To calculate the Real GDP for 2020 using the expenditure approach, we can use the formula:
\[ \text{Real GDP} = C + I + G + (X - M) \]
Where:
- \(C\) = Consumption
- \(I\) = Investment
- \(G\) = Government Spending
- \(X\) = Exports
- \(M\) = Imports
Starting with the Real GDP from 2019:
- Real GDP in 2019 = 250 million dollars
We will adjust each component based on the changes provided:
-
Consumption (C) increased by 20 million dollars:
- New \(C = C_{2019} + 20\)
-
Investment (I) decreased by 5 million dollars:
- New \(I = I_{2019} - 5\)
-
Government Spending (G) increased by 10 million dollars:
- New \(G = G_{2019} + 10\)
-
Exports (X) decreased by 5 million dollars:
- New \(X = X_{2019} - 5\)
-
Imports (M) increased by 15 million dollars:
- New \(M = M_{2019} + 15\)
To simplify our calculations, we can express the 2020 Real GDP using the 2019 Real GDP and the changes:
\[ \text{Real GDP 2020} = 250 + 20 - 5 + 10 - 5 - 15 \]
Now calculate it step-by-step:
\[ \text{Real GDP 2020} = 250 + 20 - 5 + 10 - 5 - 15 \] \[ \text{Real GDP 2020} = 250 + 20 = 270 \] \[ \text{Real GDP 2020} = 270 - 5 = 265 \] \[ \text{Real GDP 2020} = 265 + 10 = 275 \] \[ \text{Real GDP 2020} = 275 - 5 = 270 \] \[ \text{Real GDP 2020} = 270 - 15 = 255 \]
Thus, the Real GDP of the given economy in 2020 is:
\[ \boxed{255 \text{ million dollars}} \]