Engineering and Business?

Would like to have a business and engineering oriented career. Was thinking undergrad in civil engineering. Maybe Michigan for a dual in business. I know general bba's are worthless but I just want it as a compliment. Willing to study a lot and go to some summer school. I want to run a major construction company someday but also be knowledged enough to know whats going on in the field. Is this a good path? What kind of graduate degrees would help for down the line someday. M.eng in Civil? MBA? Construction Management?