Suppose an imaginary closed economy is characterized by the following:   C = c0 + c1 (Y − T)   T = t0 + t1Y I = 300 G = 300   C is consumption, Y and YD are, respectively, income and disposable income, T is the level of taxes, and I and G, are, respectively, private investment, and government spending. c0 and c1 are, respectively, autonomous consumption and the marginal propensity to consume; their values are unknown. However, the expression for private saving, S, is as specified below, where s1 is the marginal propensity to save out of total income.   S = 0.4Y − 500   Assuming that the marginal tax rate, t1, is equal to 0.1 and the equilibrium GDP is 2000, find the level of autonomous taxes, t0, the equilibrium values of consumption, disposable income, and private saving.

Economics For Today
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ISBN:9781337613040
Author:Tucker
Publisher:Tucker
Chapter18: The Keynesian Model
Section: Chapter Questions
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Suppose an imaginary closed economy is characterized by the following:

 

C = c0 + c1 (Y − T)

 

T = t0 + t1Y I = 300 G = 300

 

C is consumption, Y and YD are, respectively, income and disposable income, T is the level of taxes, and I and G, are, respectively, private investment, and government spending. c0 and c1 are, respectively, autonomous consumption and the marginal propensity to consume; their values are unknown. However, the expression for private saving, S, is as specified below, where s1 is the marginal propensity to save out of total income.

 

S = 0.4Y − 500

 

Assuming that the marginal tax rate, t1, is equal to 0.1 and the equilibrium GDP is 2000, find the level of autonomous taxes, t0, the equilibrium values of consumption, disposable income, and private saving.

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