The Software Corporation is trying to choose between the following two mutually exclusive design

projects:w $($II$)$

Year Project I Project II

$0-$$$30,000-$$$12,000$

$118,0007,500$

$218,0007,500$

$318,0007,500$

a$.$ If the required return is $10$ percent and Software Corporation applies the profitability index decision rule,

which project should the firm accept?

b$.$ If the company applies the NPV decision rule, which project should it take?

c$.$ Explain why your answers in $($a$)$ and $($b$)$ are different.

Please, I want the solution step by step, not Excel or a financial calculator