Bramble Inc. is considering a capital project costing $$43810.$ The project is projected to provide annual cost savings of $$19000$ for the first $2$ years and $$16000$ for the third year. The expected salvage value is $$0$ and the company uses straight$-$line depreciation. Assuming a $10\%$ rate of return, what is the project's profitability index?

$\backslash$table$[[$Year$,\backslash$table$[[$Present Value$],[$of $1$ at $10\%$