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 aggregate demand 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 aggregate demand of equilibrium?
Solution 1
In a closed economy with no government, the aggregate demand (AD) is the sum of consumption (C) and investment (I).
Given the consumption function C = 100 + 0.6Y and investment I = 200, we can express AD as:
AD = C + I AD = (100 + 0.6Y) + 200 AD = 300 + 0.6Y (3)
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 equal to Y:
Y = 300 + 0.6Y
To solve for Y, we subtract 0.6Y from both sides:
0.4Y = 300
Then, divide both sides by 0.4 to solve for Y:
Y = 300 / 0.4 Y = 750
So, the equilibrium level of aggregate demand in this economy is 750.
Solution 2
In a closed economy with no government, the aggregate demand (AD) is the sum of consumption (C) and investment (I).
Given the consumption function C = 100 + 0.6Y and investment I = 200, we can express AD as:
AD = C + I AD = (100 + 0.6Y) + 200 AD = 300 + 0.6Y (3)
In equilibrium, aggregate demand equals aggregate supply. In this simple model, aggregate supply is equal to the total income Y. Therefore, we can set AD equal to Y:
Y = 300 + 0.6Y
To solve for Y, we subtract 0.6Y from both sides:
0.4Y = 300
Finally, we divide both sides by 0.4 to find the equilibrium level of income:
Y = 300 / 0.4 Y = 750
So, the aggregate demand at equilibrium is 750.
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