The government purchases in the hypothetical closed economy are $250 million. National saving is $275 million, which is composed of private saving at $200 million and public saving at $75 million. Since public saving is positive, the government is running a budget surplus.
To solve for the unknowns, we can use the national income accounting identity for a closed economy, which is GDP = C + I + G, where GDP is the gross domestic product, C is consumption, I is investment, and G is government purchases.
Given that GDP is $900 million, C is $375 million, and I is $275 million, we can solve for G:
G = GDP - C - I
G = $900 million - $375 million - $275 million
G = $250 million
So, the amount for government purchases is $250 million.
Next, we calculate national saving (S) using the identity S = GDP - C - G:
S = $900 million - $375 million - $250 million
S = $275 million
National saving is $275 million.
Private saving is given by the difference between income (Y), taxes and transfers (T), and consumption (C): Private Saving = Y - T - C.
Private Saving = $900 million - $325 million - $375 million
Private Saving = $200 million
So, private saving is $200 million.
Public saving, also known as the government budget balance, is the difference between government receipts (taxes minus transfers) and government spending: Public Saving = T - G.
Public Saving = $325 million - $250 million
Public Saving = $75 million
Public saving is $75 million.
With a positive public saving figure, the government is running a budget surplus