Consider the following projects:

Project C$0$ C$1$ C$2$

A $-2,1002,0001,200$

B $-2,1001,4401,728$

a$.$ calculate the profitability index for A and B assuming a $22\%$ opportunity cost of capital.

b$.$ use the profitability index rule to determine which project$($s$)$ you should accept $($i$)$ if you could undertake both and $($ii$)$ if you could undertake only one.