The expected cash flows of two mutually exclusive projects, $P$ and $Q$ are:

$\backslash$table$[[$Year$,0,1,2,3,4,5],[P,(1000),(1200),(600),(250),2000,4000],[Q,(1600),200,400,600,800,100]]$

$($a$)$ Construct the NPV profiles for Projects $P$ and $Q.$

$($b$)$ What is the IRR of each project?

$($c$)$ Which project would you choose if the cost of capital is $10$ percent? $20$ percent?

$($d$)$ What is each project's MIRR if the cost of capital is $12$ percent?