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If planned aggregate expenditure (PAE) in an economy equals 2000 + 0.8Y and potential output (Y*) equals 9000, then this economy has:Group of answer choicesa recessionary gap.No output gap.no autonomous expenditure.an expansionary gap.no induced expenditure.

Question

If planned aggregate expenditure (PAE) in an economy equals 2000 + 0.8Y and potential output (Y*) equals 9000, then this economy has:Group of answer choicesa recessionary gap.No output gap.no autonomous expenditure.an expansionary gap.no induced expenditure.

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Solution

To determine whether there is an output gap, we first need to find the equilibrium level of output (Y) where planned aggregate expenditure (PAE) equals actual output (Y).

The equation for PAE is given as 2000 + 0.8Y. To find the equilibrium, we set PAE equal to Y:

2000 + 0.8Y = Y

Rearranging the equation to solve for Y gives:

2000 = 0.2Y

Y = 2000 / 0.2

Y = 10,000

The potential output (Y*) is given as 9,000. Since the equilibrium output (10,000) is greater than the potential output (9,000), this economy has an expansionary gap of 1,000 (10,000 - 9,000).

So, the correct answer is "an expansionary gap."

This problem has been solved

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