The demand (D) and supply (S) function for a commodity are P=100 - 20 and P= 10 + Q, respectively. (a) Find the equilibrium price and quantity. That is, find the price and quantity where the Dand S functions intersect. (b) A new 10% tax is imposed on this commodity. Find the burden of the tax on demanders and the burden on suppliers. Also find the total taxes.

Microeconomics: Principles & Policy
14th Edition
ISBN:9781337794992
Author:William J. Baumol, Alan S. Blinder, John L. Solow
Publisher:William J. Baumol, Alan S. Blinder, John L. Solow
Chapter6: Demand And Elasticity
Section: Chapter Questions
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The demand (D) and supply (S) function for a commodity are P=100 - 20 and
P = 10 + Q, respectively. (a) Find the equilibrium price and quantity. That is, find the price and
quantity where the D and S functions intersect. (b) A new 10% tax is imposed on this
commodity. Find the burden of the tax on demanders and the burden on suppliers. Also find
the total taxes.
[In order to insure that we all do this problem in the same way, let's assume that the tax is
imposed on the supply side of the market. In addition, the burden of the tax on demanders is
the difference in price demanders pay when the tax is in existence less the price they paid
when there was no tax. The burden on suppliers is the difference in price suppliers received
when there was no tax and the net price (after remitting tax to the government) they receive
when the tax is in existence.]
Transcribed Image Text:The demand (D) and supply (S) function for a commodity are P=100 - 20 and P = 10 + Q, respectively. (a) Find the equilibrium price and quantity. That is, find the price and quantity where the D and S functions intersect. (b) A new 10% tax is imposed on this commodity. Find the burden of the tax on demanders and the burden on suppliers. Also find the total taxes. [In order to insure that we all do this problem in the same way, let's assume that the tax is imposed on the supply side of the market. In addition, the burden of the tax on demanders is the difference in price demanders pay when the tax is in existence less the price they paid when there was no tax. The burden on suppliers is the difference in price suppliers received when there was no tax and the net price (after remitting tax to the government) they receive when the tax is in existence.]
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