Suppose disposable income increases from R11 trillion to R12 trillion. At the same time, consumption expenditure increases from R4.2 trillion to ________. Thus, the MPC must equal ________.

R5.0 trillion; 0.50

R5.0 trillion; 0.80

R4.4 trillion; 0.40

R5.5 trillion; 0.50

1 answer

To determine the new level of consumption expenditure and the marginal propensity to consume (MPC), we need to analyze the change in disposable income and the change in consumption expenditure.

  1. Change in Disposable Income:

    • Initial disposable income: R11 trillion
    • New disposable income: R12 trillion
    • Change in disposable income: R12 trillion - R11 trillion = R1 trillion
  2. Change in Consumption Expenditure: We need to find the new consumption expenditure, which we'll denote as \( C \).

    • Initial consumption expenditure: R4.2 trillion
    • We can use the formula for MPC to find \( C \):

    \[ MPC = \frac{\Delta C}{\Delta Y} \]

    where \(\Delta C\) is the change in consumption and \(\Delta Y\) is the change in income.

    We know \(\Delta Y = R1 trillion\).

    We also know that: \[ \Delta C = C - 4.2 , (where , C , is , the , new , consumption , expenditure) \]

    Plugging into the formula for MPC: \[ MPC = \frac{C - 4.2}{1} \]

  3. Once we find \( C \), the next step is to calculate the MPC. We have some choices for \( C \) provided. Let's test them.

    • If we check for \( C = R5.0 trillion \): \[ MPC = \frac{5.0 - 4.2}{1} = 0.8 \] This matches the option \( R5.0 trillion; 0.80 \).

    • For completeness, let's check the other options:

      • If \( C = R4.4 trillion \): \[ MPC = \frac{4.4 - 4.2}{1} = 0.2 \] (not a choice)
      • If \( C = R5.5 trillion \): \[ MPC = \frac{5.5 - 4.2}{1} = 1.3 \] (not a choice)
      • If \( C = R4.4 trillion \): \[ MPC = \frac{4.4 - 4.2}{1} = 0.2 \] (not a choice)

The only feasible solution based on calculations is:

  • Consumption expenditure increases from R4.2 trillion to R5.0 trillion (which matches) and the MPC must equal 0.80.

Thus, the answer is:

R5.0 trillion; 0.80