A month sounds considerably overoptimistic to me. Wrong steps and backtracking are probably to be expected, and it would probably be irresponsible to commit to a solution before allowing other intelligent people (who really want to find the right answer, not carry on endless debate) to review it in detail. For a sufficiently intelligent and committed worker, I would not be surprised if they could produce a reliably correct metaethical theory within two years, perhaps one, but a month strikes me as too restrictive.