The Matterhorn Corporation is trying to choose between the following two mutually exclusive design projects:

a$.$ If the required return is $14$ percent, what is the profitability index for each project? $($Do not round intermediate calculations and

round your answers to $3$ decimal places, e$.$g$.,32\mathrm{.}161.)$

If the required return is $14$ percent and the company applies the profitability index decision rule, which project should the firm accept?

b$.$ If the required return is $14$ percent, what is the NPV for each project? $($Do not round intermediate calculations and round your

answers to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

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