1. Suppose that the economy can be described by the following equations: C = 400 + (8/9)*DI I= 300 G= 800 T= (1/2)*Y (X – M) = 0. a. If national income (Y) increased by $1, by how much would consumption increase? What is the name of this concept? b. Find the equilibrium level of output. c. The budget for this fiscal year increases government spending by $50. i) Sketch the effect of the increase in government spending. ii) Calculate the new equilibrium level of income. iii) Calculate the change in income and compare to the increase in government spending

MACROECONOMICS
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Chapter9: Demand-side Equilibrium: Unemployment Or Inflation?
Section9.A: The Simple Algebra Of Income Determination And The Multiplier
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question 1 -part D and E

 

1. Suppose that the economy can be described by the following equations:
C = 400 + (8/9)*DI
I= 300
G= 800
T= (1/2)*Y
(X -М) 3 0.
a. If national income (Y) increased by $1, by how much would consumption increase? What is
the name of this concept?
b. Find the equilibrium level of output.
c. The budget for this fiscal year increases government spending by $50.
i) Sketch the effect of the increase in government spending.
ii) Calculate the new equilibrium level of income.
iii) Calculate the change in income and compare to the increase in government spending.
Comment.
iv) Given your numerical answer in part (iii), calculate the change in national income
when government spending increases by one dollar.
v) Derive the actual value of the fiscal multiplier using an algebraic equation. Compare
to part (iv).
Now G assumes its original value of G = 800.
d. Congress decreases the tax rate from (1/2) to (1/4)
i) Sketch the effect of the decrease in the tax rate.
ii) Calculate the new equilibrium level of income.
e. Suppose that voters care more about reducing unemployment than the level of the federal
deficit. If you were running for Congress this year (and you wanted to win the election), would
you promise to increase or to decrease government spending? Explain your answer.
Transcribed Image Text:1. Suppose that the economy can be described by the following equations: C = 400 + (8/9)*DI I= 300 G= 800 T= (1/2)*Y (X -М) 3 0. a. If national income (Y) increased by $1, by how much would consumption increase? What is the name of this concept? b. Find the equilibrium level of output. c. The budget for this fiscal year increases government spending by $50. i) Sketch the effect of the increase in government spending. ii) Calculate the new equilibrium level of income. iii) Calculate the change in income and compare to the increase in government spending. Comment. iv) Given your numerical answer in part (iii), calculate the change in national income when government spending increases by one dollar. v) Derive the actual value of the fiscal multiplier using an algebraic equation. Compare to part (iv). Now G assumes its original value of G = 800. d. Congress decreases the tax rate from (1/2) to (1/4) i) Sketch the effect of the decrease in the tax rate. ii) Calculate the new equilibrium level of income. e. Suppose that voters care more about reducing unemployment than the level of the federal deficit. If you were running for Congress this year (and you wanted to win the election), would you promise to increase or to decrease government spending? Explain your answer.
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