Question
Given the consumption function C = R100 billion + 0.75 (R300 billion), the equilibrium level is equal to:
R100 billion
R225 billion
R300 billion
R325 billion
R100 billion
R225 billion
R300 billion
R325 billion
Answers
GPT-4o mini
To find the equilibrium level of consumption (C), we need to plug in the given values into the consumption function.
The consumption function is given by:
\[
C = \text{R}100 \text{ billion} + 0.75 \times (Y)
\]
where \(Y\) is the national income or output. In this case, \(Y\) is R300 billion.
Substituting \(Y\) into the consumption function:
\[
C = R100 \text{ billion} + 0.75 \times R300 \text{ billion}
\]
Calculating the second term:
\[
0.75 \times R300 \text{ billion} = R225 \text{ billion}
\]
Now, adding both parts together:
\[
C = R100 \text{ billion} + R225 \text{ billion} = R325 \text{ billion}
\]
Therefore, the equilibrium level is equal to **R325 billion**.
The consumption function is given by:
\[
C = \text{R}100 \text{ billion} + 0.75 \times (Y)
\]
where \(Y\) is the national income or output. In this case, \(Y\) is R300 billion.
Substituting \(Y\) into the consumption function:
\[
C = R100 \text{ billion} + 0.75 \times R300 \text{ billion}
\]
Calculating the second term:
\[
0.75 \times R300 \text{ billion} = R225 \text{ billion}
\]
Now, adding both parts together:
\[
C = R100 \text{ billion} + R225 \text{ billion} = R325 \text{ billion}
\]
Therefore, the equilibrium level is equal to **R325 billion**.