Question

n a simple closed economy where there is no government and investment, the consumption function of households is given by C(Y)=60+0.6Y. The potential output in this economy at 450.

a. What is the consumption expenditure when income is equal to zero?

b. What is the break-even point Y?

c. By how much will equilibrium income change due to the addition of investment?

d. Suppose, now our simple closed economy added an intended investment I=100, the consumption function of households is still given by C(Y)=60+0.6Y. The potential output in this economy is still at 450. If the government is to pursue a balanced budget, and tax is in the form of a head tax (a.k.a., lump-sum tax) what should G=T be for the economy to achieve the potential output of 450?

Answer #1

Consumption function is C(Y)=60+0.6Y

**Answer a:**

We have,

C(Y)=60+0.6Y

When Income Y = 0,

Consumption Expenditure = 60 + 0.6 x 0

**= 60**

**Answer b:**

At Break even point the income = consumption or savings = 0.

Therefore,

Y=C

Y= 60 + 0.6 Y

Y - 0.6Y = 60

0.4 Y = 60

Y = 60 / 0.4 = 150

**Hence, the break-even level of income is
150.**

**Answer c:**

At equilibrium,

AS=AD

Y= C+I

=> Y= 60 + 0.6 (Y) + I

=> Y(1-0.6) = 60 + I

=>
**Y = 2.5 I + 150**

**Answer d:**

Consumption Function is C = 60+ 0.6 Y where Y in the income in the economy.

At equilibrium level of income,

AS=AD

Y= C+I – T + G

=> Y= 450 + 0.6 Y + 100 – T + G

=> Y - 0.6 Y = 550 –T+G

=> 0.4 Y = 550 – T + G

=> 0.4 x 450 = -T + G

=> **G = T +
180**

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