The demand and supply functions for three (03) goods are given as follows: Dx = 100-3Px+Py+3Pz Dy = 80+Px-2Py-Pz Dz = 120+3Px-Py-4Pz Sx = -10+Px Sy = -20+3Py Sz = -30+2Pz determineThe equilibrium prices and quantities of all three goods are? The government decides to: Impose a 25% Tax on X? Impose a 5 Rs /unit Tax on Y? Give a 10% subsidy on good z? Analyze the impact of each of these policies separately on equilibrium prices and quantities?

Exploring Economics
8th Edition
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:Robert L. Sexton
Chapter5: Markets In Motion And Price Controls
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The demand and supply functions for three (03) goods are given as follows:

Dx = 100-3Px+Py+3Pz

Dy = 80+Px-2Py-Pz

Dz = 120+3Px-Py-4Pz

Sx = -10+Px

Sy = -20+3Py

Sz = -30+2Pz

  1. determineThe equilibrium prices and quantities of all three goods are?
  2. The government decides to:
    • Impose a 25% Tax on X?
    • Impose a 5 Rs /unit Tax on Y?
    • Give a 10% subsidy on good z?
  3. Analyze the impact of each of these policies separately on equilibrium prices and quantities?
  4. Also calculate changes in consumer and producer surpluses, and amount of revenue earned by the government?
  5. Repeat this exercise when policies (a, b), (b, c) and (a, b, c) are jointly implemented. Which policy choice is best? Why?
  6. Provide theoretical justification (using diagrams) of all results obtained?
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