Answer:
(1) In a closed economy, assuming investment demand is zero,
Y = C + G
Y - C = G
S = G, where
Y: Income, C: Consumption, S: Savings and G: Government spending
So,
S / Y = G / Y [dividing each side by Y]
[tex]\Delta \mathrm{S} / \Delta \mathrm{Y}=\Delta \mathrm{G} / \Delta \mathrm{Y}[/tex]
MPS = $100 billion / $1000 billion = 0.10
(2) MPC = 1 - MPS = 1 - 0.10 = 0.90