The owner of Atlantic City Confectionary is considering the purchase of a new semiautomatic candy machine. The machine will cost $$21,000$ and last $8$ years. The machine is expected to have no salvage value at the end of its useful life. The owner projects that the new candy machine will generate $$5,000$ in after$-$tax savings each year during its life $($including the depreciation tax shield$).$

Use Appendix A for your reference. $($Use appropriate factor$($s$)$ from the tables provided.$)$

Required:

Compute the profitability index on the proposed candy machine, assuming an after$-$tax hurdle rate of $($a$)8$ percent, $($b$)10$ percent, and $($c$)12$ percent. $($Round your final answers to $2$ decimal places.$)$

$\backslash$table$[[,,\backslash$table$[[$Profitability$],[$Index$]]],[($a$),8$ percent,$],[($b$),10$ percent,$],[($c$),12$ percent,$]]$