Use the following information for all following questions:The cash flows for two projects are given below $($in thousand $$)$:Year: $0123$

Project $1$: $-500400200100$

Project $2$: $-500100200500$

The cost of capital is $15\%,$ and the two projects are mutually exclusive.

a$.$IRRs of the two projects? Using IRR, which project would the firm accept?

b$.$NPVs of the two projects? Using NPV$,$ which project would the firm accept?

c$.$Crossover rate?

d$.$Using all information in hand, which project would the firm accept?

e$.$Using Payback Period, which project would the firm accept?

Show all work $($formulas $,$inputs, calculations$)$