Thank you everyone for your suggestions. I tried most of your examples, although a couple didn't work as I desired (unless I implemented them incorrectly). I have used Limbic~Region's second example, its tidy and functions well: 
foreach my $col (
        sort {
            my $aa = $products{$a}{Q} > 0 ? "A$a" : "B$a";
            my $bb = $products{$b}{Q} > 0 ? "A$b" : "B$b";
            ($aa <=> $bb || $aa cmp $bb)
        }
        keys %products
) {

[download]
Thanks again, Chris

In reply to Re^2: Complex conditional sort by Anonymous Monk
in thread Complex conditional sort by Zhris

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