Symon's Sausage Corporation is trying to choose between the following two mutually exclusive design projects:

Year Cash Flow $($I$)$ Cash Flow $($II$)$

$0$$ $49,000$$ $23,800$

$124,40012,900$

$224,40012,900$

$324,40012,900$

a$-1.$

If the required return is $10$ percent, what is the profitability index for each project? $($Do not round intermediate calculations and round your answers to $3$ decimal places, e$.$g$.,32\mathrm{.}161.)$

a$-2.$

If the company applies the profitability index decision rule, which project should the firm accept?

multiple choice $1$

Project I

Project II

b$-1.$

What is the NPV for each project? $($Do not round intermediate calculations and round your answers to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

b$-2.$

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

multiple choice $2$

Project II

Project I