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You are given the following data concerning Freedonia, a legendary country:(1) Consumption function: C = 200 + .8Y(2) Investment Function: I = 100(3) AE is equal to C + I(4) AE = Ya. What is the marginal propensity to consume in Freedonia, and what is the marginal prosperity to save? MPC is C/Y, 1 MINUS MPC IS THE MPS.
b. Graph equations (3) and (4) and solve for equilibrium income.
c. Suppose equation (2) were changed to (2') I = 110. What is the new equilibrium level of income? By how much does the $10 increase in planned investment change equilibrium income? What is the value of the multiplier?
d. Calculate the saving function for Freedonia. Plot this saving function on a graph with equation (2). Explain why the equilibrium income in this graph must be the same as in part b.
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