The aggregate expenditures schedule, C + I(g), is determined by adding the investment schedule, I(g) (constant $20 billion)
,vertically to the upsloping consumption schedule, C.
It is assumed that investment is the same at each level of GDP. Thus, the vertical distance between C and C + I(g) does not change.
Equilibrium GDP is determined where the aggregate expenditures schedule intersects the 45 degree line, at $470 billion dollars.
The aggregate expenditures line shows that total spending rises with income and output (GDP), but not a much as income rises. Why?
Because the the marginal propensity to consume (MPC) (slope of line C) is less than 1. A part of any increase in income will be saved rather than spent. And because the aggregate expenditures line is parallel to the consumption line, the slop of the aggregate expenditures line is also equal to the MPC for the economy and is less that 1.
Aggregate expenditures rise by $15 billion for every $20 billion increase in real output and income, because $5 billion of each $20 billion increment is saved. Thus, the slop of the aggregate expenditures line is $15/$20 =0.75 < 1
No levels of GDP above equilibrium are sustainable because at those levels, aggregate spending does not cover GDP. Here, the aggregate expenditures schedule lies below the 45 degree line. The underspending causes inventories to rise. Firms will need to adjust downward, toward the equilibrium output level of $470 billion.
At levels of GDP below equilibrium, the economy spends in excess of what is being produced by firms. Here, aggregate consumption exceeds total output. The aggregate expenditures schedule lies above the 45 degree line. This overspending causes inventories to fall below their planned level. Firms will adjust production upward, toward the $470 billion output.
Once the equilibrium level has been achieved, it will be sustained there indefinitely unless there is some change in the location of the aggregate expenditure lines.