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

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

$0$$ $82,000$$ $21,700$

$137,60011,200$

$237,60011,200$

$337,60011,200$

a$-1.$ If the required return is $10$ 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 II

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