The demand and supply curves are given by q = 80 - 4 p and q = 6 p-40, respectively; the equilibrium price is $12 and the equilibrium quantity is 32 units. A sales tax of 7% is imposed on the consumer. (a) Find the equation of the new demand and supply curves. NOTE: Enter the exact answer. Demand: q = Supply: q = (b) Find the new equilibrium price and quantity. NOTE: Round your answers to two decimal places. P = $ Total tax collected = q= (c) How much is paid in taxes on each unit? How much of this is paid by the consumer and how much by the producer? NOTE: Round your answers to two decimal places. Tax paid by consumer = $ Tax paid by producer = $ Total tax paid = $ (d) How much tax does the government collect? NOTE: Round your answers to two decimal places. $ units.

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The demand and supply curves are given by q = 80 - 4 p and
q = 6 p-40, respectively; the equilibrium price is $12 and the
-
equilibrium quantity is 32 units. A sales tax of 7% is imposed
on the consumer.
(a) Find the equation of the new demand and supply curves.
NOTE: Enter the exact answer.
Demand: q =
Supply: q =
(b) Find the new equilibrium price and quantity.
NOTE: Round your answers to two decimal places.
P = $
q=
units.
(c) How much is paid in taxes on each unit? How much of this is paid
by the consumer and how much by the producer?
NOTE: Round your answers to two decimal places.
Tax paid by consumer =
= $
Tax paid by producer = $
Total tax paid = $
(d) How much tax does the government collect?
NOTE: Round your answers to two decimal places.
Total tax collected = $
Transcribed Image Text:The demand and supply curves are given by q = 80 - 4 p and q = 6 p-40, respectively; the equilibrium price is $12 and the - equilibrium quantity is 32 units. A sales tax of 7% is imposed on the consumer. (a) Find the equation of the new demand and supply curves. NOTE: Enter the exact answer. Demand: q = Supply: q = (b) Find the new equilibrium price and quantity. NOTE: Round your answers to two decimal places. P = $ q= units. (c) How much is paid in taxes on each unit? How much of this is paid by the consumer and how much by the producer? NOTE: Round your answers to two decimal places. Tax paid by consumer = = $ Tax paid by producer = $ Total tax paid = $ (d) How much tax does the government collect? NOTE: Round your answers to two decimal places. Total tax collected = $
Expert Solution
Step 1: Defining ad valorem taxes, equilibrium price and quantity

Taxes distort the quantity and price away from equilibrium. With the imposition of taxes, a deadweight loss always occur.  

An ad valorem tax is a percentage tax imposed on the market. A tax of τ% will alter the demand and supply curves in the market. The amount of tax is shared by buyers and sellers. The side of the market that is less elastic pays a higher amount of tax.

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