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Gary King is evaluating two new business opportunities. Each of the opportunities shown below has a $15-$year life. Gary uses a $12\%$ discount rate.

$\backslash$table$[[,$Option $1,$Option $2],[$Equipment purchase and installation,$$71,300,$$$82,260$

Calculate the net present value of the two opportunities. $($Round present value factor calculations to $4$ decimal places, e$.$g$.1\mathrm{.}2514$ and the final answers to $0$ decimal places, e$.$g$.59,991.)$

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$($b$)$

Calculate the profitability index of the two opportunities. $($Round answers to $2$ decimal places, e$.$g$.15\mathrm{.}25.)$

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Option $1$

Option $2$

Profitability Index