Long$-$term investment decision, payback method Personal Finance Problem Bill Williams has the opportunity to invest in project A that costs $$6,700$ today and promises to pay $$2,100,$$$2,500,$$$2,500,$$$1,900$ and $$1,700$ over the next $5$ years. Or$,$ Bill can invest $$6,700$ in project $B$ that promises to pay $$1,600,$$$1,600,$$$1,600,$$$3,400$ and $$4,000$ over the next $5$ years. $($Hint: For mixed stream cash inflows, 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 decimals places$)$ SOLVE ALL PARTS A$-$D PLEASE