Blossom Company is contemplating an investment in a project with a $3-$year life span. The initial investment is $$47820$ and annual cash inflows were $$22000$ for year $1$ ; $$21000$ for year $2$ ; and $$25000$ for year $3.$ The salvage value is $$0$ and straight$-$line depreciation will be used. Assuming a $15\%$ required rate of return, what is the potential investment's profitability index?

$\backslash$table$[[$Year$,\backslash$table$[[$Present Value$],[$of $1$ at $15\%$