Bruin, Incorporated, has identified the following two mutually exclusive projects:

Year Cash Flow $($A$)$ Cash Flow $($B$)$

$0$$ $28,700$$ $28,700$

$114,1004,150$

$212,0009,650$

$39,05014,900$

$44,95016,500$

a$-1.$

What is the IRR for each of these projects? $($Do not round intermediate calculations and enter your answers as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

a$-2.$

Using the IRR decision rule, which project should the company accept?

multiple choice $1$

Project A

Project B

a$-3.$ Is this decision necessarily correct?

multiple choice $2$

Yes

No

b$-1.$

If the required return is $12$ percent, what is the NPV for each of these projects? $($Do not round intermediate calculations and round your answers to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

b$-2.$ Which project will the company choose if it applies the NPV decision rule?

multiple choice $3$

Project A

Project B