When I was a new engineer I wanted to do a project, but I had to justify the cost. ROI had to be two years or less or I wouldn't get funding. I was doing it as a cost avoidance initiative which is sometimes hard to prove, but when I found out all I had to do was present numbers on a spreadsheet, I said, "I can do that," and proved it within fifteen minutes.
Nobody's going to do the research to actually prove or debunk your numbers.
