. (30 points) Consider an economy described as follows: Y=C+I+G Y=9,000 G=2,000 T=1,000 C=2000+1/2(Y-T) I=1,600-100r

To find the equilibrium level of output in this economy, we need to solve for the equilibrium level of output (Y) where aggregate demand equals aggregate supply.Given the equations: First, let's substitute the given values into the consumption function: Now, we can substitute the consumption function into the aggregate demand equation: Simplify the equation: To solve for Y, we need to isolate it on one side of the equation: Now, we need to find the equilibrium level of output by setting aggregate demand equal to aggregate supply: Substitute the expression for Y: Since the equation does not make sense, it seems there is an error in the given information or the calculations. Please double-check the provided values and equations.