You are choosing between two projects. The cash flows for the projects are given in the following table$($$ million$)$: $\backslash$table$[[$Project$,$Year $0,$Year $1,$Year $2,$Year $3,$Year $4],[$A$,-$$$51,$$$27,$$$18,$$$20,$$$12$

a$.$ What are the IRRs of the two$$ projects?

b$.$ If your discount rate is $4\mathrm{.}9\%4\mathrm{.}9\%,$ what are the NPVs of the two$$ projects?

c$.$ Why do IRR and NPV rank the two projects$$ differently?