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In the Keynesian cross , assume the Consumption Function is given by : C= 200 + 0.75 (Y-T). Planned investment is 100; government purchases and taxes are both 100. What is the equilibrium level of Income?

Question

In the Keynesian cross , assume the Consumption Function is given by : C= 200 + 0.75 (Y-T). Planned investment is 100; government purchases and taxes are both 100. What is the equilibrium level of Income?

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Solution

To find the equilibrium level of income in the Keynesian cross model, we need to set planned aggregate spending equal to actual income and solve for Y (income).

The aggregate spending (AS) in an economy is the sum of Consumption (C), Investment (I), and Government spending (G). In this case, the Consumption function is given by C = 200 + 0.75(Y-T), Investment is 100, and Government spending is 100. Taxes (T) are also 100.

So, the aggregate spending is:

AS = C + I + G AS = [200 + 0.75(Y-100)] + 100 + 100

Simplify this to:

AS = 200 + 0.75Y - 75 + 200 AS = 325 + 0.75Y

In equilibrium, aggregate spending equals income (Y), so we set AS = Y and solve for Y:

325 + 0.75Y = Y 325 = 0.25Y Y = 325 / 0.25 Y = 1300

So, the equilibrium level of income in this Keynesian cross model is 1300.

This problem has been solved

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