Consider the following projects, $x$ and $Y$ where the firm can only choose one. Project $x$ costs $$1200$ and has cash flows of $$147,$$$211,$$$352,$$$478,$$$526$ in each of the next $5$ yrars. Project $Y$ also costs $$1200,$ and generates cash flows of $$293,$$$305,$$$438,$$$520$ for the next $4$ years, respectively. WACC $=10\%.$

A$)$ Draw the timelines for both projects: $x$ and $Y.$

B$)$ Calculate the projects' NPVs$,$ IRRs, payback periods.

C$)$ If the two projects are independent, which project$($s$)$ should be chosen?

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

E$)$ Plot NPV profiles for the two projects. Identify the projects' IRRs on the graph.

F$)$ If the WACC were $5$ percent, would this change your recommendation if the projects were mutually exclusive? If the WACC were $15$ percent, would this change your recommendation? Explain your answers.

G$)$ There is a "crossover rate" of X$\text{'}$s and Y$\text{'}$s NPV curves, and mark it on the graph with Point O$.$ Explain in words what this rate is and how it affects the choice between mutually exclusive projects.

H$)$ If it possible for conflicts to exist between the NPV and the IRR when independent projects are being evaluated? Explain your answer.