Two insulation thickness alternatives have been proposed for a process steam line subject to severe weather conditions. One alternative must be selected. Estimated installation cost and annual savings in heat loss are given below.

$\backslash$table$[[\backslash$table$[[$Insulation$],[$Thickness$]],$Installed Cost,$\backslash$table$[[$Annual Savings in$],[$Heat Loss$]],$Life of Insulation$],[2cm,$$$20,000,$$$6,900$ per year,$4$ years$],[3cm,$$$35,000,$$$9,000$ per year,$6$ years$]]$

The MARR $=10\%$ per year. The study period is $12$ years. Draw the cash flow diagram for each alternative over the entire study period.