Consider the following projects, $x$ and $Y$ where the firm can only choose one. Project $x$ costs $$1500$ and has cash flows of $$678,$$$652,$$$347,$$$111,$$$54,$$$16$ in each of the next $6$ years. Project $Y$ also costs $$1500,$ and generates cash flows of $$738,$$$693,$$$405$ for the next $3$ years, respectively. WACC $=11\%.$

A$)$ If the two projects are mutually exclusive, which projects should be chosen?