Using the expenditure approach, the Real GDP of a given economy was calculated as 250 million dollars in 2019. In 2020, the economy experienced the following:

An increase of 20 million dollars in consumption.
A decrease of 5 million dollars in investment.
An increase of 10 million dollars in government spending.
The value of all exports decreased by 5 million dollars.
The value of all imports increased 15 million dollars.
What is the Real GDP of the given economy in 2020?

(1 point)
Responses

295 million dollars
295 million dollars

255 million dollars
255 million dollars

235 million dollars
235 million dollars

270 million dollars
270 million dollars

1 answer

To calculate the Real GDP for 2020 using the expenditure approach, we begin with the formula:

\[ \text{Real GDP} = C + I + G + (X - M) \]

Where:

  • \( C \) = Consumption
  • \( I \) = Investment
  • \( G \) = Government Spending
  • \( X \) = Exports
  • \( M \) = Imports

We know the Real GDP in 2019 was 250 million dollars, so we will use this base and adjust it according to the changes for 2020:

  1. Consumption increased by 20 million dollars: \[ C_{2020} = C_{2019} + 20 \]

  2. Investment decreased by 5 million dollars: \[ I_{2020} = I_{2019} - 5 \]

  3. Government Spending increased by 10 million dollars: \[ G_{2020} = G_{2019} + 10 \]

  4. Exports decreased by 5 million dollars: \[ X_{2020} = X_{2019} - 5 \]

  5. Imports increased by 15 million dollars: \[ M_{2020} = M_{2019} + 15 \]

Next, we can summarize these changes as follows (considering that \( C + I + G + (X - M) = 250 \) million for 2019):

Calculating the net change in Real GDP:

  • Increase in Consumption: +20 million
  • Decrease in Investment: -5 million
  • Increase in Government Spending: +10 million
  • Decrease in Exports: -5 million (X decreases)
  • Increase in Imports: -15 million (M increases)

Now, we can summarize these overall changes:

\[ \text{Net change} = 20 - 5 + 10 - 5 - 15 \] \[ \text{Net change} = 20 - 5 + 10 - 5 - 15 = 5 \]

Adding this net change to the 2019 Real GDP:

\[ \text{Real GDP}_{2020} = 250 + 5 = 255 \text{ million dollars} \]

Therefore, the Real GDP of the economy in 2020 is 255 million dollars.

The correct response is:

255 million dollars