The management of Winstead Corporation is considering the following three investment projects $($Ignore income taxes.$)$:

$\backslash$table$[[$Investment required,Project Q$,$Project R$,$Project S$],[$Present value of cash inflows,$$50,000,$$$89,000,159,000],[,$$$54,100,$$$102,280,174,790]]$

The only cash outflows are the initial investments in the projects.

Required:

Rank the investment projects using the project profitability index.

$\backslash$table$[[$Rank $1,],[$Rank $2,],[$Rank $3,]]$