Profitability Index versus NPV Levis Group, a consumer electronics conglomerate, is reviewing its annual budget in wireless technology. It is considering investments in three different technologies to develop wireless communication devices. Consider the following cash flows of the three independent projects. Assume the discount rate is $10$ percent. Further, the company has only $$45$ million to invest in new projects this year.

$\backslash$table$[[$Cash Flows $($in millions$)],[$Year$,$L$6,$G$5,$WI$-$FI$,],[0,-$$$15,-$$$30,-$$$45,],[1,13,21,20,],[2,11,26,38,],[3,9,20,37,]]$

a$.$ Based on the profitability index decision rule, rank these investments.

b$.$ Based on the NPV$,$ rank these investments.

c$.$ Based on your findings in $($a$)$ and $($b$),$ what would you recommend to the company's CEO, and why?