Problem $3.$ Three alternative solutions, A$,$ B and C$,$ to an engineering design problem are being considered. The costs and benefits of the alternatives are the following. Rank the alternatives from the best to the worst based on the net present worth method of analysis. The annual discount rate is $5\%$ and each alternative has the duration of $20$ years. All amounts are in million dollars. Show the cash flow diagram for each alternative.

$\backslash$table$[[$Alternative$,$Initial,Annual Maintenance,Annual,Salvage Value$],[$Cost$,$Cost,Benefit,$],[$A$,1\mathrm{.}0,0\mathrm{.}05,0\mathrm{.}01,0\mathrm{.}10],[$B$,1\mathrm{.}5,0\mathrm{.}03,0\mathrm{.}02,0\mathrm{.}15],[$C$,0\mathrm{.}7,0\mathrm{.}01,0\mathrm{.}0,0\mathrm{.}10]]$