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Homework answers / question archive / Suppose a closed economy has an intended investment of 150 and an aggregate consumption function given by C = 250 + 0

Suppose a closed economy has an intended investment of 150 and an aggregate consumption function given by C = 250 + 0

Economics

Suppose a closed economy has an intended investment of 150 and an aggregate consumption function given by C = 250 + 0.75Yd. Suppose also that the government spends 50 but collects no taxes. 

What is equilibrium output and income?

(round your answer to the nearest whole value)

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Computation of the equilibrium output and income:-

C = 250 + 0.75Yd

I = 150 

G = 50

Yd = (Y - T)

T = 0

At Equilibrium Y = C + I + G 

Y = (250 + 0.75Yd) + 150 + 50

= 450 + 0.75*(Y-T)

= 450 + 0.75*(Y-0)

Y = 450 + 0.75Y

Y - 0.75Y = 450

0.25Y = 450

Y = 450 / 0.25

= 1,800

Hence, the equilibrium output and income = 1,800