You must analyze two projects, $x$ and $Y.$ Each project costs $$10,000,$ and the firm's WACC is $12\%.$ The expected net cash flows are as follows:

a$.$ Calculate each project's NPV$,$ IRR, MIRR, payback, and discounted payback.

b$.$ Which project$($s$)$ should be accepted if they are independent?

c$.$ Which project$($s$)$ should be accepted if they are mutually exclusive?

d$.$ What is the crossover rate?