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

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$.,32\mathrm{.}16.)$

$0-2.$ Using the IRR decision rule, which project should the company accept?

Project A

Project B

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