The demand for a commodity is given by QD=200-P, and the supply by QS=50+P. What is the equilibrium price and quantity? If a tax of $10 per unit is imposed, what will be the price and quantity after the tax?

Macroeconomics: Private and Public Choice (MindTap Course List)
16th Edition
ISBN:9781305506756
Author:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Publisher:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Chapter4: Demand And Demand: Applications And Extensions
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The demand for a commodity is given by QD=200-P, and the supply by QS=50+P. What is the equilibrium price and quantity? If a tax of $10 per unit is imposed, what will be the price and quantity after the tax? 

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Step 1

Qd = 200-P

Qs = 50+P

Tax = $10

Let’s Solve these equations algebraically to find equilibrium P and Q

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