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

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

$0$$ $65,000$$ $17,900$

$130,0009,650$

$230,0009,650$

$330,0009,650$

a$-1.$

If the required return is $12$ percent, what is the profitability index for both projects? $($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 Il

b$-1.$

What is the NPV for both projects? $($A negative answer should be indicated by a minus sign. 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 I

Project II