Answer:
The government should increase spending by $40 million.
Explanation:
The MPC is given as 0.5.
The recessionary gap is $80 billion, this means to reach full employment level of output, the government needs to increase income by $80 billion.
Increase in GDP = [tex]Change\ in\ government\ spending\ \times\ spending\ multiplier[/tex]
Increase in GDP = ΔG\ \times\ [tex]\frac{1}{1-MPC}[/tex]
$80 billion = Δ[tex]G\ \times\ \frac{1}{1-0.5}[/tex]
$80 billion = Δ[tex]\frac{G}{0.5}[/tex]
ΔG = [tex]$80 billion\ \times\ 0.5[/tex]
ΔG = $40 billion