calculate cumulative cash inflows on a year$-$to$-$year basis until the initial investment is recovered.$)$

a$.$ How long will it take for Bill to recoup his initial investment in project A$?$

b$.$ How long will it take for Bill to recoup his initial investment in project B$?$

c$.$ Using the payback period, which project should Bill choose?

d$.$ Do you see any problems with his choice?

a$.$ For Bill to recoup his initial investment in project A$,$ it will take years. $($Round to two decimal places.$)$