Consider the following two mutually exclusive projects: Year $0,1,2,3,4.$ Cash Flow $($A$)$: $-$$$419,000,47,000,59,000,76,000,534,000.$ Cash Flow $($B$)$: $-$$ $37,000,19,800,13,900,15,600,12,400.$ The required return on these investments is $11$ percent. A: What is the payback period for each project? Note: Do not round intermediate calculations and round you answers to $2$ decimal places, e$.$g$,32\mathrm{.}16.$ B: What is the NPV for each project? Note: Do not round intermediate calculations and round your answers to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$ C: What is the IRR for each project? Note: Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$ D: What is the profitability index for each project? Note: Do not round intermediate calculations and round your answers to $3$ decimal places, e$.$g$.,32\mathrm{.}161.$ E: Base on your answers in $($a$)$ through $($C$),$ which project will you finally choose?