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Select Any One Of the Following Options: 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?1250120013001350

Question

Select Any One Of the Following Options: 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?1250120013001350

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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 aggregate income (Y), and solve for Y.

The consumption function is given by C = 200 + 0.75(Y - T), where Y is income and T is taxes. Planned investment (I) is 100, government purchases (G) are 100, and taxes (T) are also 100.

Planned aggregate spending is the sum of consumption (C), investment (I), and government purchases (G). So, we have:

C + I + G = Y

Substituting the given values, we get:

200 + 0.75(Y - 100) + 100 + 100 = Y

Solving this equation for Y will give us the equilibrium level of income.

First, simplify the equation:

200 + 0.75Y - 75 + 200 = Y

Then, combine like terms:

325 + 0.75Y = Y

Subtract 0.75Y from both sides to isolate Y:

325 = 0.25Y

Finally, divide both sides by 0.25 to solve for Y:

Y = 325 / 0.25 = 1300

So, the equilibrium level of income is 1300.

This problem has been solved

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