In: Economics
Suppose that the economy is characterized by the following behavioral equations:
C =150150+0.700.70YD
I = 150150
G = 120120
T = 110
Equilibrium GDP(Y)=nothing.(Round your response to two decimal places.)
Solution :
Given :
C =150150 + 0.70YD
I = 150150
G = 120120
T = 110
We know, Y = C + I + G
Equilibrium GDP (Y)= consumption (C) + investment (I) + government spending (G)
We have , Disposable income YD = Y-T
So, Y = 150150 + 0.70(Y-110) + 150150 + 120120 = 420420 +
0.70Y- 77
Y = 420343 + 0.70Y
Y = 420343 + 0.70Y
0.30Y = 420343
Y = 420343/0.30
Y = 1,401,143.33
So, equilibrium GDP = ($ 1,401,143.33)
Disposable income = Y-T = 1,401,143.33 - 110 = 1,401,033.33
Consumption spending = C =
150150 + 0.70YD
= 150150 + 0.70*1,401,143.33
= 150150 + 980,800.33
= 1,130,950.33