8. advanced analysis Assume that the consumption schedule for a private open economy is such that consumption C =

50 + 0.8Y. Assume further that planned investment Ig and net exports Xn are independent of the level of real GDP and constant at Ig = 30 and Xn = 10. Recall also that, in equilibrium, the real output produced (Y) is equal to aggregate expenditures:
Y = C + Ig + Xn. LO31.7

a. Calculate the equilibrium level of income or real GDP for this economy.1

b. What happens to equilibrium Y if Ig changes to 10? What does this outcome reveal about the size of the multiplier?