Calculate the net present value and profitability index of each machine. Assume a $9\%$ discount rate. $($If the net present value is negative, use either a negative sign preceding the number eg $-45$ or parentheses eg $(45).$ Round answer for present value to $0$ decimal places, e$.$g$.125$ and profitability index to $2$ decimal places, e$.$g$.10\mathrm{.}50.$ For calculation purposes, use $5$ decimal places as displayed in the factor table provided.$)$

Which machine should be purchased?

$$ should be purchased.