An economy has the following characteristics:
\(\mathrm{Y}=\) National income
Taxes \(=\mathrm{T}=0.25 \mathrm{Y}\)
\(\mathrm{C}=\) Consumption \(=400+0.85(\mathrm{Y}-\mathrm{T})\)
\(\mathrm{I}=300\)
\(G=200\)
\(X=500\)
\(\mathrm{M}=0.1(\mathrm{Y}-\mathrm{T})\)
Find the equilibrium for this economy. If potential GDP is \(3,500,\) then what
change in government spending is needed to achieve this level? Do this problem
two ways. First, plug 3,500 into the equations and solve for G. Second,
calculate the multiplier and figure it out that way.