The economy is described by the following functions: C = Č+c•YD Tx t.Y %3D Tr Tr I %3D G = Ğ Nx = Nx where t is the tax rate. Note the difference with the setup derived in class: here, the amount of taxes collected depends positively on the gross income. • Q1. Express equilibrium output as function of other variables • Q2. Find the multiplier associated with government purchases. How does this multiplier compare with that obtained in class (i.e. for a model with lump-sum taxes?)

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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The economy is described by the following functions:

\[ C = \bar{C} + c \cdot YD \]

\[ Tx = t \cdot Y \]

\[ Tr = \bar{T}r \]

\[ I = \bar{I} \]

\[ G = \bar{G} \]

\[ Nx = \bar{N}x \]

where \( t \) is the tax rate. Note the difference with the setup derived in class: here, the amount of taxes collected depends positively on the gross income.

- **Q1.** Express equilibrium output as a function of other variables.
  
- **Q2.** Find the multiplier associated with government purchases. How does this multiplier compare with that obtained in class (i.e., for a model with lump-sum taxes)?
Transcribed Image Text:The economy is described by the following functions: \[ C = \bar{C} + c \cdot YD \] \[ Tx = t \cdot Y \] \[ Tr = \bar{T}r \] \[ I = \bar{I} \] \[ G = \bar{G} \] \[ Nx = \bar{N}x \] where \( t \) is the tax rate. Note the difference with the setup derived in class: here, the amount of taxes collected depends positively on the gross income. - **Q1.** Express equilibrium output as a function of other variables. - **Q2.** Find the multiplier associated with government purchases. How does this multiplier compare with that obtained in class (i.e., for a model with lump-sum taxes)?
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