Fer thla problem draw the cash flow diagram

For the following three pumps A $[$Carbon Steel$),$ B $($Stainless $5$teel$),$ and C $($Titarlum$)$ with the cash flows in the table below with MARR $($Minimum Acceptable Rate of Return$)$ of $10\%($a$)$ draw the cash flow diagram for each of the three machines, $($b$)$ calculate the present worth $($Net Present Value, NPV$)$ of using each of the three machines, and $($c$)$ from your calculation of the NPV for each of the machine, which of the machines would you recommend to the management to invest in$?$ NOTE: USE LEAST COMMON MULTIPLE $($LCM$)$ MITHOD ANALYSIS.

$\backslash$table$[[$Estimate$,$A $($Carbon Steel$),$B $($Stainlest Steel$),\backslash$table$[[$C $($Titanlum$)],[8,000]]],[$P$,$ Initial Cont, $5,5,000,6,000,1,800],[$Annual Operating Cost S$/$year$,2,400,2,000,3,000],[$Annual Revenue, S$/$year$,3,000,3,000,30\%$ of Initial Cost$],[$Salvage$,$ S$,$ value, S$,20\%$ of Initial Cost,$25\%$ of Initial Cost,$],[$Life Span, years,$3,3,4]]$

HINT$($a$)$ The LCM between life years of $2,3,$ and $4$ years is $12$ years with life cycles $6,4,$ and $3$ respectively

$($b$)$ The LCM between life years of $2$ and $3$ years is $6$ years with life cycles $3,$ and $2$ respectively

$($c$)$The LCM between life years of $3,4,$and $6$ years is $12$ years with life cycles $4,3,$ and $2$ respectively

$($d$)$ The LCM between life years of $3,5,$ and $18$ years is $90$ years with life cycles $30,18,$ and $5$ respectively.