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?)
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?)
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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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)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e9f74db-68ca-409f-99ca-c3b15e89955c%2F758cf4a8-c87a-4a18-80e5-7f2699821fb7%2Ft6daz8p_processed.jpeg&w=3840&q=75)
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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