The owner of Atlantic City Confectionary is considering the purchase of a new semiautomatic candy machine. The machine will cost $$29,000$ and last $11$ years. The machine is expected to have no salvage value at the end of its useful life. The owner projects that the new candy machine will generate $$4,700$ in after$-$tax savings each year during its life $($including the depreciation tax shield$).$

Use Appendix A for your reference.

Note: 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$)6$ percent, $($b$)8$ percent, and $($c$)10$ percent.

Note: Round your final answers to $2$ decimal places.

$\backslash$table$[[$After$-$Tax Hurdle Rate,$\backslash$table$[[$Profitability$],[$Index$]]],[($a$)6$ percent,$],[($b$)8$ percent,$],[($c$)10$ percent,$]]$