Answer: $20 BILLION
Explanation: Increase in govt. purchases can be calculated as follows :-
[tex]\triangle\:G =\frac{\triangle\:AD}{Multiplier}[/tex]
where,
Multiplier = 1/MPS
Multiplier = 1/0.4
= 2.5
ΔG = change in spending
ΔAD = change in aggregate demand
now, putting the values in equation we get :-
[tex]\triangle\:G =\frac{\$50}{2.5}[/tex]
= $20 billion