * (25 + 23.40) / (250 + 210)
= (-40 / -1.60) * (48.40 / 460)
= -1936 / -736
= 2.63
Tax burden ($) | Elasticity | |
Buyers | 10 (i.e., 35 - 25) | -0.52 |
Sellers | 1.60 (i.e., 25 - 23.40) | 2.63 |
Ans to the blank: Less
Quantity | Price buyer pays ($) | Price sellers receive ($) | |
Before tax | 250 | 100 | 100 |
After tax | 210 | 140 | 93.6 |
Tax burden on buyers: 40 per pair with 0.53 elasticity
tax burden on sellers: 6.40 per pair with 2.63 elasticity
LESS
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