Microeconomics
Microeconomics
2nd Edition
ISBN: 9780073375854
Author: B. Douglas Bernheim, Michael Whinston
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 2, Problem 1CP

The demand function for a product is Qd = 100 − BdP. Suppose that there is a tax of t dollars per unit that producers must pay and that the supply function for the product when the tax is t and the price is P is Qs = Bs (Pt) − 5. What is the equilibrium price as a function of the tax t? Define the “pass-through rate” of a small increase in the tax as the derivative of the market price consumers pay with respect to the tax: dP/dt. What is the pass-through rate of a small tax increase in this market? How does it depend on Bd and Bs?

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The inverse supply function for gum is PS = 4 + QS. The inverse demand function for gum is PD = 16 - QD. By how much does producer surplus decrease when a $2 tax on production is implemented? (Please round your answer to 1 decimal place, e.g., 1.2, -3.4).
the inverse demand function for mangos is p=6-0.5q, where q is the number of crates that are sold. The inverse supply function is p=q. In the past there was no tax on mangos but now a tax of 3$ per crate has been imposed on suppliers. What are the quantities produced before and after the tax was imposed? How much tax is raised?
The demand (D) and supply (S) function for a commodity are P =100 – 2Q 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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