Final answer:
The aggregate demand needs to increase to shift the economy back to long-run equilibrium, and the extent of change in government purchases depends on the MPC. A higher MPC means that for every dollar increase in government spending, a larger portion will be spent, thus requiring less spending to achieve the desired increase in aggregate demand.
Step-by-step explanation:
The student's question is about how much aggregate demand needs to change to restore an economy to its long-run equilibrium after a recession, and how this change affects government purchases, especially considering different values of the marginal propensity to consume (MPC).
In the scenarios described by the figures, we observe a recession where a decline in aggregate demand has resulted in an output level below potential GDP, and the expansionary fiscal policy is used as a tool to shift the aggregate demand curve back to the right, towards full employment.
To restore the economy to its long-run equilibrium, aggregate demand must be increased to shift the demand curve to the point where it intersects the short-run aggregate supply curve at potential GDP.
The amount of government purchases required to implement this fiscal policy change will depend on the MPC, with a higher MPC requiring a smaller increase in government spending to achieve the same effect on aggregate demand.
For instance, if the MPC is 0.75, a certain amount of government spending will have a larger effect than if the MPC were 0.6, since more of the additional income will be spent.