Sunland Co$.$ is considering purchasing equipment that has an initial investment of $$44000.$ The company's required rate of return is $12\%.$ Annual cost savings are projected to be $$22000$ for year $1,$$$18000$ for year $2,$ and $$14000$ for year $3.$ What is the investment's profitability index?

$\backslash$table$[[$Year$,\backslash$table$[[$Present Value$],[$of $1$ at $12\%$