4.5 You are given the following data concerning Freedonia, a legendary country: (1) Consumption function: C = 200 + 0.8Y (2) Investment function: I = 100 (3) AE = C + I (4) AE = Y a. What is the marginal propensity to consume in Freedonia, and what is the marginal propensity to save? b. Graph equations (3) and (4) and solve for equilibrium income. c. Suppose equation (2) is changed to (2´) I = 110. What is the new equilibrium level of income? By how much does the $10 increase in planned investment change equilib- rium income? What is the value of the multiplier? d. Calculate the saving function for Freedonia. Plot this sav- ing function on a graph with equation (2). Explain why the equilibrium income in this graph must be the same as in part b.

4.5 You are given the following data concerning Freedonia, a legendary country: (1) Consumption function: C = 200 + 0.8Y (2) Investment function: I = 100 (3) AE = C + I (4) AE = Y a. What is the marginal propensity to consume in Freedonia, and what is the marginal propensity to save? b. Graph equations (3) and (4) and solve for equilibrium income. c. Suppose equation (2) is changed to (2´) I = 110. What is the new equilibrium level of income? By how much does the $10 increase in planned investment change equilib- rium income? What is the value of the multiplier? d. Calculate the saving function for Freedonia. Plot this sav- ing function on a graph with equation (2). Explain why the equilibrium income in this graph must be the same as in part b.

MACROECONOMICS

14th Edition

ISBN:9781337794985

Author:Baumol

Publisher:Baumol

Chapter9: Demand-side Equilibrium: Unemployment Or Inflation?

Section9.A: The Simple Algebra Of Income Determination And The Multiplier

Problem 5TY

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You are given the following data concerning Freedonia, a leg-endary country:(1) Consumption function: C = 200 + 0.8Y(2) Investment function: I = 100(3) AE C + I(4) AE = Ya. What is the marginal propensity to consume in Freedonia,and what is the marginal propensity to save?b. Graph equations (3) and (4) and solve for equilibrium income.c. Suppose equation (2) is changed to (2 ́) I = 110. What is thenew equilibrium level of income? By how much does the$10 increase in planned investment change equilibriumincome? What is the value of the multiplier? d. Calculate the saving function for Freedonia. Plot this sav-ing function on a graph with equation (2). Explain why theequilibrium income in this graph must be the same as inpart b.
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