Answer:
Change in government purchase needed = $40
Step-by-step explanation:
Multiplier denotes the extent to which, change in an autonomous variable leads to multiple change in economy income.
Multiplier 'k' = Change in Income 'ΔY' / Change in autonomous variable 'ΔG', as autonomous variable = government purchase here.
ΔY needed = 200 billion , k = 5 , ΔG = ?
k = ΔY / ΔG
5 = 200 / ΔG
ΔG = 200 / 5
ΔG = 40
Change in government purchase needed = $40