Bruin, Incorporated, has identified the following two mutually exclusive projects:$$YearCash Flow $($A$)$Cash Flow $($B$)0$$ $29,100$$ $29,100114,5004,350212,4009,85039,25015,30045,15016,900$a$-1.$What is the IRR for each of these projects? $($Do not round intermediate calculations and enter your answers as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$ a$-2.$Using the IRR decision rule, which project should the company accept?$$ multiple choice $1$Project AProject B a$-3.$Is this decision necessarily correct?$$ multiple choice $2$YesNo b$-1.$If the required return is $12$ percent, what is the NPV for each of these projects? $($Do not round intermediate calculations and round your answers to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$ b$-2.$Which project will the company choose if it applies the NPV decision rule?$$ multiple choice $3$Project AProject 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$.,32\mathrm{.}16.)$