The levels of real disposable income and aggregate expenditures for a two-sector economy (consumption and investment) are given in the following table:
$$
\begin{array}{|cc|}
\hline \begin{array}{c}
\text { Real disposable } \\
\text { income (trillions of } \\
\text { dollars per year) }
\end{array} & \begin{array}{c}
\text { Consumption }(C) \\
\text { (trillions of dollars } \\
\text { per year) }
\end{array} \\
\hline \$ 0 & \$ 3.00 \\
1 & 3.25 \\
2 & 3.50 \\
3 & 3.75 \\
4 & 4.00 \\
5 & 4.25 \\
6 & 4.50 \\
7 & 4.75 \\
8 & 5.00 \\
\hline
\end{array}
$$
a. Construct a graph of the consumption function $(C)$.
b. Determine the autonomous consumption, MPC, and MPS for this hypothetical economy.
c. What is the break-even income consumption of real disposable income?
d. What is the amount of dissavings at $$\$ 2$$ trillion real disposable income and the savings at $$\$ 7$$ trillion?