A simple macroeconomic system is described below. Assuming the system follows the aggregate expenditures model, please answer the questions that follow.

C = C₀+ cY_d

C = consumption expenditure

C₀= 630

C₀= autonomous consumption expenditure

c = 0.7

c = marginal propensity to consume (MPC)

Y_d= Y - NT

Y_d= disposable income

NT = tY

NT = net taxes

t = 0.15

t = tax rate

I₀= 170

I₀= investment expenditure

G₀= 580

G₀= government expenditure

X₀= 50

X₀= exports

IM = IM₀+ mY

IM = imports

IM₀= 130

IM₀= autonomous imports

m = 0.2

m = marginal propensity to import (MPM)

Y = real GDP/income

a)Calculate the equilibrium level of income. Keep as much precision as possible during your calculations. Your final answer should be accurate to the nearest dollar.

Equilibrium = $

b)What is the multiplier for government expenditures? That is, increasing government expenditures by $1 increases the equilibrium level of income by how much? Keep as much precision as possible during your calculations. Your final answer should be accurate to at least two decimal places.

Government Multiplier =

c)Suppose that the potential income for this economy is $2,859. What change in government spending would eliminate this gap and bring the economy back to equilibrium? Keep as much precision as possible during your calculations. Your final answer should be accurate to the nearest dollar.

Goverment Change=