An economy is described by the following equations:C = 1600 + 0.8(Y – T)I = 1000G = 1800T = 3000 + 0.01 YWhat is the equilibrium level of output in this economy?Group of answer choices7600.57650.48420.59615.4

To find the equilibrium level of output in this economy, we need to set up the equation for aggregate demand (AD) and set it equal to aggregate supply (AS). In a simple economy, aggregate demand is the sum of consumption (C), investment (I), and government spending (G). Aggregate supply in the short run is typically assumed to be the total output of the economy (Y).

Given the equations:

C = 1600 + 0.8(Y – T) I = 1000 G = 1800 T = 3000 + 0.01Y

We can substitute T into the consumption function:

C = 1600 + 0.8(Y – (3000 + 0.01Y)) C = 1600 + 0.8Y - 2400 - 0.008Y C = 200 + 0.792Y

Now we can set up the equation for aggregate demand:

AD = C + I + G AD = (200 + 0.792Y) + 1000 + 1800 AD = 3000 + 0.792Y

In equilibrium, AD = AS, so we can set AD equal to Y and solve for Y:

3000 + 0.792Y = Y 3000 = 0.208Y Y = 3000 / 0.208 Y = 14423.08

So, the equilibrium level of output in this economy is approximately 14423.08. This is not one of the provided answer choices, so there may be a mistake in the problem or in the provided answer choices.