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The task in the image involves plotting the aggregate expenditures schedule for a private closed economy, with the added planned investment of $6 billion. Let's break this down.

### Steps:
1. **Consumption Schedule:** The graph shows a consumption schedule $C$ that represents how consumption changes with real GDP.
2. **Planned Investment (I):** You're given that planned investment $I$ is $6 billion. This means that to plot the aggregate expenditures schedule, we need to shift the consumption line $C$ upward by $6 billion to get the new schedule $C + I$.

### Approach:
- The consumption line $C$ represents consumption at various levels of real GDP.
- To plot the aggregate expenditures line $C + I$, we'll move each point on the $C$ line up by $6 billion.
  
#### What to do in the tool:
- You need to choose two points on the consumption line $C$ to add $6 billion to the y-coordinate and then plot those new points as the new aggregate expenditures schedule line $C + I$.
- For instance, if $C = (x_1, y_1)$, the new aggregate expenditure point will be $(x_1, y_1 + 6)$.
- Do the same for a second point to get the line.

### Identifying Equilibrium GDP:
- Equilibrium GDP occurs where the new aggregate expenditures line $C + I$ intersects the 45-degree line. This is where total spending equals total output (real GDP).

Would you like help calculating specific points to plot this on the graph?

Using the given consumption schedule for a private closed economy, plot the aggregate expenditures schedule with a planned investment of $6 billion and identify the new equilibrium GDP.

Learn how to plot the aggregate expenditures schedule for a private closed economy, given a planned investment of $6 billion. Use the consumption schedule and determine the new equilibrium GDP. This problem is suitable for advanced high school economics or introductory college-level courses.

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