Bruin, Inc., has identified the following two mutually exclusive projects:

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

$0$$ $29,400$$ $29,400$

$114,8004,500$

$212,70010,000$

$39,40015,600$

$45,30017,200$

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

c$.$

At what discount rate would the company be indifferent between these two projects? $($Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$