Double Major in CH E and MGMT??

Hello, currently I’m an undergraduate student pursuing a B.S in Chemical Engineering. I’m currently in my second semester with a GPA of 3.94 and brought a fair amount of credits to college with me so I’ve already began taking the prescribed Chemical Engineering courses. I am also interested in business so I am debating whether or not I should also pursue a major in business as well. With taking some classes over summer (in the future) along with my AP credits, I am pretty confident that I will have the space to fit this in (will look into greater detail here later though). The main problem I’m having is which business major to choose?
Future Plans: After my 4 years I plan on going into the Chemical Engineering field and then I would like to eventually move into a management role in a company (maybe CEO? but more likely a VP) and also pursue an MBA in finance (hopefully funded by my company). I realize it is a bit odd that I’m putting so much focus in engineering when my end game is a business career, but I really think to have the knowledge and experience of an engineer when managing a business is a priceless skill and would greatly help knowing the exact inter-workings of a company when working from the “top”. Right now I’m leaning toward a management major as indicated in the discussion title, but I would greatly appreciate your opinions on what major you think I should choose, if doing a double major is a good choice, and if you feel my plan sounds logical. Thanks!