Piercy, LLC$,$ has identified the following two mutually exclusive projects:

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

$0$$ $51,000$$ $51,000$

$127,00014,900$

$221,00018,900$

$316,50023,000$

$412,20025,900$

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$-2.$ If you apply the IRR decision rule, which project should the company accept?

b$-1.$ Assume the required return is $10$ 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 you choose of you apply the NPV decision rule?

c$-1.$ Over what range of discount rates would you choose Project A$?($Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

c$-2.$ Over what range of discount rates would you choose Project B$?($Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

d$.$ At what discount rate would you 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$.,32\mathrm{.}16.)$