$[5$ points$]$ Consider the investment projects given in the table below.

$\backslash$table$[[$Project Cash Flow $($$$)],[n,A,$B$,$C$,$D$,E,],[0,-150,-150,-150,-100,200,],[1,150,40,30,60,100,],[2,36,40,90,0,-500,],[3,-,70,-120,40,-500,],[4,-,70,-,30,200,],[5,-,-,-,20,600,]]$

a$)$ Use the quadratic formula to compute $i^{**}$ for A $.$

b$)$ Classify each project as either simple or non$-$simple.

c$)$ Apply the cash$-$flow sign rules to each project and determine the number of possible positive $i^{**}$ s$.$ Identify all projects having a unique $i^{**}.$

d$)$ Compute the IRR for projects B$.$ Assume MARR $=12\%.$

e$)$ Compute the MIRR for project A at MARR$=12\%.$