Assume the economy is closed and there is no government. The aggregate demand components are described below:C = 100 + 0.6Y (1)I = 200 (2)What is the consumption of equilibrium?
Question
Assume the economy is closed and there is no government. The aggregate demand components are described below:C = 100 + 0.6Y (1)I = 200 (2)What is the consumption of equilibrium?
Solution
In a closed economy with no government, the equilibrium is where aggregate demand equals aggregate supply. Aggregate demand is the sum of consumption (C) and investment (I). Given the equations:
C = 100 + 0.6Y (1) I = 200 (2)
Aggregate demand (AD) can be expressed as:
AD = C + I AD = (100 + 0.6Y) + 200 AD = 300 + 0.6Y
In equilibrium, aggregate demand equals aggregate supply. In a simple economy like this, aggregate supply is just the total output, which is income (Y). So, we set AD = Y:
300 + 0.6Y = Y
Solving this equation for Y gives us the equilibrium level of income:
0.4Y = 300 Y = 300 / 0.4 Y = 750
Substituting Y = 750 into the consumption function (1) gives us the equilibrium level of consumption:
C = 100 + 0.6*750 C = 100 + 450 C = 550
So, the equilibrium level of consumption is 550.
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