Transcript SalestaxOct22

Sales Taxes, Revenue, and
Burden
The effect of a sales tax collected
from buyers is to
A) Shift the demand curve up by the amount of the tax.
B) Shift the supply curve down by the amount of the
tax.
C) Shift the demand curve down by the amount of the
tax.
D) Shift the supply curve up by the amount of the tax.
E) Shift both the demand and the supply curve, each by
half the amount of the tax.
The demand curve has equation P=50-Q and the
supply curve has equation P=10+Q where P is price
and Q is quantity. The competitive equilibrium price
and quantity are:
A)
B)
C)
D)
E)
P= 30,
P=30,
P=20,
P=10,
P=40,
Q=10
Q=20
Q=20
Q=40
Q=30
Why is that?
• In equilibrium supply equals demand.
• We have the demand curve with equation
P=50-Q and the supply curve with equation
P=10+Q.
• The demand and supply curves cross where
50-Q=10+Q. Solve for Q and you find Q=20.
Then P=50-Q=10+Q=30.
The demand curve has equation P=50-Q and the
supply curve has equation P=10+Q where P is price in
dollars and Q is quantity. If a sales tax of $10 per unit
is collected from buyers, the new equilibrium price and
quantity will be:
A)
B)
C)
D)
E)
P= 35,
P=35,
P=25,
P=10,
P=30,
Q=15
Q=25
Q=15
Q=40
Q=10
Why is that?
• A sales tax collected from demanders shifts
demand curve down by amount of the tax.
• Old demand curve was P=50-Q. New one
Must be P=40-Q.
• The demand and supply curves cross where
40-Q=10+Q. Solve for Q and you find Q=15.
Then P=40-Q=10+Q=25.
As in the previous question, the demand curve has
equation P=50-Q and the supply curve has equation
P=10+Q where P is price in dollars and Q is quantity.
If a sales tax of $10 per unit is collected from buyers,
how much revenue will the government raise with the
tax?
A) $150
B) $100
C) $200
D) $300
E) $350
Why is that?
With the tax, we found that the quantity sold is
15 units.
The tax is $10 per unit.
Tax revenue is tax per unit times quantity sold.
$10x15=$150.
The Demand curve has equation
Q=100-P. Supply curve has equation
Q=10+2P. A sales tax of $15 is
introduced. The after-tax price to
demanders will
1.
2.
3.
4.
5.
Rise by $5
Rise by $7.50.
Rise by $15.
Rise by $10
There is not enough
information to tell.
Why is that?
Let x be the rise in buyer’s after-tax price
and y the fall in supplier’s after-tax price.
We know that supply curve is twice as
steep as the demand curve so y=2x. We
also know that x+y=$15 is total amount of
the tax. So x+2x=$15. Therefore x=$5.
Another Reflex Check
•
Enter the letter A on your clicker.
And on to our lecture…