Answer :
Let's break down the solution step by step. We'll use the given data and national accounting identities to find national saving, private saving, public saving, and the budget status.
### Given Data:
- Gross Domestic Product (GDP), [tex]\( Y \)[/tex]: \[tex]$950 million - Government Purchases, \( G \): \$[/tex]1,975 million
- Taxes minus Transfer Payments, [tex]\( T \)[/tex]: \[tex]$325 million - Consumption, \( C \): \$[/tex]500 million
- Investment, [tex]\( I \)[/tex]: \[tex]$200 million ### 1. Calculating National Saving \( S_n \): National saving \( S_n \) can be calculated by the formula: \[ S_n = Y - C - G \] Substituting the given values: \[ S_n = 950 - 500 - 1975 \] \[ S_n = 950 - 500 = 450 \] \[ S_n = 450 - 1975 = -1525 \] So, National Saving is \(\$[/tex] -1525\) million.
### 2. Calculating Private Saving [tex]\( S_p \)[/tex]:
Private saving [tex]\( S_p \)[/tex] can be calculated by the formula:
[tex]\[ S_p = Y - T - C \][/tex]
Substituting the given values:
[tex]\[ S_p = 950 - 325 - 500 \][/tex]
[tex]\[ S_p = 950 - 825 = 125 \][/tex]
So, Private Saving is [tex]\(\$ 125\)[/tex] million.
### 3. Calculating Public Saving [tex]\( S_{gov} \)[/tex]:
Public saving [tex]\( S_{gov} \)[/tex] can be calculated by the formula:
[tex]\[ S_{gov} = T - G \][/tex]
Substituting the given values:
[tex]\[ S_{gov} = 325 - 1975 \][/tex]
[tex]\[ S_{gov} = -1650 \][/tex]
So, Public Saving is [tex]\(\$ -1650\)[/tex] million.
### 4. Determining the Budget Status:
The budget status depends on the value of public saving:
- If [tex]\( S_{gov} \)[/tex] is positive, the government is running a budget surplus.
- If [tex]\( S_{gov} \)[/tex] is negative, the government is running a budget deficit.
Since [tex]\( S_{gov} = -1650 \)[/tex], the government is running a budget deficit.
### Summary Table:
| Metric | Value (\[tex]$ Million) | |-------------------|--------------------| | National Saving | -1525 | | Private Saving | 125 | | Public Saving | -1650 | | Budget Status | Deficit | So based on these calculations, the government purchases are \$[/tex]1975 million, the national saving is \[tex]$-1525 million, private saving is \$[/tex]125 million, public saving is \$-1650 million, and the government is running a budget deficit.
### Given Data:
- Gross Domestic Product (GDP), [tex]\( Y \)[/tex]: \[tex]$950 million - Government Purchases, \( G \): \$[/tex]1,975 million
- Taxes minus Transfer Payments, [tex]\( T \)[/tex]: \[tex]$325 million - Consumption, \( C \): \$[/tex]500 million
- Investment, [tex]\( I \)[/tex]: \[tex]$200 million ### 1. Calculating National Saving \( S_n \): National saving \( S_n \) can be calculated by the formula: \[ S_n = Y - C - G \] Substituting the given values: \[ S_n = 950 - 500 - 1975 \] \[ S_n = 950 - 500 = 450 \] \[ S_n = 450 - 1975 = -1525 \] So, National Saving is \(\$[/tex] -1525\) million.
### 2. Calculating Private Saving [tex]\( S_p \)[/tex]:
Private saving [tex]\( S_p \)[/tex] can be calculated by the formula:
[tex]\[ S_p = Y - T - C \][/tex]
Substituting the given values:
[tex]\[ S_p = 950 - 325 - 500 \][/tex]
[tex]\[ S_p = 950 - 825 = 125 \][/tex]
So, Private Saving is [tex]\(\$ 125\)[/tex] million.
### 3. Calculating Public Saving [tex]\( S_{gov} \)[/tex]:
Public saving [tex]\( S_{gov} \)[/tex] can be calculated by the formula:
[tex]\[ S_{gov} = T - G \][/tex]
Substituting the given values:
[tex]\[ S_{gov} = 325 - 1975 \][/tex]
[tex]\[ S_{gov} = -1650 \][/tex]
So, Public Saving is [tex]\(\$ -1650\)[/tex] million.
### 4. Determining the Budget Status:
The budget status depends on the value of public saving:
- If [tex]\( S_{gov} \)[/tex] is positive, the government is running a budget surplus.
- If [tex]\( S_{gov} \)[/tex] is negative, the government is running a budget deficit.
Since [tex]\( S_{gov} = -1650 \)[/tex], the government is running a budget deficit.
### Summary Table:
| Metric | Value (\[tex]$ Million) | |-------------------|--------------------| | National Saving | -1525 | | Private Saving | 125 | | Public Saving | -1650 | | Budget Status | Deficit | So based on these calculations, the government purchases are \$[/tex]1975 million, the national saving is \[tex]$-1525 million, private saving is \$[/tex]125 million, public saving is \$-1650 million, and the government is running a budget deficit.