To calculate the total change in aggregate income and planned spending resulting from an increase in autonomous expenditures, you can use the concept of the expenditure multiplier.
The expenditure multiplier (k) is determined by the marginal propensity to consume (MPC) using the formula:
\[ k = \frac{1}{1 - MPC} \]
Given that MPC = 0.8:
\[ k = \frac{1}{1 - 0.8} = \frac{1}{0.2} = 5 \]
Now, with an increase in autonomous expenditures of $10,000:
\[ \text{Total Change in Income} = k \times \text{Change in Autonomous Expenditures} = 5 \times 10,000 = 50,000 \]
Thus, the total change in aggregate income and planned spending is $50,000.