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A simple Keynesian income determination model of an open economy is described by the following equation

AE = C + I + G + X - M, where

C = C + bYd

Yd = Y - T

T = T + tY

I = I

G = G

X = X

M = mY

(a) Derive, from first principles, the equilibrium level of income. Sketch the equilibrium position using a well-labelled Keynesian cross diagram. 

(b) Explain the Keynesian expenditure multiplier. Derive the formula for the multiplier in this model.

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